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We first briefly discuss the relation between black hole thermodynamics and the entropy function formalism. We find that an equation which governs the relationship between Sen's entropy function and black hole entropy, can quickly give…

High Energy Physics - Theory · Physics 2014-11-18 Fu-Wen Shu , Xian-Hui Ge

We show that the entropy of D--dimensional Schwarzschild black holes are given by the entanglement entropy of a boundary of global $AdS_2$ space that lives at asymptotic infinity. We dimensionally reduce General Relativity to two dimensions…

High Energy Physics - Theory · Physics 2018-05-17 Edi Halyo

In this review, we summarize recent findings that show how standard 4-d Einstein gravity coupled to a conformal field theory can become massive in Anti de Sitter Space. Key ingredients in this phenomenon are non-standard ``transparent''…

High Energy Physics - Theory · Physics 2009-11-10 M. Porrati

Recent theoretical progress indicates that spacetime and gravity emerge together from the entanglement structure of an underlying microscopic theory. These ideas are best understood in Anti-de Sitter space, where they rely on the area law…

High Energy Physics - Theory · Physics 2017-07-03 Erik P. Verlinde

On the basis of the state parameter of de Sitter space-time satisfying the first law of thermodynamics,we can derive some effective thermodynamic quantities.When the temperature of the black hole horizon is equal to that of the cosmological…

High Energy Physics - Theory · Physics 2020-03-13 Yubo Ma , Yang Zhang , Lichun Zhang , Liang Wu , Yumei Huang , Yu Pan

The idea that asymptotic de Sitter space can be described by a finite Hilbert Space implies that any quantum measurement has an irreducible innacuracy. We argue that this prevents any measurement from verifying the existence of the Poincare…

High Energy Physics - Theory · Physics 2009-11-07 T. Banks , W. Fischler , S. Paban

Asymptotically anti-de Sitter space-times are considered in a general dimension $d\ge 4$. As one might expect, the boundary conditions at infinity ensure that the asymptotic symmetry group is the anti-de Sitter group (although there is an…

High Energy Physics - Theory · Physics 2010-04-06 Abhay Ashtekar , Saurya Das

We study the wave equation for a minimally coupled massive scalar in D-dimensional de Sitter space. We compute the absorption cross section to investigate its cosmological horizon in the southern diamond. By analogy of the quantum…

High Energy Physics - Theory · Physics 2009-11-10 Y. S. Myung , H. W. Lee

We study the asymptotic symmetries of three-dimensional Warped Anti-de Sitter (WAdS) spaces in three-dimensional New Massive Gravity (NMG). For a specific choice of asymptotic boundary conditions, we find that the algebra of charges is…

High Energy Physics - Theory · Physics 2015-06-30 Laura Donnay , Gaston Giribet

A metric is proposed to explore the noncommutative form of the Anti-de Sitter space due to quantum effects. It has been proved that the non commutativity in AdS space induces a single component gravitoelectric field. The holographic…

High Energy Physics - Theory · Physics 2018-10-09 Davood Momeni , Muhammad Raza , Ratbay Myrzakulov

In three-dimensional de Sitter space classical black holes do not exist, and the Schwarzschild-de Sitter solution instead describes a conical defect with a single cosmological horizon. We argue that the quantum backreaction of conformal…

High Energy Physics - Theory · Physics 2022-11-30 Roberto Emparan , Juan F. Pedraza , Andrew Svesko , Marija Tomašević , Manus R. Visser

We describe connected timelike codim-2 extremal surfaces stretching between the future and the past boundaries in the static patch coordinatization of de Sitter space. These are analogous to rotated versions of certain surfaces in the $AdS$…

High Energy Physics - Theory · Physics 2020-01-08 K. Narayan

We consider degrees of freedom for a quantum de Sitter spacetime. The problem is studied from both a Lorentzian and a Euclidean perspective. From a Lorentzian perspective, we compute dynamical properties of the static patch de Sitter…

High Energy Physics - Theory · Physics 2023-01-31 Dionysios Anninos , Damián A. Galante , Beatrix Mühlmann

The anti-de Sitter C-metric (AdS C-metric) is characterized by a quite interesting new feature when compared with the C-metric in flat or de Sitter backgrounds. Indeed, contrarily to what happens in these two last exact solutions, the AdS…

High Energy Physics - Theory · Physics 2009-11-07 Oscar J. C. Dias , Jose' P. S. Lemos

In this paper, based on an intrinsic definition of asymptotically AdS space-times, we show that the standard anti-de Sitter space-time is the unique strictly stationary asymptotically AdS solution to the vacuum Einstein equations with…

Differential Geometry · Mathematics 2015-06-26 Jie Qing

It has been argued recently that the entropy of black holes might be associated with soft scalar, graviton and photon states at the event horizon, as number of such possible soft states is proportional to the horizon area. However, the…

General Relativity and Quantum Cosmology · Physics 2018-06-22 Dmitriy Podolskiy

The horizon of a static black hole in Anti-deSitter space can be spherical, planar, or hyperbolic. The microscopic dynamics of the first two classes of black holes have been extensively discussed recently within the context of the AdS/CFT…

High Energy Physics - Theory · Physics 2009-10-31 Roberto Emparan

We propose a Euclidean preparation of an asymptotically AdS$_2$ spacetime that contains an inflating dS$_2$ bubble. The setup can be embedded in a four dimensional theory with a Minkowski vacuum and a false vacuum. AdS$_2$ times 2-sphere…

High Energy Physics - Theory · Physics 2020-09-22 Mehrdad Mirbabayi

Using a holographic proposal for the geometric entropy we study its behavior in the geometry of Schwarzschild black holes in global $AdS_p$ for $p=3,4,5$. Holographically, the entropy is determined by a minimal surface. On the gravity side,…

High Energy Physics - Theory · Physics 2015-05-13 Ibrahima Bah , Leopoldo A. Pando Zayas , Cesar A. Terrero-Escalante

It has recently been shown that, in the vicinity of their event horizons, black holes exhibit an infinite-dimensional symmetry. This symmetry captures relevant physical information about the black hole, and in particular about its…

High Energy Physics - Theory · Physics 2019-09-04 Laura Donnay , Gaston Giribet