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In this thesis, we aim to understand the microscopic details and origin of the Cosmological Horizon, produced by a static observer in four-dimensional de Sitter (dS$_4$) spacetime. We consider a deformed extension of dS spacetime by means…

High Energy Physics - Theory · Physics 2019-12-24 Felipe Diaz

Entanglement entropy for a spatial partition of a quantum system is studied in theories which admit a dual description in terms of the anti-de Sitter (AdS) gravity one dimension higher. A general proof of the holographic formula which…

High Energy Physics - Theory · Physics 2010-02-03 Dmitri V. Fursaev

This brief conference proceeding attempts to explain the implications of the anti-de Sitter/conformal field theory (AdS/CFT) correspondence for black hole entropy in a language accessible to relativists and other non-string theorists. The…

General Relativity and Quantum Cosmology · Physics 2009-04-17 Donald Marolf

Low-energy, near-horizon scaling limits of black holes which lead to string theory on AdS_2 x S^2 are described. Unlike the higher-dimensional cases, in the simplest approach all finite-energy excitations of AdS_2 x S^2 are suppressed.…

High Energy Physics - Theory · Physics 2009-10-31 Juan Maldacena , Jeremy Michelson , Andrew Strominger

We review the results of refs. [1,2], in which the entanglement entropy in spaces with horizons, such as Rindler or de Sitter space, is computed using holography. This is achieved through an appropriate slicing of anti-de Sitter space and…

High Energy Physics - Theory · Physics 2021-08-18 Nikolaos Tetradis

We construct a 2+1 dimensional spacetime of constant curvature whose spatial topology is that of a torus with one asymptotic region attached. It is also a black hole whose event horizon spins with respect to infinity. An observer entering…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Stefan Aminneborg , Ingemar Bengtsson , Soren Holst

In this paper a de Sitter Space version of Black Hole Complementarity is formulated which states that an observer in de Sitter Space describes the surrounding space as a sealed finite temperature cavity bounded by a horizon which allows no…

High Energy Physics - Theory · Physics 2009-11-07 Lisa Dyson , James Lindesay , Leonard Susskind

In anti-de Sitter space a highly accelerating observer perceives a Rindler horizon. The two Rindler wedges in AdS_{d+1} are holographically dual to an entangled conformal field theory that lives on two boundaries with geometry R x H_{d-1}.…

High Energy Physics - Theory · Physics 2019-01-16 Maulik Parikh , Prasant Samantray

We study 4-dimensional Schwarzschild de Sitter black holes in the regime where the black hole mass is small compared with the de Sitter scale. Then the de Sitter temperature is very low compared with that of the black hole and we study the…

High Energy Physics - Theory · Physics 2022-10-26 Kaberi Goswami , K. Narayan

The quantum states or Hilbert spaces for the quantum field theory in de Sitter space-time are studied on ambient space formalism. In this formalism, the quantum states are only depended $(1)$ on the topological character of the de Sitter…

General Relativity and Quantum Cosmology · Physics 2016-07-27 M. V. Takook

It has been proposed that spacetimes with a U(1) isometry group have contributions to the entropy from Misner strings as well as from the area of $d-2$ dimensional fixed point sets. In this paper we test this proposal by constructing…

High Energy Physics - Theory · Physics 2010-04-06 S. W. Hawking , C. J. Hunter , D. N. Page

The fundamental equation of the thermodynamic system gives the relation between internal energy, entropy and volume of two adjacent equilibrium states. Taking higher dimensional charged Gauss-Bonnet black hole in de Sitter space as a…

General Relativity and Quantum Cosmology · Physics 2020-12-09 Xiong-Ying Guo , Huai-Fan Li , Li-Chun Zhang

Near horizons, quantum fields of low spin exhibit densities of states that behave asymptotically like 1+1 dimensional conformal field theories. In effective field theory, imposing some short-distance cutoff, one can compute thermodynamic…

High Energy Physics - Theory · Physics 2024-04-30 Tom Banks , Patrick Draper

We study the entanglement entropy of a free massive scalar field at its ground state in (3+1)-dimensional AdS space in global coordinates. We consider spherical entangling surfaces centered at the origin of AdS. We determine the structure…

High Energy Physics - Theory · Physics 2025-05-23 Konstantinos Boutivas , Dimitrios Katsinis , Ioannis Papadimitriou , Georgios Pastras , Nikolaos Tetradis

Quantum gravity in 2+1 dimensions with a positive cosmological constant can be represented as an SL(2,C) Chern-Simons gauge theory. The symmetric vacuum of this theory is a degenerate configuration for which the gauge fields and spacetime…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Juan M. Maldacena , Andrew Strominger

We study anti-de Sitter black holes in 2+1 dimensions in terms of Chern Simons gauge theory of anti-de Sitter group coupled to a source. Taking the source to be an anti-de Sitter state specified by its Casimir invariants, we show how all…

High Energy Physics - Theory · Physics 2009-10-31 Sharmanthie Fernando , Freydoon Mansouri

In this paper we show that the entropy of a cosmological horizon in topological Reissner-Nordstr\"om- de Sitter and Kerr-Newman-de Sitter spaces can be described by the Cardy-Verlinde formula, which is supposed to be an entropy formula of…

High Energy Physics - Theory · Physics 2007-05-23 M R Setare

This work is intended to investigate the geometry of anti-de Sitter spacetime (AdS), from the point of view of the Laplacian Comparison Theorem (LCT), and to give another description of the hyperbolical embedding standard formalism of the…

Mathematical Physics · Physics 2007-05-23 Roldao da Rocha , E. Capelas de Oliveira

We use the duality between gravitational dynamics and fluids living on dynamical surfaces carrying multiple charges, known as the blackfold approach, to perturbativaly construct new asymptotically global (Anti)-de Sitter multi-spinning,…

High Energy Physics - Theory · Physics 2024-12-04 Jay Armas , Gianbattista-Piero Nicosia

We construct two types of phase spaces for asymptotically de Sitter Einstein-Hilbert gravity in each spacetime dimension $d \ge 3$. One type contains solutions asymptotic to the expanding spatially-flat ($k=0$) cosmological patch of de…

General Relativity and Quantum Cosmology · Physics 2013-09-17 William R. Kelly , Donald Marolf