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We develop a local theory for the construction of singular spacetimes in all spacetime dimensions which become asymptotically self-similar as the singularity is approached. The techniques developed also allow us to construct and classify…

广义相对论与量子宇宙学 · 物理学 2018-02-27 Igor Rodnianski , Yakov Shlapentokh-Rothman

We study spherically symmetric configurations of the quadratic $f(R)$ gravity in the Einstein frame. In case of a purely gravitational system, we have determined the global qualitative behavior of the metric and the scalaron field for all…

广义相对论与量子宇宙学 · 物理学 2024-07-30 V. I. Zhdanov , O. S. Stashko , Yu. V. Shtanov

We investigate the evolution of cosmological anisotropies within the framework of $f\left(G\right)$-gravity. Specifically, we consider a locally rotationally symmetric geometry in four-dimensional spacetime that describes the Bianchi I,…

广义相对论与量子宇宙学 · 物理学 2025-12-25 R. Bogadi , A. Giacomini , M. Govender , C. Hansraj , G. Leon , A. Paliathanasis

We show that there exist solutions to the semi-classical gravity equations in de Sitter spacetime sourced by the renormalised stress-energy tensor of a free Klein-Gordon field. For the massless scalar, solutions exist for every possible…

广义相对论与量子宇宙学 · 物理学 2019-10-02 Benito A. Juárez-Aubry

The Einstein-Vlasov-Fokker-Planck system describes the kinetic diffusion dynamics of self-gravitating particles within the Einstein theory of general relativity. We study the Cauchy problem for spatially homogeneous and isotropic solutions…

偏微分方程分析 · 数学 2017-10-30 Simone Calogero , Stephen Pankavich

Three non-existence results are established for self-gravitating solitons in Einstein-Maxwell-scalar models, wherein the scalar field is, generically, non-minimally coupled to the Maxwell field via a scalar function $f(\Phi)$. Firstly, a…

广义相对论与量子宇宙学 · 物理学 2019-04-26 Carlos A. R. Herdeiro , João M. S. Oliveira

Using an approach similar to arXiv:2409.15460, we give a new proof of the nonlinear stability of de Sitter space as a solution to the Einstein vacuum equations with positive cosmological constant in $n+1$ dimensions, with $n\geq3$. Using…

偏微分方程分析 · 数学 2026-05-06 Maurus Leimbacher

We show that Schwarzschild geometry remains as a vacuum solution for those four-dimensional f(T) gravitational theories behaving as ultraviolet deformations of general relativity. In the gentler context of three-dimensional gravity, we also…

广义相对论与量子宇宙学 · 物理学 2015-05-30 Rafael Ferraro , Franco Fiorini

In 1981 Wyman classified the solutions of the Einstein--Klein--Gordon equations with static spherically symmetric spacetime metric and vanishing scalar potential. For one of these classes, the scalar field linearly grows with time. We…

广义相对论与量子宇宙学 · 物理学 2021-05-07 Edgardo Franzin , Ivica Smolić

The phenomenon of spontaneous scalarization of charged black holes has attracted a lot of attention. In this work, we study the dynamical process of the spontaneous scalarization of charged black hole in asymptotically anti-de Sitter…

广义相对论与量子宇宙学 · 物理学 2022-10-05 Wen-Kun Luo , Cheng-Yong Zhang , Peng Liu , Chao Niu , Bin Wang

As a spacetime with compact spatial sections, de Sitter spacetime does not have a de Sitter-invariant ground state for a minimally-coupled massless scalar field that gives definite expectation values for any observables not invariant under…

高能物理 - 理论 · 物理学 2015-06-04 Don N. Page , Xing Wu

The vanishing cosmological constant in the four dimensional space-time is obtained in a 5D Randall-Sundrum model with a brane (B1) located at $y=0$. The matter fields can be located at the brane. For settling any vacuum energy generated at…

高能物理 - 理论 · 物理学 2009-10-31 Jihn E. Kim , Bumseok Kyae , Hyun Min Lee

Assuming both that our Universe is evolving into a de Sitter space and a vanishing cosmological constant, leaves only the option that the observed acceleration is provided by a "kinetic" energy of a scalar field. From an effective field…

广义相对论与量子宇宙学 · 物理学 2017-09-26 Cristiano Germani , Prado Martin-Moruno

Retrieval of classical behaviour in quantum cosmology is usually discussed in the framework of {\em midi}superspace models in the presence of scalar fields and the inhomogeneous modes corresponding either to gravitational or scalar fields.…

广义相对论与量子宇宙学 · 物理学 2010-11-01 O. Bertolami , P. V. Moniz

The study of the matching of stationary and axisymmetric spacetimes with Friedmann-Lemaitre-Robertson-Walker spacetimes preserving the axial symmetry is presented. We show, in particular, that any orthogonally transitive stationary and…

广义相对论与量子宇宙学 · 物理学 2009-11-11 Brien C. Nolan , Raul Vera

In this article we study self-gravitating static solutions of the Einstein-ScalarField system in arbitrary dimensions. We discuss the existence and the non-existence of geodesically complete solutions depending on the form of the scalar…

广义相对论与量子宇宙学 · 物理学 2016-02-02 Martin Reiris

We briefly review the arising of an inflationary phase in the Universe evolution in order to discuss an inhomogeneous cosmological solution in presence of a real self interacting scalar field minimally coupled to gravity in the region of a…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Giovanni Imponente

Global properties of static, spherically symmetric configurations of scalar fields of sigma-model type with arbitrary potentials are studied in $D$ dimensions, including space-times containing multiple internal factor spaces. The latter are…

广义相对论与量子宇宙学 · 物理学 2015-06-25 K. A. Bronnikov , S. B. Fadeev , A. V. Michtchenko

We investigate the dynamical behavior of a scalar field non-minimally coupled to Einstein's tensor and Ricci scalar in geometries of asymptotically de Sitter spacetimes. We show that the quasinormal modes remain unaffected if the scalar…

广义相对论与量子宇宙学 · 物理学 2019-04-25 R. D. B. Fontana , Jeferson de Oliveira , A. B. Pavan

We investigate f(R)-gravity models performing the ADM-slicing of standard General Relativity. We extract the static, spherically-symmetric vacuum solutions in the general case, which correspond to either Schwarzschild de-Sitter or…

宇宙学与河外天体物理 · 物理学 2011-11-07 Sayan K. Chakrabarti , Emmanuel N. Saridakis , Anjan A. Sen