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It is shown that if an asymptotically flat spacetime is asymptotically stationary, in the sense that $\Lie_{\xi} g_{ab}$ vanishes at the rate $\sim t^{-3}$ for asymptotically timelike vector field $\xi^a$, and the energy-momentum tensor…

广义相对论与量子宇宙学 · 物理学 2009-10-31 Uchida Gen , Tetsuya Shiromizu

We find a class of (2+1)-dimensional spacetimes admitting Killing spinors appropriate to (2,0) adS-supergravity. The vacuum spacetimes include anti-de Sitter (adS) space and charged extreme black holes, but there are many others, including…

广义相对论与量子宇宙学 · 物理学 2010-04-06 J. M. Izquierdo , P. K. Townsend

The Bartnik mass is a quasi-local mass tailored to asymptotically flat Riemannian manifolds with non-negative scalar curvature. From the perspective of general relativity, these model time-symmetric domains obeying the dominant energy…

微分几何 · 数学 2018-08-15 Armando J. Cabrera Pacheco , Carla Cederbaum , Stephen McCormick

Spatially homogeneous cosmological spacetimes, evolving in the presence of a positive cosmological constant and matter satisfying some reasonable energy conditions, typically approach the de Sitter geometry asymptotically (at least…

广义相对论与量子宇宙学 · 物理学 2022-09-20 Aditya Sharma , Kinjal Banerjee , Jishnu Bhattacharyya

A solution to the massless scalar cosmological constant field equations is presented. The solution has imploding scalar and parts of anti-deSitter or deSitter spacetime as limiting cases. Some of the solutions properties are discussed…

广义相对论与量子宇宙学 · 物理学 2019-07-30 Mark D. Roberts

The divergences of the gravitational action are analyzed for spacetimes that are asymptotically anti-de Sitter and asymptotically flat. The gravitational action is rendered finite using a local counterterm prescription, and the relation of…

高能物理 - 理论 · 物理学 2009-10-31 Per Kraus , Finn Larsen , Ruud Siebelink

The stochastic effective theory approach, often called stochastic inflation, is widely used in cosmology to describe scalar field dynamics during inflation. The existing formulations are, however, more qualitative than quantitative because…

广义相对论与量子宇宙学 · 物理学 2024-02-29 Archie Cable , Arttu Rajantie

In the framework of multidimensional $f(R)$ gravity, we study the metrics of compact extra dimensions assuming that our 4D space has the de Sitter metric. Manifolds described by such metrics could be formed at the inflationary and even…

广义相对论与量子宇宙学 · 物理学 2020-10-27 Kirill A. Bronnikov , Arkady A. Popov , Sergey G. Rubin

We determine all spacetime flows which lead to a Hamiltonian dynamics in the space of general relativistic initial data sets with asymptotically Kerr-de Sitter ends. The corresponding Hamiltonians are calculated. Some implications for…

广义相对论与量子宇宙学 · 物理学 2015-10-21 Piotr T. Chruściel , Jacek Jezierski , Jerzy Kijowski

We prove the spacetime positive mass theorem in dimensions less than eight. This theorem states that for any asymptotically flat initial data set satisfying the dominant energy condition, the ADM energy-momentum vector $(E,P)$ of the…

微分几何 · 数学 2015-12-24 Michael Eichmair , Lan-Hsuan Huang , Dan A. Lee , Richard Schoen

We study scalar condensations around asymptotically Anti-de Sitter(AdS) regular reflecting shells. We show that the charged scalar field can condense around charged reflecting shells with both Dirichlet and Neumann boundary conditions. In…

广义相对论与量子宇宙学 · 物理学 2018-08-29 Yan Peng , Bin Wang , Yunqi Liu

It is shown that within conformally flat stationary axisymmetric spacetimes, besides of the static family, there exists a new class of metrics, which is always stationary and axisymmetric. All these spacetimes, the static and the stationary…

广义相对论与量子宇宙学 · 物理学 2014-11-17 Alberto A. Garcia , Cuauhtemoc Campuzano

We rederive the characters of all unitary irreducible representations of the $(d+1)$-dimensional de Sitter spacetime isometry algebra $\mathfrak{so}(1,d+1)$, and propose a dictionary between those representations and massive or (partially)…

高能物理 - 理论 · 物理学 2019-11-05 Thomas Basile , Xavier Bekaert , Nicolas Boulanger

We consider global monopoles as well as black holes with global monopole hair in Einstein-Goldstone model with a cosmological constant in four spacetime dimensions. Similar to the $\Lambda=0$ case, the mass of these solutions defined in the…

高能物理 - 理论 · 物理学 2008-11-26 Yves Brihaye , Betti Hartmann , Eugen Radu

We present results from a detailed study of spherically symmetric Einstein-massless-scalar field dynamics with a negative cosmological constant in four to nine spacetime dimensions. This study is the first to present a detailed examination…

广义相对论与量子宇宙学 · 物理学 2019-12-18 Nils Deppe

We construct static, asymptotically flat black hole solutions with scalar hair. They evade the no-hair theorems by having a scalar potential which is not strictly positive. By including an azimuthal winding number in the scalar field…

广义相对论与量子宇宙学 · 物理学 2015-06-16 Burkhard Kleihaus , Jutta Kunz , Eugen Radu , Bintoro Subagyo

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…

高能物理 - 理论 · 物理学 2023-04-12 Carlo A. Trugenberger

The requirements are formulated which lead to the existence of the class of globally regular solutions to the minimally coupled GR equations which are asymptotically de Sitter at the center. The brief review of the resulting geometry is…

广义相对论与量子宇宙学 · 物理学 2014-11-17 Irina Dymnikova

We extend the work in our earlier article [4] to show that time-periodic, asymptotically-flat solutions of the Einstein equations analytic at scri, whose source is one of a range of scalar-field models, are necessarily stationary. We also…

广义相对论与量子宇宙学 · 物理学 2011-01-18 Jiří Bičák , Martin Scholtz , Paul Tod

We present a comprehensive discussion of gravitational charges and radiation in four-dimensional asymptotically locally de Sitter (AldS) spacetimes. Such spacetimes have compact spatial sections and possess spacelike past and future…

高能物理 - 理论 · 物理学 2025-12-17 Aaron Poole , Kostas Skenderis , Marika Taylor