Partial Reduction and Cosmology at Defect Brane

Wang, Zhi; Xu, Zekun; Zhou, Shuyan; Zhou, Yang

doi:10.48550/arxiv.2112.13782

Cited by 4 publications

(6 citation statements)

References 39 publications

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“…We are interested in time-symmetric solutions, so the derivative of ⃗ ϕ should vanish at the midpoint of the wormhole. Moving away from the time-symmetric point, a E increases 46 , so the evolution of ⃗ ϕ going away from this point will correspond to ordinary damped motion in the inverted potential.…”

Section: Evolution With a Scalar Fieldmentioning

confidence: 99%

“…Relation to earlier work. This paper represents the present stage of evolution of a class of cosmological models originally proposed in [41], and further developed in [33,42,44,45] (see also [46,47]). In the original models, the 4D CFT was assumed to be holographic, and the cosmological physics was on an ETW brane behind the horizon of a black hole 21 .…”

Section: Introductionmentioning

confidence: 99%

“…Even if we start with the strict 3D CFT, such perturbations might be induced by the coupling to other 3D CFT via the 4D CFT 45. It will be convenient to absorb the cosmological constant into the definition of the scalar potential; we will assume this throughout this section 46. The second time derivative of the scale factor is negative at the time-reversal symmetric point of the cosmology, so the second τ derivative is positive at the midpoint of the wormhole.…”

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confidence: 99%

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Cosmology from the vacuum

Antonini,

Simidzija,

Swingle

et al. 2024

Class. Quantum Grav.

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We argue that standard tools of holography can be used to describe fully nonperturbative microscopic models of cosmology in which a period of accelerated expansion may result from the positive potential energy of time-dependent scalar ﬁelds evolving towards a region with negative potential. In these models, the fundamental cosmological constant is negative, and the universe eventually recollapses in a time-reversal symmetric way. The microscopic description naturally selects a special state for the cosmology. In this framework, physics in the cosmological spacetime is dual to the vacuum physics in a static planar asymptotically AdS Lorentzian wormhole spacetime, in the sense that the background spacetimes and observables are related by analytic continuation. The dual spacetime is weakly curved everywhere, so any cosmological observables can be computed in the dual picture via eﬀective ﬁeld theory without detailed knowledge of the UV completion or the physics near the big bang. In particular, while inﬂation may explain the origin of perturbations in the cosmology picture, the perturbations can be deduced from the dual picture without any knowledge of the inﬂationary potential.

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Section: Evolution With a Scalar Fieldmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

mentioning

confidence: 99%

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Cosmology from the vacuum

Antonini,

Simidzija,

Swingle

et al. 2024

Class. Quantum Grav.

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“…Although the island formula is derived from Jackiw-Teitelboim (JT) black holes, its application is beyond the context of Anti-de Sitter (AdS) spacetime. It can be applied to other spacetime backgrounds, such as the other AdS 2 black hole [10][11][12][13][14][15][16][17], the two-dimensional (2D) dilaton gravity [18][19][20][21][22][23][24], the higher-dimensional spacetime [25][26][27][28][29][30][31][32][33][34], the cosmology [35][36][37][38][39][40][41][42], the boundary conformal field theory (BCFT) [43][44][45][46][47][48][49]. Interestingly, there are also some related works for the Sachdev-Ye-Kitaev (SYK) model [50][51][52][53][54][55].…”

Section: Introductionmentioning

confidence: 99%

Page curve and phase transition in deformed Jackiw–Teitelboim gravity

et al. 2023

Eur. Phys. J. C

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We consider the entanglement island in a deformed Jackiw–Teitelboim black hole in the presence of the phase transition. This black hole has the van der Waals–Maxwell-like phase structure as it is coupled with a Maxwell field. We study the behavior of the Page curve of this black hole by using the island paradigm. In the fixed charge ensemble, we discuss different situations with different charges that influence the system’s phase structure. There is only a Hawking–Page phase transition in the absence of charges, which leads to an unstable small black hole. Hence, the related Page curve does not exist. However, a van der Waals–Maxwell-like phase transition occurs in the presence of charges. This yields three black hole solutions. The Page curve of the middle size black hole does not exist. For the extremal black hole, the Page time approaches zero in the phase transition situation but becomes divergent without the phase transition. In a word, we study the Page curve and the island paradigm for different black hole phases and in different phase transition situations.

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“…Recently, a great breakthrough towards the resolution of the black hole information paradox has been made [1,2], where double holography and island play an important role. See [3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30] for some recent works. As a generalization of the AdS/CFT correspondence [31,32,33], double holography has a close relation to brane world theory [34,35,36] and AdS/BCFT [37,38,39,40,41,42,43].…”

Section: Introductionmentioning

confidence: 99%

AdS/BCFT and Island for curvature-squared gravity

Hu¹,

Li²,

Miao³

et al. 2022

Preprint

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In this paper, we investigate AdS/BCFT for curvature-squared gravity. To warm up, we start with Gauss-Bonnet gravity. We derive the one point function of stress tensor and show that the central charge related to the norm of displacement operator is positive for the couplings obeying causality constraints. Furthermore, by imposing the null energy condition on the end-of-the-world brane, we prove the holographic g-theorem for Gauss-Bonnet gravity. This corrects a wrong point of view in the literature, which claims that the holographic g-theorem is violated for Gauss-Bonnet gravity. We also study AdS/BCFT for general curvature-squared gravity. We find that it is too restrictive for the shape of the brane and the dual BCFT is trivial if one imposes Neumann boundary conditions for all of the gravitational modes. Instead, we propose to impose Dirichlet boundary condition for the massive graviton, while imposing Neumann boundary condition for the massless graviton. In this way, we obtain non-trivial shape dependence of stress tensor and well-defined central charges. In particular, the holographic g-theorem is satisfied by general curvature-squared gravity. Finally, we discuss the island and show that the Page curve can be recovered for Gauss-Bonnet gravity. Interestingly, there are first-order phase transitions for the Page curve within one range of couplings obeying causality constraints. Generalizing the discussions to holographic complexity, we get a new constraint for the Gauss-Bonnet coupling, which is stronger than the causality constraint.

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Partial Reduction and Cosmology at Defect Brane

Cited by 4 publications

References 39 publications

Cosmology from the vacuum

Cosmology from the vacuum

Page curve and phase transition in deformed Jackiw–Teitelboim gravity

AdS/BCFT and Island for curvature-squared gravity

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