{"id":"be70dd8a-c276-49fe-a029-7d88a021e4ae","arxiv_id":"gr-qc/0312059","paper_version":2,"verdict":"ACCEPT","confidence":"HIGH","novelty_score":2.0,"correctness_risk":"low","formal_verification":"none","parameter_count":0,"one_line_summary":"A comprehensive 2003 survey of Randall-Sundrum brane-world gravity, covering the covariant projection formalism, brane cosmology, the black hole problem, and cosmological perturbation theory, with an explicit list of open problems.","lead":"This is a 2003 review of brane-world gravity: the proposal that our visible universe is a surface inside a higher-dimensional space, with ordinary matter stuck to the surface while gravity leaks into the extra dimensions. It collects the geometry, cosmology, black hole and perturbation results of the Randall-Sundrum programme into a single reference document.","discovery_kind":"unclear","skeptic_critique":{"model":"selfhosted/deepseek-v4.1-flash","headline":"The computable background results (Eqs. 2.22, 5.11) are solid and independently published; the soft spot is the step to 'testable implications', where the sharpest quoted bound (Eq. 4.39) rests on the AdS/CFT conjecture the review itself flags.","rationale":"I agree with the reader's overall assessment: this is an accurate, well-organised review by a central contributor, the covariant projection of Sec. III is cleanly done, and the Oppenheimer-Snyder no-go of Sec. IV.E is a genuinely self-contained reductio (assume a static exterior plus standard Darmois-Israel matching, derive m(R) in Eq. 4.33, compute R^mu_mu = 9GM^2/(2 pi lambda R^6) in Eq. 4.34, contradict Eq. 4.35). I also agree that the paper is honest about its open problems, and I would not move the verdict. Where I differ is on which assumption is most load-bearing. The reader points at the regulator brane of Sec. VIII.A. That is a real device and the reader is right that Fig. 12 depends on it, but the review states the limitation in the text (Eq. 8.23 sets rho_E = 0 and d-bar-dot = 0; Eq. 8.24 forces fine-tuned negative density on the regulator; the text says the neglect 'will only be true for a limited time'). An acknowledged approximation in a review section that is explicitly labelled as an approximation is not the place where the central claim is most exposed. The more exposed step is the transition from 'computable' to 'testable'. The review's own Eq. (2.24) and the sentence after it remove the collider channel for RS 1-brane; the remaining conjecture-independent tests are null bounds; and the sharpest quoted number, l < 10^-2 mm from black-hole X-ray binaries, is introduced with 'According to a conjecture [60]'. That is a fair thing for a review to report, and the review does flag it, but it means the abstract's 'testable implications' is carried by the weakest of the three supports. I want to be clear that this is a framing-weight concern, not a correctness concern: nothing in Sec. II, III, IV.E, or V is wrong, and the derivations I checked (Eq. 2.20 from the junction condition, Eq. 5.11 from Eq. 5.9 with Eq. 5.8, Eq. 4.33-4.34) go through. I deliberately did not raise a possible numerical tension between the high-energy tensor amplitude Eq. (5.40) and the de Sitter zero-mode amplitude Eq. (7.22): both are quoted from the published Langlois-Maartens-Wands analysis [86], and I could not establish a discrepancy with enough confidence to make the claim responsibly. Per the rules on cited results, that is not a load-bearing concern. The concrete test above is the one check that would settle whether my concern lands: strip the large-N conjecture out of Eq. (4.37)-(4.38) and see whether Eq. (4.39) still beats the table-top bound.","tokens_in":60125,"tokens_out":5279,"duration_ms":80409,"concrete_test":"Recompute the evaporation timescale Eq. (4.38) with the conjectured multiplicity N ~ l^2/G replaced by the perturbative RS 1-brane result (i.e. drop the large-N CFT assumption of [60] and use only the zero-mode plus the calculated KK tower of Eq. 2.19). Then re-derive the X-ray-binary bound Eq. (4.39). If the resulting limit on l is weaker than the table-top bound l < 0.1 mm of Eq. (2.23), the claim that black-hole observations improve on table-top tests by an order of magnitude is conjecture-dependent, and the 'testable implications' framing of abstract:s6 rests on null sub-millimetre gravity bounds alone. If the bound survives at l ~ 10^-2 mm without the conjecture, the concern does not land.","verdict_should_be":"UNCHANGED","load_bearing_attack":"The