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Lovelock gravity, black holes and holography
High Energy Physics - Theory · Submitted 27 Sep 2015
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim This thesis is divided in two separate parts, the first concerned with gravitational aspects of Lovelock theories, the second with some of their holographic applications.
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The abstract, sentence by sentence
This thesis is divided in two separate parts, the first concerned with gravitational aspects of Lovelock theories, the second with some of their holographic applications.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | This thesis is divided in two separate parts, the first concerned with gravitational aspects of Lovelock theories, the second with some of their holographic applications. | contribution 0.71 | 0.38 | 0.05 | asserted 0.99 |
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The paper
Original abstract
This thesis is divided in two separate parts, the first concerned with gravitational aspects of Lovelock theories, the second with some of their holographic applications.
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References
How the literature uses it
14 arXiv papers cite this in 35 sentences
Papers citing it · 27 sentences without a confident label
Compares with it 2 papers
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Interestingly enough, the cosmological evolution of this class of theories is entirely dictated by the function $F(H)$ [This is reminiscent of what happens for black holes in Lovelock gravity [ref] ; indeed, Lovelock cosmologies display a similar structure [ref] ], which is in turn controlled by $L^-1$ and the $λ_n$.
Geometric Inflation · Introduction · 0.81
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From this point of view, the result is similar to vacuum solutions of Lovelock Gravity, for example see [ref] .
Static spherically symmetric black holes in de Rham-Gabadadze-Tolley massive gravity in arbitrary dimensions · Summary and discussion · 0.93
Cites it as background 4 papers
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It was found so far that a study of gravitational AdS to dS phase transition mediated by thermalon has been done in various circumstances [ref] .
Generalized gravitational phase transition in novel 4D Einstein-Gauss-Bonnet gravity · Introduction · 0.92
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Perhaps the nicest example is that of Lovelock gravity, where the slowly rotating solution for a (single) rotation parameter has been known for some time [ref] , and the equations of motion can be solved exactly.[Attempts to analytically push beyond the slowly rotating regime have generally been met with failure, except in certain special cases [ref] , though numerical studies suggest the full rotating solutions exist [ref] .] Beyond Lovelock gravity, other interesting higher-curvature theories have been the focus of some study – examples appear in Einstein Gauss–Bonnet gravity in $d=4$ and $d=5$ [ref] .
Generalized Lense--Thirring metrics: higher-curvature corrections and solutions with matter · Introduction · 0.84
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The general slowly rotating case was studied in [ref] .
Slowly rotating black holes in Einsteinian cubic gravity · Lovelock gravities · 0.83
What it cites · 187 sentences without a confident label
Contests 9 papers
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In summary, we have just shown that these solutions are unstable, a strong indication that, contrary to the claim of many papers in the literature [ref] , they cannot be the end point of gravitational collapse under generic circumstances, neither be reached by any physical process.
Effects of Lovelock terms on the final fate of gravitational collapse: analysis in dimensionally continued gravity · The cosmic censorship hypothesis and stability · contest 0.87
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In summary, we have just shown that these solutions are unstable, a strong indication that, contrary to the claim of many papers in the literature [ref] , they cannot be the end point of gravitational collapse under generic circumstances, neither be reached by any physical process.
Final fate of spherically symmetric gravitational collapse of a dust cloud in Einstein-Gauss-Bonnet gravity · The cosmic censorship hypothesis and stability · contest 0.87
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In summary, we have just shown that these solutions are unstable, a strong indication that, contrary to the claim of many papers in the literature [ref] , they cannot be the end point of gravitational collapse under generic circumstances, neither be reached by any physical process.
Spherical collapse of inhomogeneous dust cloud in the Lovelock theory · The cosmic censorship hypothesis and stability · contest 0.87
Builds on 1 paper
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The previous analysis can be performed for other extremal states that appeared in the classification of Lovelock black hole solutions [ref] .
A Lovelock black hole bestiary · Stability of new uncharged extremal black holes · 0.86
Uses the method or tool of 4 papers
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We will show that (i) and (ii) can be understood rather easily from a direct analysis of the spectrum of spherically symmetric static solutions, developed in [ref] .
A Lovelock black hole bestiary · Discussion · 0.87
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The equations of motion for these dynamical degrees of freedom, $ϕ_h(r)$, the subindex $h=0, 1, 2$ indicating the corresponding helicity, can be recast as Schrödinger type equations [ref] , that in the large momentum limit they reduce to a very simple form[In the notation of [ref] , we must identify $γ_i ≡γ= q^2 L^2$, and our potentials are related to theirs, $U_i →- V_i/γ Λ$, as $γ→∞$.]
Master Equations for Gravitational Perturbations of Static Lovelock Black Holes in Higher Dimensions · Graviton potentials · 0.87
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The matching condition can be obtained from an action principle constructed by means of two auxiliary quantities [ref]
Singular sources in gravity and homotopy in the space of connections · Junction conditions · 0.92
Compares with 6 papers
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For $μ=0$, these results match those for LGB gravity derived in [ref] .
Holographic GB gravity in arbitrary dimensions · Black hole instabilities · 0.99
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This actually coincides with the entropy obtained by other means, like the Wald entropy [ref] or integrating the first law [ref] .
A Lovelock black hole bestiary · Lovelock black holes and thermodynamics · 0.91
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This actually coincides with the entropy obtained by other means, like the Wald entropy [ref] or integrating the first law [ref] .
Entropy of Lovelock Black Holes · Lovelock black holes and thermodynamics · 0.91
Cites as support 13 papers
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They are pretty generic and their existence challenges the cosmic censorship hypothesis [ref] .
A Lovelock black hole bestiary · Discussion · 0.99
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The absence of instabilities in the shear channel is then linked to the condition needed to ensure the validity of the linear analysis [ref] , since the $B_i(r)$ functions are proportional to some power of $Υ'[g] c_1^2(x)$, and $Υ'[g]>0$ in order to guarantee that the branch of interest is free from BD-instabilities.
Stability of Lovelock Black Holes under Tensor Perturbations · Black hole instabilities · 0.97
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Therefore, small black holes are stable in odd dimension for the highest order Lovelock gravity (in particular, we need $c_K>0$ for type (a) EH or dS branches to exist), whereas they are unstable in all other cases [ref] .
A Note on Thermodynamics of Black Holes in Lovelock Gravity · Black holes in the EH branch · 0.96
Cites as background 40 papers
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Stability analyses under all type of perturbations have been performed a few years ago, though, in the case of LGB gravity [ref] .
Thermodynamic and gravitational instability on hyperbolic spaces · Discussion · 0.86
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Stability analyses under all type of perturbations have been performed a few years ago, though, in the case of LGB gravity [ref] .
Linear stability of Einstein-Gauss-Bonnet static spacetimes. Part I: tensor perturbations · Discussion · 0.86
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Stability analyses under all type of perturbations have been performed a few years ago, though, in the case of LGB gravity [ref] .
(In)stability of D-dimensional black holes in Gauss-Bonnet theory · Discussion · 0.86
Discussion
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