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We present a class of anisotropic brane configurations which shows BKL oscillations near their cosmological singularities. Near horizon limits of these solutions represent Kasner space embedded in AdS background. Dynamical probe branes in…

High Energy Physics - Theory · Physics 2015-06-12 Souvik Banerjee , Samrat Bhowmick , Sudipta Mukherji

Quantum entanglement in 3 spatial dimensions is studied in systems with physical boundaries when an entangling surface intersects the boundary. We show that there are universal logarithmic boundary terms in the entanglement R\'{e}nyi…

High Energy Physics - Theory · Physics 2015-06-15 Dmitri Fursaev

Anisotropic generalization of Randall and Sundrum brane-world model is considered. A new class of exact solutions for brane and bulk geometry is found; it is related to anisotropic Kasner solution. In view of this, the old question of…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Andrei V. Frolov

The quantum extremal island rule allows us to compute the Page curves of Hawking radiation in semi-classical gravity. In this work, we study the connection between these calculations and the thermalisation of chaotic quantum many-body…

High Energy Physics - Theory · Physics 2024-12-20 Hanzhi Jiang , Mike Blake , Anthony P. Thompson

We study the formation of classical singularities in Generalized Brans-Dicke theories that are natural extensions to Brans-Dicke where the kinetic term is modified by a new coupling function $\omega(\varphi)$. We discuss the asymptotic…

General Relativity and Quantum Cosmology · Physics 2019-09-26 G. Brando , F. T. Falciano , L. F. Guimaraes

It has been suggested in recent work that the Page curve of Hawking radiation can be recovered using computations in semi-classical gravity provided one allows for "islands" in the gravity region of quantum systems coupled to gravity. The…

High Energy Physics - Theory · Physics 2020-07-01 Ahmed Almheiri , Raghu Mahajan , Jorge E. Santos

We investigate 3-dimensional globally hyperbolic AdS manifolds containing "particles", i.e., cone singularities of angles less than $2\pi$ along a time-like graph $\Gamma$. To each such space we associate a graph and a finite family of…

Differential Geometry · Mathematics 2013-02-25 Thierry Barbot , Francesco Bonsante , Jean-Marc Schlenker

The holographic prescription for computing entanglement entropy requires that the bulk extremal surface, whose area encodes the amount of entanglement, satisfies a homology constraint. Usually this is stated as the requirement of a…

High Energy Physics - Theory · Physics 2015-06-11 Felix M. Haehl , Thomas Hartman , Donald Marolf , Henry Maxfield , Mukund Rangamani

In the thin wall approximation, we study a class of asymptotically AdS black holes which contain a spherically symmetric vacuum bubble with a different (positive or negative) cosmological constant. Collapsing, expanding, and static bubble…

High Energy Physics - Theory · Physics 2026-03-05 Roberto Auzzi , Stefano Baiguera , Lihan Guo , Giuseppe Nardelli , Nicolò Zenoni

We study the scalar curvature of spacelike hypersurfaces in the family of cosmological models known as generalized Robertson-Walker spacetimes, and give several rigidity results under appropriate mathematical and physical assumptions. On…

General Relativity and Quantum Cosmology · Physics 2016-03-23 Juan A. Aledo , Rafael M. Rubio

We consider holographic entanglement entropy in AdS black hole backgrounds by using the limit of large number of dimensions. By dividing the geometry to two patches (with one patch covering the vicinity of the black hole horizon and another…

High Energy Physics - Theory · Physics 2026-03-27 Parul Jain , Matti Järvinen

If gravity is fundamentally quantum, any two quantum particles must get entangled with each other due to their mutual interaction through gravity. This phenomenon, dubbed gravity-mediated entanglement, has led to recent efforts of detecting…

General Relativity and Quantum Cosmology · Physics 2023-11-10 Suddhasattwa Brahma , Abhinove Nagarajan Seenivasan

Following arXiv:1501.03019 [hep-th], we study de Sitter space and spherical subregions on a constant boundary Euclidean time slice of the future boundary in the Poincare slicing. We show that as in that case, complex extremal surfaces exist…

High Energy Physics - Theory · Physics 2015-12-23 K. Narayan

We consider vacuum spacetimes with a crushing singularity. Under some scale-invariant curvature bounds, we relate the existence of Kasner-like regions to the asymptotics of spatial volume densities.

Differential Geometry · Mathematics 2021-02-03 John Lott

Global existence results in the past time direction of cosmological models with collisionless matter and a massless scalar field are presented. It is shown that the singularity is crushing and that the Kretschmann scalar diverges uniformly…

General Relativity and Quantum Cosmology · Physics 2009-11-11 David Tegankong , Alan D. Rendall

We have obtained the equation of the extremal hypersurface by considering the Jacobson-Myers functional and computed the entanglement entropy. In this context, we show that the higher derivative corrected extremal surfaces can not penetrate…

High Energy Physics - Theory · Physics 2014-03-19 Shesansu Sekhar Pal

Recently it has been proposed that the Bekenstein-Hawking formula for the entropy of spacetime horizons has a larger significance as the leading contribution to the entanglement entropy of general spacetime regions, in the underlying…

High Energy Physics - Theory · Physics 2014-08-27 Jason Wien

The discovery of universe's late-time acceleration and dark energy has overseen a great deal of research into cosmological singularities and in this brief review, we discuss all the prominent developments in this field for the best part of…

General Relativity and Quantum Cosmology · Physics 2024-08-02 Oem Trivedi

Areas of extremal surfaces anchored to sub-regions on screens in Minkowski space satisfy various entanglement entropy inequalities. In 2+1 dimensions where the arguments are simplest, we demonstrate (a) monogamy of mutual information, (b)…

High Energy Physics - Theory · Physics 2021-12-28 Chethan Krishnan , Vyshnav Mohan

We consider a spacetime singularity at $t = 0$ arising in a Kasner-type metric that solves the gravitational equations modified by quantum effects of a conformal field theory (CFT). The resulting constraints can be solved efficiently when…

High Energy Physics - Theory · Physics 2026-02-13 Sergey N. Solodukhin