review's central claim (abstract:s6) is that RS brane-worlds give corrections to general relativity with 'interesting testable implications'. The computability half of that claim is secure: Eq. (2.22)/(2.23) follow from the junction condition Eq. (2.20) and the RS zero-mode normalization Eq. (2.21); Eq. (5.11) follows from the first integral Eq. (5.9) evaluated with Eq. (5.8); both are standard, published, and re-derived here in a consistent notation. The testability half is where the argument is least secure, and the review's own text supplies the evidence. Eq. (2.24) states lambda > (1 TeV)^4, M5 > 10^5 TeV, and the sentence immediately following says 'there are no observable collider, i.e. O(TeV), signatures for the RS 1-brane model.' That removes the channel most readers would hear in 'testable'. What remains is: (i) null sub-millimetre gravity bounds, l < 0.1 mm (Eq. 2.23); (ii) cosmological null bounds, rho_E/rho_rad < 0.05 (Eq. 5.14) and lambda > (1 MeV)^4 (Eq. 5.15); and (iii) the black-hole evaporation limit l < 10^-2 mm (Eq. 4.39), which the review presents as 'an order of magnitude improvement on the table-top limit'. But (iii) is derived from Eq. (4.37)-(4.38), which follow from the large-N CFT multiplicity N ~ l^2/G, and the review introduces that whole chain with 'According to a conjecture [60]'. So the single most stringent number in the paper is conjecture-dependent, while the conjecture-independent numbers are all exclusions rather than positive predictions. This is not an error and the review is candid about it at each step; the concern is that the abstract's framing is carried by the weakest of the three supports. The reader's pick (the regulator brane of Sec. VIII.A) is a real modelling device, but it is explicitly acknowledged in the text ('only be true for a limited time', Eq. 8.23-8.24), so it is a stated limitation rather than a hidden load-bearing assumption.","agreement_with_reader":"partial"},"referee_report":{"model":"selfhosted/deepseek-v4.1-flash","summary":"This review surveys warped five-dimensional brane-world models, principally the Randall-Sundrum RS1 and RS2 constructions and their generalizations. It develops the covariant Gauss-Codazzi projection of the 5D Einstein equations onto the brane (Sec. III), obtaining the induced field equations with the quadratic energy-momentum correction S_mu_nu (Eq. 3.23) and the projected bulk Weyl term E_mu_nu (Eq. 3.12), and it derives the modified Friedmann equation (Eq. 5.11) from the Gauss equation (Eq. 3.91). It then treats gravitational collapse and black holes (Sec. IV), including the Oppenheimer-Snyder no-go argument for a static exterior (Sec. IV.E), brane cosmology and inflation (Sec. V), cosmological perturbations (Sec. VI), gravitational waves (Sec. VII), and CMB anisotropies (Sec. VIII). The central claim is that these models give a computable deformation of general relativity with testable signatures: the r^-2 short-distance potential (Eq. 2.22), the high-energy Friedmann equation (Eq. 5.11), and the enhanced gravitational-wave amplitude (Eq. 7.22). The review is explicit that the perturbation system is not closed (no evolution equation for piE_mu_nu), that no realistic localized brane black hole is known, and that the CMB results rest on a low-energy regulator-brane approximation.","tokens_in":60496,"tokens_out":30582,"duration_ms":574237,"significance":"The review is a substantial and well-organized synthesis of a large and technical literature, and it will serve as a standard reference. Credit is due for the traceability of the derivations: the junction condition (Eq. 3.19), the projection (Eq. 3.20), the Friedmann equation (Eq. 5.11) from the Gauss equation (Eq. 3.91), and the Oppenheimer-Snyder no-go argument (Sec. IV.E) can all be followed from stated assumptions without appeal to unstated results. The paper is also candid about what is not known, listing the missing piE_mu_nu equation, the absence of a realistic brane black hole, and the model dependence of the CMB results. These are strengths, not weaknesses, of a review.","major_comments":[{"comment":"The abstract advertises 'interesting testable implications', but the paper's own Eq. (2.24) and the sentence immediately following it state that there are no observable collider signatures for the RS 1-brane model, and the single most stringent quoted bound, l < 10^-2 mm in Eq. (4.39), is derived from the AdS/CFT conjecture, as the text itself says ('According to a conjecture [60]'). The