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It is argued that many of the problems and ambiguities of standard cosmology derive from a single one: violation of conservation of energy in the standard paradigm. Standard cosmology satisfies conservation of local energy, however…

General Physics · Physics 2017-10-02 Herman Telkamp

We show the stability of Kerr-de Sitter black holes, in the full subextremal range, as solutions of the vacuum Einstein equation with a positive cosmological constant under the assumption that mode stability holds for these spacetimes. The…

General Relativity and Quantum Cosmology · Physics 2025-08-12 Peter Hintz , Oliver Petersen , András Vasy

The entire classical cosmological history between two extreme de Sitter vacuum solutions is discussed based on Einstein's equations and non-equilibrium thermodynamics. The initial non-singular de Sitter state is characterised by a very high…

Cosmology and Nongalactic Astrophysics · Physics 2024-09-02 P. E. M. Almeida , R. C. Santos , J. A. S. Lima

Conformal embedding of closed-universe models in a de Sitter background suggests a quantisation condition on the available conformal time. This condition implies that the universe is closed at no greater than the 10% level. When a massive…

Astrophysics · Physics 2009-11-10 Anthony Lasenby , Chris Doran

Although previous results have ruled out the possibility of a static horizon in cosmology, we present black hole and white hole metrics that retain static horizons while reproducing cosmological behavior at large distances. Using an…

General Relativity and Quantum Cosmology · Physics 2025-08-05 Ida M. Rasulian , Amjad Ashoorioon

The cosmological horizon has an associated entropy suggesting that it might encode a quantum mechanical system on its surface. This has motivated extending the principles of the anti-de Sitter (AdS) space/ conformal field theory (CFT)…

High Energy Physics - Theory · Physics 2024-07-22 S. E. Aguilar-Gutierrez

I show that the de Sitter Equilibrium cosmology generically predicts observable levels of curvature in the Universe today. The predicted value of the curvature depends only on the ratio of the density of non-relativistic matter to energy…

Cosmology and Nongalactic Astrophysics · Physics 2013-05-29 Andreas Albrecht

De Sitter space-time, essentially our own universe, is plagued by problems at the quantum level. Here we propose that Lorentzian de Sitter space-time is not fundamental but constitutes only an effective description of a more fundamental…

High Energy Physics - Theory · Physics 2023-04-12 Carlo A. Trugenberger

Spherically symmetric static solutions of the Einstein equations with a positive cosmological constant for the energy-momentum tensor of a barotropic perfect fluid are governed by the Tolman-Oppenheimer-Volkoff-de Sitter equation. Existence…

Analysis of PDEs · Mathematics 2016-03-09 Tetu Makino

Gravitational physics is arguably better understood in the presence of a negative cosmological constant than a positive one, yet there exist strong technical similarities between the two settings. These similarities can be exploited to…

High Energy Physics - Theory · Physics 2020-10-21 Alice Di Tucci , Michal P. Heller , Jean-Luc Lehners

We introduce novel Einstein spaces which are the {\it stationary analogs of de Sitter and ani-de Sitter} spacetimes. Having $\Lambda$ as their only parameter, the inherent anisotropy in these solutions appears as a dilemma if we treat the…

General Relativity and Quantum Cosmology · Physics 2020-05-18 M. Nouri-Zonoz , A. Nouri-Zonoz

The extendibility of spacetime and the existence of weak solutions to the Einstein field equations beyond Cauchy horizons, is a crucial ingredient to examine the limits of General Relativity. Strong Cosmic Censorship serves as a firewall…

General Relativity and Quantum Cosmology · Physics 2020-11-17 Kyriakos Destounis , Rodrigo D. B. Fontana , Filipe C. Mena

We solve the Wheeler-DeWitt equation in the 'cosmological interior' (the past causal diamond of future infinity) of four dimensional dS-Schwarzschild spacetimes. Within minisuperspace there is a basis of solutions labelled by a constant…

High Energy Physics - Theory · Physics 2023-04-17 Matthew J. Blacker , Sean A. Hartnoll

The static patch of de Sitter spacetime and the Rindler wedge of Minkowski spacetime are causal diamonds admitting a true Killing field, and they behave as thermodynamic equilibrium states under gravitational perturbations. We explore the…

High Energy Physics - Theory · Physics 2019-12-16 Ted Jacobson , Manus R. Visser

We study the thermodynamic properties of high dimensional Schwarzschild de Sitter spacetimes with the consideration of quantum effects. It is shown that by considering the cosmological constant as a variable state parameter and adding an…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Shuang Wang

We elaborate on the cosmological implications of the recently established non-perturbative $O(D,D$)-symmetric approach. Following the $\alpha'$-complete Friedmann equations, we provide a qualitative description of the dynamics of anisotropy…

High Energy Physics - Theory · Physics 2023-01-18 Przemysław Bieniek , Jan Chojnacki , Jan H. Kwapisz , Krzysztof A. Meissner

This paper studies the spatially homogeneous Einstein-de Sitter cosmological model in the context of a relativistic hierarchical (fractal) cosmology as developed in paper I (0807.0866). The Einstein-de Sitter model is treated as a special…

Astrophysics · Physics 2011-02-11 Marcelo B. Ribeiro

KKLT give a mechanism to generate de Sitter vacua in string theory. And recently, the scenario, {\em landscape}, is suggested to explain the problem of the cosmological constant. In this scenario, the cosmological constant is a de Sitter…

High Energy Physics - Theory · Physics 2009-07-06 C. Y. Sun , D. H. Zhang

In this paper we study non-singular vacuum static space-times with non-zero cosmological constant. We introduce new integral quantities, and under suitable assumptions we prove their monotonicity along the level set flow of the static…

Differential Geometry · Mathematics 2022-03-10 Stefano Borghini , Lorenzo Mazzieri

Horndeski models with a de Sitter critical point for any kind of material content may provide a mechanism to alleviate the cosmological constant problem. We study the cosmological evolution of two classes of families - the linear models and…

General Relativity and Quantum Cosmology · Physics 2015-11-03 Nelson J. Nunes , Prado Martin-Moruno , Francisco S. N. Lobo