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The recently discussed notion of geometric entropy is shown to be related to earlier calculations of thermal effects in Rindler space. The evaluation is extended to de Sitter space and to a two-dimensional black hole.

High Energy Physics - Theory · Physics 2010-04-06 J. S. Dowker

We discuss some general properties of quantum gravity in De Sitter space. It has been argued that the Hilbert space is of finite dimension. This suggests a macroscopic argument that General Relativity cannot be quantized -- unless it is…

High Energy Physics - Theory · Physics 2007-05-23 Edward Witten

It is well known that the area of the de Sitter cosmological horizon is related to the entropy of the bulk spacetime. Recent work has however shown that the horizon encodes more information about the bulk spacetime than just the entropy. In…

High Energy Physics - Theory · Physics 2025-09-16 Willy Fischler , Hare Krishna , Sarah Racz

We propose a new example of entanglement knitting spacetime together, satisfying a series of checks of the corresponding von Neumann and Renyi entropies. The conjectured dual of de Sitter in d+1 dimensions involves two coupled CFT sectors…

High Energy Physics - Theory · Physics 2018-08-01 Xi Dong , Eva Silverstein , Gonzalo Torroba

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

A de Sitter black hole or a black hole spacetime endowed with a positive cosmological constant has two Killing horizons -- a black hole and a cosmological event horizon surrounding it. It is natural to expect that the total…

General Relativity and Quantum Cosmology · Physics 2016-03-08 Sourav Bhattacharya

It has often been suggested (especially by Carlip) that spacetime symmetries in the neighborhood of a black hole horizon may be relevant to a statistical understanding of the Bekenstein-Hawking entropy. A prime candidate for this type of…

General Relativity and Quantum Cosmology · Physics 2009-11-10 A. J. M. Medved

We explore thermodynamic contributions to the three-dimensional de Sitter horizon originating from metric and Chern-Simons gauge field fluctuations. In Euclidean signature these are computed by the partition function of gravity coupled to…

High Energy Physics - Theory · Physics 2022-01-14 Dionysios Anninos , Eleanor Harris

It has been argued that the entropy of de Sitter space corresponds to the entanglement between disconnected regions computable by switching on a replica parameter $q$ modeled by the quotient dS$/\mathbb{Z}_q$. Within this framework, we show…

High Energy Physics - Theory · Physics 2022-09-14 Gabriel Arenas-Henriquez , Felipe Diaz , Per Sundell

Recently Hollands, Wald and Zhang proposed a new formula for the entropy of a dynamical black hole. We lift this construction to the dynamical cosmological event horizon of an asymptotically de Sitter spacetime. By introducing a nontrivial…

General Relativity and Quantum Cosmology · Physics 2025-07-09 Jinan Zhao

These lecture notes provide an overview of different aspects of de Sitter space and their plausible holographic interpretations. We start with a general description of the classical spacetime. We note the existence of a cosmological horizon…

High Energy Physics - Theory · Physics 2023-12-14 Damian A. Galante

A general formalism for understanding the thermodynamics of horizons in spherically symmetric spacetimes is developed. The formalism reproduces known results in the case of black hole spacetimes. But its power lies in being able to handle…

General Relativity and Quantum Cosmology · Physics 2010-11-19 T. Padmanabhan

We investigate a solution of the exactly renormalized Liouville action to foresee the fate of the two-dimensional de Sitter space. We work in the semiclassical region with a large matter central charge $c$. Instead of de Sitter expansion,…

High Energy Physics - Theory · Physics 2019-05-02 Hiroyuki Kitamoto , Yoshihisa Kitazawa

We show that Rindler horizons are entropic screens and gravity is an entropic force in Rindler space by deriving the Verlinde entropy formula from the focusing of light due to a mass close to the horizon. Consequently, gravity is also…

High Energy Physics - Theory · Physics 2011-04-14 Edi Halyo

We analyze spacetimes with horizons and study the thermodynamic aspects of causal horizons, suggesting that the resemblance between gravitational and thermodynamic systems has a deeper quantum mechanical origin. We find that the observer…

General Physics · Physics 2016-10-03 Eric M Howard

The holographic description of the three-dimensional Kerr-de Sitter space with a gravitational Chern-Simons term is studied, in the context of dS/CFT correspondence. The space has only one (cosmological) event horizon and its mass and…

High Energy Physics - Theory · Physics 2008-11-26 Mu-in Park

I provide a general proof of the conjecture that one can attribute an entropy to the area of {\it any} horizon. This is done by constructing a canonical ensemble of a subclass of spacetimes with a fixed value for the temperature…

General Relativity and Quantum Cosmology · Physics 2015-06-25 T. Padmanabhan

We calculate quantum corrections to the entropy of four-dimensional de Sitter space induced by higher-derivative terms in the gravitational action and by one-loop effects. Employing the intertwinement in semiclassical gravity of Euclidean…

High Energy Physics - Theory · Physics 2024-02-12 Nikolay Bobev , Thomas Hertog , Junho Hong , Joel Karlsson , Valentin Reys

This is a status report on a research program aimed at obtaining quantum-gravitational physics inside a cosmological horizon through dS/CFT, i.e. through a holographic description at past/future infinity of de Sitter space. The program aims…

High Energy Physics - Theory · Physics 2018-01-24 Yasha Neiman

The paper deals with the calculation of the gravitational entropy in the context of teleparallel gravity for de Sitter space-time. In such a theory it is possible to define gravitational energy and pressure, thus we use those expressions to…

General Relativity and Quantum Cosmology · Physics 2016-07-20 S. C. Ulhoa , E. P. Spaniol