conjecture-independent numbers (Eqs. 2.23, 5.14, 5.15) are null-result exclusions rather than positive predictions. The paper acknowledges the conjecture dependence in the body, so the issue is that the abstract does not signal it; a qualifying clause in the abstract would make the claim proportionate.","section":"Abstract (abstract:s6) and Sec. II","authors_acknowledge":null,"authors_acknowledge_p":null},{"comment":"The CMB power spectrum shown in Fig. 12 is computed within the low-energy approximation, which requires a second 'regulator' brane and the background assumptions rhoE = 0 = d-bar-dot (Eq. 8.23), with Eq. (8.24) forcing fine-tuned negative energy density on the regulator. The text acknowledges that 'it is not clear to what extent these features are general brane-world features ... and to what extent they are consequences of the simple assumptions', but the figure caption and the surrounding discussion do not make the model dependence prominent. Since Fig. 12 is the review's principal CMB prediction, the caption should state the assumptions under which it was obtained.","section":"Sec. VIII.A and Fig. 12","authors_acknowledge":null,"authors_acknowledge_p":null}],"minor_comments":[{"comment":"The KK mass is written m_n = nL, but the Fourier mode in Eq. (1.8) is e^{iny/L}, which gives m_n = n/L; the text itself says the tower is L^-1, 2L^-1, ..., confirming the intended result. Please correct.","section":"Eq. (1.10)","authors_acknowledge":null,"authors_acknowledge_p":null},{"comment":"There is a stray ', .' after the equation; please remove.","section":"Eq. (3.22)","authors_acknowledge":null,"authors_acknowledge_p":null},{"comment":"The text states Q = -2M from matching Eq. (4.17) to Eq. (2.22). Writing Phi = (F-1)/2 = -GM/r + G l Q/r^2 and comparing the r^-2 terms with Eq. (2.22) appears to give Q = -M (up to the sign convention for V). Please check the factor of 2.","section":"Eq. (4.20)","authors_acknowledge":null,"authors_acknowledge_p":null},{"comment":"Eq. (5.35): the first term 2 pi M_p^2 (phi_i^2 - phi_f^2) is dimensionally inconsistent; from Eq. (5.29) it should be (2 pi / M_p^2)(phi_i^2 - phi_f^2). The second term also appears to differ by a factor of 8 pi from the value obtained using Eqs. (2.9) and (5.29) with kappa5^2 = 8 pi / M5^3 (8 pi^3 m^2 / (3 M5^6) rather than pi^2 m^2 / (3 M5^6)); the same factor appears in Eq. (5.30). Please verify both coefficients.","section":"Eqs. (5.30) and (5.35)","authors_acknowledge":null,"authors_acknowledge_p":null},{"comment":"The brane gravito-electric field E_mu_nu is denoted by the same symbol as the projected bulk Weyl term E_mu_nu of Eq. (3.12). The text notes the clash ('where E_mu_nu is not to be confused with E_mu_nu'), but a distinguishing notation (e.g., a script or calligraphic E for one of them) would help the reader throughout Secs. III-VI.","section":"Sec. III.E, Eq. (3.77)","authors_acknowledge":null,"authors_acknowledge_p":null},{"comment":"Typos: 'the the' in Sec. I.C ('the effective 4D modes of the the 5D graviton'); 'Binachi' for 'Bianchi' in Sec. III.E; 'Raychauhuri' for 'Raychaudhuri' in Sec. V.","section":"Secs. I.C, III.E, V","authors_acknowledge":null,"authors_acknowledge_p":null},{"comment":"The captions should state the parameter values and the range of scales plotted, and should identify which curve corresponds to the general-relativity limit, so that the reader can judge the size of the brane-world effect without consulting the cited papers.","section":"Figs. 12 and 13","authors_acknowledge":null,"authors_acknowledge_p":null}],"recommendation":"minor_revision","confidential_remarks":"The manuscript is a review, so its contribution is synthesis rather than new results; that is appropriate for the genre. The citation pattern is heavily weighted toward the author's own work (refs. 14, 35, 38, 82, 109, 112), which is understandable for a review by a leading contributor but worth noting for the editor's awareness. The paper is otherwise well suited to a broad relativity/gravitation audience."