Many-Brane Extention of the Randall-Sundrum Solution

Hisaki Hatanaka; Kazunori Takenaga; Makoto Sakamoto; Motoi Tachibana

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Many-Brane Extention of the Randall-Sundrum Solution

Hisaki Hatanaka, Makoto Sakamoto, Motoi Tachibana, Kazunori Takenaga

High Energy Physics - Theory · Submitted 13 Sep 1999

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim We extend the solution and construct static and also inflationary solutions to Einstein's equations in five spacetime dimensions, one of which is compactified on $S^1$, with any number of 3-branes whose locations are taken to be arbitrary.

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arXiv IDhep-th/9909076 (version 2)

Pith IDPRL6URXW, Pith's permanent record of this paper and its review

CitationHisaki Hatanaka, Kazunori Takenaga, Makoto Sakamoto, Motoi Tachibana. "Many-Brane Extention of the Randall-Sundrum Solution." arXiv:hep-th/9909076 (1999). https://pith.science/paper/PRL6URXW

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What the abstract itself states, as probabilities: claims first 0.06 · states limitation 0.07 · human participants 0.01 · controlled comparison 0.03 · randomized assignment 0.01 · states quantitative result 0.05 · compares with prior results 0.60 · mentions code or data availability 0.01.

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arXiv listing abstract v2. Results and the main claim are underlined; show every role.

Recently, Randall and Sundrum proposed a static solution to Einstein's equations in five spacetime dimensions with two 3-branes located at the fixed points of $S^1/Z_2$ to solve the hierarchy problem. We extend the solution and construct static and also inflationary solutions to Einstein's equations in five spacetime dimensions, one of which is compactified on $S^1$, with any number of 3-branes whose locations are taken to be arbitrary. We discuss how the hierarchy problem can be explained in our model.

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	Recently, Randall and Sundrum proposed a static solution to Einstein's equations in five spacetime dimensions with two 3-branes located at the fixed points of $S^1/Z_2$ to solve the hierarchy problem.	background 1.00	0.04	0.05	asserted 1.00
s1	We extend the solution and construct static and also inflationary solutions to Einstein's equations in five spacetime dimensions, one of which is compactified on $S^1$, with any number of 3-branes whose locations are taken to be arbitrary.	contribution 1.00	0.96	0.44	asserted 1.00
s2	We discuss how the hierarchy problem can be explained in our model.	contribution 0.58	0.83	0.22	unclear 0.65

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 1.00.

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arXiv listing abstract v2

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full text
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C citations
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The paper

Original abstract

Recently, Randall and Sundrum proposed a static solution to Einstein's equations in five spacetime dimensions with two 3-branes located at the fixed points of $S^1/Z_2$ to solve the hierarchy problem. We extend the solution and construct static and also inflationary solutions to Einstein's equations in five spacetime dimensions, one of which is compactified on $S^1$, with any number of 3-branes whose locations are taken to be arbitrary. We discuss how the hierarchy problem can be explained in our model.

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References

Forward citations

Cited by 6 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

Localised Horizons and Holographic Thermodynamics: Supercooling in the 1/D Expansion
hep-th 2026-08 conditional novelty 7.0 of 10

For a large class of holographic confining gauge theories far from conformality, the maximum supercooling equals half the squared speed of sound at the critical temperature, up to 1/D corrections.
Conformal Freeze-in Dark Matter: 5D Dual and Phase Transition
hep-ph 2025-02 conditional novelty 7.0 of 10

The authors construct a 5D Randall-Sundrum holographic dual of Conformal Freeze-In dark matter, find two branches of boundary CFTs, and show the dark confinement phase transition completes without significant supercoo...
On Tunnelling In Two-Throat Warped Reheating
hep-th 2006-02 conditional novelty 7.0 of 10

The self-consistent decay rate for KK modes transferring energy between two warped throats equals the standard plane-wave tunnelling rate, and the rate can be enhanced by modifying the UV geometry.
Modeling the fifth dimension with scalars and gravity
hep-th 1999-09 conditional novelty 7.0 of 10

A first-order superpotential method generates exact five-dimensional scalar-gravity solutions, stabilizes brane spacing, and shows the graviton is massless with no transverse-traceless tachyons.
Complementary Probes of Warped Extra Dimension: Colliders, Gravitational Waves and Primordial Black Holes from Phase Transitions
hep-ph 2025-02 conditional novelty 6.0 of 10

In Randall-Sundrum warped extra dimension models, the supercooled radion phase transition can form primordial black holes that account for all of dark matter for IR scales 10 TeV to 10^4 TeV, with correlated gravitati...

Show 1 more citing papers

Discrete Symmetries, Weak Coupling Conjecture and Scale Separation in AdS Vacua
hep-th 2020-03 conditional novelty 6.0 of 10

A new swampland conjecture ties the order of a discrete gauge symmetry to the weakness of continuous gauge couplings, and a refined AdS distance conjecture accounts for parametric scale separation in type IIA flux vacua.

How the literature uses it

12 arXiv papers cite this in 15 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 6 sentences without a confident label

Builds on it 1 paper

Here we adapt to the $4$d setup the discussion of [ref] , which studies a Randall-Sundrum construction [ref] with an arbitrary number of branes (domain walls).

Discrete Symmetries, Weak Coupling Conjecture and Scale Separation in AdS Vacua · Junction conditions for $$ vacua · 0.93

Uses its method or tool 1 paper

One technique to solve the nonlinear equations at large backreaction is the superpotential technique introduced in [ref] , which can be used to find the deformed AdS geometry, but this does not work generically for the black brane solution [ref] .

Localised Horizons and Holographic Thermodynamics: Supercooling in the 1/D Expansion · Introduction · 0.82

Cites it as background 7 papers

Warped extra dimension models with multiple branes have been explored in various studies [ref] and the radion stabilization for multiple branes has been established [ref] .

A Natural Model of Spontaneous CP Violation · Introduction · 0.91
In the Randall-Sundrum (RS) braneworld model [ref] and its generations (see Refs. [ref] for examples), the extra dimension can be finite or infinite and its geometry is warped.

Localization and mass spectra of various matter fields on scalar-tensor brane · Introduction · 0.99
The properties of such kinds of scalar VEVs have been studied in Refs. [ref] .[ Point interactions on $S^1$, which are additional boundary points (on $S^1$), have been studied in Refs [ref] .

$CP$ phase from twisted Higgs vacuum expectation value in extra dimension · Introduction · 0.95

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