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We consider the limit $a\rightarrow \infty$ of the Kerr-de Sitter spacetime. The spacetime is a Petrov type-D solution of the vacuum Einstein field equations with a positive cosmological constant $\Lambda$, vanishing Mars-Simon tensor and…

General Relativity and Quantum Cosmology · Physics 2018-01-24 Marc Mars , Tim-Torben Paetz , José M. M. Senovilla

The entropy of a de Sitter horizon was derived long ago by Gibbons and Hawking via a gravitational partition function. Since there is no boundary at which to define the temperature or energy of the ensemble, the statistical foundation of…

High Energy Physics - Theory · Physics 2022-07-14 Batoul Banihashemi , Ted Jacobson

We study gravitational theories with a cosmological constant and the Gauss-Bonnet curvature squared term and analyze the possibility of de Sitter expanding spacetime with a constant internal space. We find that there are two branches of the…

High Energy Physics - Theory · Physics 2015-06-19 Kei-ichi Maeda , Nobuyoshi Ohta

A generalisation of the asymptotic wormhole boundary condition for the case of spacetimes with a cosmological horizon is proposed. In particular, we consider de Sitter spacetime with small cosmological constant. The wave functions selected…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Carlos Barcelo

The action and the thermodynamics of a rotating black hole in the presence of a positive cosmological constant are analyzed. Since there is no spatial infinity, one must bring in, instead, a platform where the parameters characterizing the…

High Energy Physics - Theory · Physics 2009-11-10 Andres Gomberoff , Claudio Teitelboim

Inertial observers in de Sitter are surrounded by a horizon and see thermal fluctuations. To them, a massless scalar field appears to follow a random motion but any attractive potential, no matter how weak, will eventually stabilize the…

High Energy Physics - Theory · Physics 2020-12-09 Mehrdad Mirbabayi

In this paper we discuss the question of whether the entropy of cosmological horizon in some asymptotically de Sitter spaces can be described by the Cardy-Verlinde formula, which is supposed to be an entropy formula of conformal field…

High Energy Physics - Theory · Physics 2009-11-07 Rong-Gen Cai

Recent observations in cosmology indicate an accelerating expansion of the universe postulated to arise from some form of dark energy, the paradigm being positive cosmological constant. De Sitter spacetime is the well-known isotropic…

General Relativity and Quantum Cosmology · Physics 2009-11-13 K. Schleich , D. M. Witt

We present a family of spherically symmetric spacetimes, specified by the density profile of a vacuum dark energy, which have the same global structure as the de Sitter spacetime but the reduced symmetry which leads to a time-evolving and…

General Relativity and Quantum Cosmology · Physics 2015-06-05 Irina Dymnikova

In three dimensions, Kerr-de Sitter spacetime as a solution of Einstein gravity with positive cosmological constant has a single cosmological horizon. The flat-space limit (zero cosmological constant limit) of this spacetime is well-defined…

High Energy Physics - Theory · Physics 2023-10-17 Reza Fareghbal , Vahid Reza Shajiee

We consider plane-symmetric spacetimes satisfying Einstein's field equations with positive cosmological constant, when the matter is a fluid whose pressure is equal to its mass-energy density (i.e. a so-called stiff fluid). We study the…

General Relativity and Quantum Cosmology · Physics 2012-05-01 Philippe G. LeFloch , Sophonie B. Tchapnda

A spherically symmetric charged ideal fluid solution of Einstein field equation is given in the presence of the cosmological constant and two well known example of this type of solution is presented. If the matter is confined in a region,…

General Relativity and Quantum Cosmology · Physics 2007-11-30 N. Ozdemir

A dynamical aspect of quantum gravity on de Sitter spacetime is investigated by holography or the dS/CFT correspondence. We show that de Sitter spacetime emerges from a free Sp(N) vector model by complexifying the ghost fields and flowing…

High Energy Physics - Theory · Physics 2020-04-10 Shuichi Yokoyama

Multidimensional cosmological model with static internal spaces describing the evolution of an Einstein space of non-zero curvature and n internal spaces is considered. The action contains several dilatonic scalar fields and antisymmetric…

General Relativity and Quantum Cosmology · Physics 2007-05-23 M. A. Grebeniuk , V. D. Ivashchuk , V. N. Melnikov

We study the thermodynamics of de Sitter black holes with a conformally coupled scalar field. The geometry is that of the ``lukewarm'' Reissner-Nordstrom-de Sitter black holes, with the event and cosmological horizons at the same…

General Relativity and Quantum Cosmology · Physics 2011-07-19 Anne-Marie Barlow , Daniel Doherty , Elizabeth Winstanley

We study constant mean curvature Lorentzian hypersurfaces of $\mathbb{R}^{1,d+1}$ from the point of view of its Cauchy problem. We completely classify the spherically symmetric solutions, which include among them a manifold isometric to the…

Differential Geometry · Mathematics 2014-10-14 Willie Wai-Yeung Wong

We start a systematic investigation of possible isometries of the asymptotically de Sitter solutions to Einstein equations. We reformulate the Killing equation as conformal equations for the initial data at $\mathcal{I}^+$. This allows for…

General Relativity and Quantum Cosmology · Physics 2022-09-21 Wojciech Kamiński , Maciej Kolanowski , Jerzy Lewandowski

We construct spherically symmetric solutions to the Einstein-Euler equations, which contains a positive cosmological constant, say, the Einstein-Euler-de Sitter equations. We assume a realistic barotropic equation of state. Equilibria of…

Analysis of PDEs · Mathematics 2019-06-11 Tetu Makino

Using perturbative techniques, we investigate the existence and properties of a new static solution for the Einstein equation with a negative cosmological constant, which we call the deformed black hole. We derive a solution for a static…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Hirotaka Yoshino , Tohru Ohba , Akira Tomimatsu

Decaying vacuum cosmological models evolving smoothly between two extreme (very early and late time) de Sitter phases are capable to solve or at least to alleviate some cosmological puzzles, among them: (i) the singularity, (ii) horizon,…

General Relativity and Quantum Cosmology · Physics 2018-07-26 G. J. M. Zilioti , R. C. Santos , J. A. S. Lima