},"author_rebuttal":null,"desk_editor":{"model":"selfhosted/deepseek-v4.1-flash","letter":"This is the paper you hand a new student who wants the Randall-Sundrum formalism in one place. It is a review, it says so, and it does the job well. Nothing in it is new physics, but the assembly is genuinely useful and the derivations are traceable rather than gestured at. The Gauss-Codazzi projection in Sec. III is clean: Eq. (3.19) to Eq. (3.20) to the correction terms S_mu_nu and E_mu_nu is the clearest short version of Shiromizu-Maeda-Sasaki I know. The Oppenheimer-Snyder no-go in Sec. IV.E is a real, self-contained proof — a collapsing dust cloud on the brane cannot have a static exterior — and it is the kind of result a review earns its keep by including. The open-problems section at the end is candid about what is not solved, which is more than most reviews of this era manage. On the soft spots: the stress-test is right that abstract:s6's 'testable implications' is doing more work than the body supports. Eq. (2.24) says outright there are no O(TeV) collider signatures for RS 1-brane, and the sharpest quoted number, Eq. (4.39), comes from the AdS/CFT evaporation chain of Eqs. (4.37)-(4.38), which the text introduces with 'According to a conjecture.' The conjecture-independent bounds are all exclusions. That is a framing issue, not an error — the review is candid at each step, and a reader who follows the text will not be misled. The regulator brane in Sec. VIII.A is a real modelling device, but the text flags it ('only be true for a limited time'), so it is a stated limitation, not a hidden one. I would not send this out for deep technical vetting; I would send it out to check that the quoted results match their sources and that the citation net is complete, which for a review is the actual job. Worth citing, worth keeping on the shelf.","headline":"The standard reference for RS brane-world gravity, and it holds up — the only soft spot is that the abstract's 'testable implications' is carried by the conjecture-dependent black-hole bound, not by the solid background results.","tokens_in":61296,"tokens_out":1022,"would_cite":true,"duration_ms":18532,"reading_group":"maybe","serious_thinker":"yes","would_accept_peer_review":true},"pith_extraction":{"msc":[],"pacs":["04.50.+h","98.80.Cq","11.25.Mj"],"model":"selfhosted/deepseek-v4.1-flash","headline":"If our visible universe is a three-dimensional surface inside a five-dimensional bulk, then gravity on that surface is a computable deformation of general relativity, with a definite list of corrections that astronomy can test.","keywords":["brane-world gravity","Randall-Sundrum models","warped extra dimensions","modified Friedmann equation","bulk Weyl tensor","Kaluza-Klein modes","brane black holes","cosmological perturbations"],"falsifier":"Sub-millimetre torsion-balance tests of the inverse-square law: the review's own Eq. (2.23) predicts $V(r) approx (GM/r)(1 + 2ell^2/3r^2)$, so a measured deviation from $1/r$ at some scale would fix the curvature radius $ell$, while continued null results below $0.1$ mm push $ell$ down and, through black-hole X-ray binary lifetimes, below $10^{-2}$ mm, squeezing the one-brane model out of its interesting range.","tokens_in":61406,"feed_emoji":"🌌","tokens_out":5194,"duration_ms":81669,"temperature":0.7,"pith_summary":"Maartens sets out to show that if the observable universe is a 1+3-dimensional surface — a 'brane' — embedded in a five-dimensional bulk with a negative cosmological constant, then gravity on the brane is not Einstein's theory but a calculable deformation of it. The deformation has exactly two new ingredients: a term quadratic in the matter energy-momentum tensor, which dominates once the density exceeds the brane tension, and a projected piece of the five-dimensional Weyl tensor, which carries the effect of bulk gravitational waves and black holes down onto the brane. Everything else follows from projecting the five-dimensional Einstein equations onto the surface with the Gauss-Codazzi equations. The payoff is a list of concrete consequences: Newton's potential turns from $1/r$ into $1/r^2$ below the anti-de Sitter curvature scale $ell$, the Friedmann equation gains an $ ho^2/2lambda$ term and a dark-radiation term $m/a^4$, and gravitational waves from inflation are amplified. The review's purpose is to make those consequences sharp enough that data can confirm or exclude the picture.","feed_headline":"Gravity may leak into a fifth dimension, and the leak is calculable","feed_subtitle":"Warped brane models correct Einstein's equations in specific, testable ways.","key_machinery":"The machinery is the covariant projection of Shiromizu, Maeda and Sasaki: the Gauss and Codazzi equations relate the four-dimensional curvature of the brane to the projected five-dimensional curvature plus extrinsic-curvature terms, and the Israel-Darmois junction conditions fix the extrinsic curvature at the $mathbb{Z}_2$-symmetric brane in terms of the brane tension and its energy-momentum. Substituting one into the other produces the effective field equations, and the contracted Bianchi identity on the brane becomes a propagation law for $E_{mu u}$ sourced by gradients of $S_{mu u}$. This is what makes the review more than a catalogue of solutions: it isolates exactly which piece of five-dimensional physics a brane-bound observer can reconstruct and which piece is irreducibly out of reach.","core_discovery":"The central claim is that the Randall-Sundrum warped brane-world is not a geometric curiosity but a working effective theory of gravity, with a closed set of equations on the brane and a definite list of corrections to general relativity. Projecting the five-dimensional Einstein equations along the brane gives $G_{mu u} = -Lambda g_{mu u} + kappa^2 T_{mu u} + 6kappa^2lambda^{-1} S_{mu u} - E_{mu u}$, where $S_{mu u}$ is quadratic in $T_{mu u}$ and $E_{mu u}$ is the electric part of the bulk Weyl tensor. The first correction is local and dominates at $ ho gg lambda$; the second is nonlocal, carries the five polarizations of the five-dimensional graviton, and cannot be computed from brane data alone. From this template the review derives the modified Newtonian potential, the modified Friedmann and Raychaudhuri equations, altered shear and vorticity evolution, a tidal-charge black hole metric, and a demonstration that Oppenheimer-Snyder collapse on the brane cannot have a static exterior. The honest core of the claim is that brane-world gravity is predictive where the bulk is simple and silent where it is not: the missing equation for the Weyl anisotropic stress $pi^E_{mu u}$ is what prevents a fully closed four-dimensional treatment of perturbations.","pith_inferences":["The admission that $E_{mu u}$ cannot be reconstructed from brane data is structural rather than technical: a brane-bound observer is always inverting boundary data for a bulk field, the same inversion problem that appears in holographic reconstruction generally, which suggests the review's 'missing equation' is a feature of any such setup rather than a gap specific to this model.","Because the quadratic correction stiffens the effective equation of state to $w_{\\rm tot} \\approx 2w+1$, a thermalized early universe above $lambda$ would have behaved like a $w = 5/3$ fluid; the resulting gravitational-wave background would carry a blue tilt that a future detector could in principle separate from standard inflationary signals.","The tidal-charge solution forces $Q = -2M$ in the small-$r$ limit, making the near-horizon geometry more attractive than Schwarzschild's, which would raise the innermost stable circular orbit frequency and could be checked against X-ray timing if a sufficiently small black hole were found.","The absence of a normalizable Kaluza-Klein vector zero mode, together with the mass gap $Delta m = 3H_0/2$ on a de Sitter brane, means the lightest bulk gravitational degrees of freedom are inaccessible to any sub-Hubble experiment, which is a large part of why an infinite extra dimension survives laboratory constraints."],"forward_implications":["Newton's law acquires a $1/r^2$ short-distance behaviour below the curvature scale $ell$, so table-top experiments bound $ell lesssim 0.1$ mm and hence the brane tension $lambda > (1\\ \\mathrm{TeV})^4$ and the fundamental scale $M_5 > 10^5$ TeV.","The Friedmann equation becomes $H^2 = \\frac{kappa^2}{3} ho(1+ ho/2lambda) + m/a^4 - K/a^2$, so the very early universe expands as $a \\propto t^{1/3(w+1)}$ instead of $t^{2/3(w+1)}$, and nucleosynthesis caps dark radiation at roughly 5 percent of the radiation density.","High-energy Hubble damping lets steep potentials inflate, so slow-roll succeeds on the brane where it would fail in general relativity, while the tensor amplitude is enhanced by a factor $F^2 \\approx 3H_0/2mu$.","Oppenheimer-Snyder collapse on the brane cannot have a static exterior, so astrophysical black holes may carry Kaluza-Klein hair; under the AdS/CFT conjecture the same physics shortens evaporation to $(M/M_\\odot)^3 (1\\ \\mathrm{mm}/ell)^2$ years.","Bianchi universes isotropize at high energy because the $ ho^2$ term outruns the shear term $Sigma^2/a^6$."],"supporting_citations":[{"why":"Supplies the single-brane Randall-Sundrum model whose warped AdS$_5$ geometry and localized zero mode the whole review is built on.","marker":"[10]"},{"why":"Provides the Shiromizu-Maeda-Sasaki covariant projection that produces the effective brane field equations and the $E_{mu u}$ term.","marker":"[27]"},{"why":"Derives the modified Friedmann equation with the $ ho^2/lambda$ term and the dark-radiation contribution used throughout the cosmology sections.","marker":"[24]"},{"why":"Supplies the 1+3-covariant brane-observer formalism and the irreducible decomposition of $S_{mu u}$ and $E_{mu u}$ into effective fluid quantities.","marker":"[35]"},{"why":"Gives the tidal-charge black hole solution $F = 1 - 2GM/r + 2Gell Q/r^2$ and the identification $Q = -2M$, the review's main worked black hole example.","marker":"[37]"},{"why":"Provides the Oppenheimer-Snyder collapse analysis showing that a static exterior is incompatible with the brane field equations.","marker":"[45]"},{"why":"Supplies the large-scale curvature perturbation treatment, the dark-radiation entropy mode, and the brane corrections to the Sachs-Wolfe effect.","marker":"[68]"},{"why":"Introduces the gradient-expansion low-energy approximation with a regulator brane that makes the CMB perturbation equations solvable.","marker":"[103]"},{"why":"Supplies the AdS/CFT conjecture for strongly gravitating branes and the enhanced Hawking evaporation timescale used to bound $ell$ from black hole X-ray binaries.","marker":"[60]"}],"fun_headline_variants":["Warped brane gravity corrects Einstein, but the Weyl term stays open","Brane-world gravity predicts a leaky dimension and one missing equation","Randall-Sundrum gravity works where the bulk is simple and stalls where it is not","Brane corrections to Einstein are testable, but perturbations lack closure"],"cache_read_input_tokens":0,"weakest_assumption_plain":"The construction assumes the brane tension is fine-tuned against the negative bulk cosmological constant so that the brane carries zero effective cosmological constant, and the quantitative perturbation and CMB results additionally require a second 'regulator' brane whose backreaction on the visible brane is assumed negligible over the timescales of interest.","fun_headline_variants_meta":{"raw":{"variants":["Warped brane gravity corrects Einstein, but the Weyl term stays open","Brane-world gravity predicts a leaky dimension and one missing equation","Randall-Sundrum gravity works where the bulk is simple and stalls where it is not","Brane corrections to Einstein are testable, but perturbations lack closure"]},"model":"selfhosted/deepseek-v4.1-flash","effort":"low","attempts":1,"cost_usd":0.0,"raw_usage":{"total_tokens":1518,"prompt_tokens":1094,"completion_tokens":424,"prompt_tokens_details":null,"completion_tokens_details":{"reasoning_tokens":351}},"tokens_in":1094,"tokens_out":424,"duration_ms":9027,"image_pages":[],"temperature":1.0,"reasoning_budget":50,"reasoning_tokens":351,"transport_provider":"selfhosted","cache_read_input_tokens":0,"cache_creation_input_tokens":0},"cache_creation_input_tokens":0},"created_at":"2026-10-29T16:57:26.085957+00:00","model_set":{"reader":"selfhosted/deepseek-v4.1-flash"},"falsifier":"Sub-millimetre torsion-balance tests of the inverse-square law: the review's own Eq. (2.23) predicts $V(r) approx (GM/r)(1 + 2ell^2/3r^2)$, so a measured deviation from $1/r$ at some scale would fix the curvature radius $ell$, while continued null results below $0.1$ mm push $ell$ down and, through black-hole X-ray binary lifetimes, below $10^{-2}$ mm, squeezing the one-brane model out of its interesting range.","supporting_citations":[{"cited_title":"Gravitational collapse on the brane: a no-go theorem","cited_arxiv_id":"gr-qc/0108013","evidence_quote":"Provides the Oppenheimer-Snyder collapse analysis showing that a static exterior is incompatible with the brane field equations."},{"cited_title":"Large-scale cosmological perturbations on the brane","cited_arxiv_id":"hep-th/0012044","evidence_quote":"Supplies the large-scale curvature perturbation treatment, the dark-radiation entropy mode, and the brane corrections to the Sachs-Wolfe effect."},{"cited_title":"Radion and Holographic Brane Gravity","cited_arxiv_id":"hep-th/0207029","evidence_quote":"Introduces the gradient-expansion low-energy approximation with a regulator brane that makes the CMB perturbation equations solvable."},{"cited_title":"Classical black hole evaporation in Randall-Sundrum infinite braneworld","cited_arxiv_id":"gr-qc/0203082","evidence_quote":"Supplies the AdS/CFT conjecture for strongly gravitating branes and the enhanced Hawking evaporation timescale used to bound $ell$ from black hole X-ray binaries."}],"review_version":1}