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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…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Uchida Gen , Tetsuya Shiromizu

Asymptotic symmetries of electric and magnetic Carrollian gravitational theories with a negative cosmological constant $\Lambda$ are analyzed in 3+1 space-time dimensions. In the magnetic theory, the asymptotic symmetry algebra is given by…

High Energy Physics - Theory · Physics 2022-09-28 Alfredo Pérez

We show that the asymptotic boundary conditions of general asymptotically flat black holes in four dimensions can be modified such that a conformal symmetry emerges. The black holes with the asymptotic geometry removed in this manner…

High Energy Physics - Theory · Physics 2015-06-03 Mirjam Cvetic , Finn Larsen

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…

General Relativity and Quantum Cosmology · Physics 2018-02-27 Igor Rodnianski , Yakov Shlapentokh-Rothman

We consider non-linear gravitational models with a multidimensional warped product geometry. Particular attention is payed to models with quadratic scalar curvature terms. It is shown that for certain parameter ranges, the extra dimensions…

High Energy Physics - Theory · Physics 2014-11-18 U. Guenther , P. Moniz , A. Zhuk

We analyze the asymptotic symmetries and their associated charges at spatial infinity in $4$-dimensional asymptotically-flat spacetimes. We use the covariant formalism of Ashtekar and Hansen where the asymptotic fields and symmetries live…

General Relativity and Quantum Cosmology · Physics 2020-08-05 Kartik Prabhu , Ibrahim Shehzad

A consistent set of asymptotic conditions for higher spin gravity in three dimensions is proposed in the case of vanishing cosmological constant. The asymptotic symmetries are found to be spanned by a higher spin extension of the BMS3…

High Energy Physics - Theory · Physics 2013-09-09 Hernan A. Gonzalez , Javier Matulich , Miguel Pino , Ricardo Troncoso

We study numerically the fully nonlinear gravitational collapse of a self-gravitating, minimally-coupled, massless scalar field in spherical symmetry. Our numerical code is based on double-null coordinates and on free evolution of the…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Lior M. Burko , Amos Ori

In this paper we investigate asymptotic isotropization. We derive the asymptotic dynamics of spatially inhomogeneous cosmological models with a perfect fluid matter source and a positive cosmological constant near the de Sitter equilibrium…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Woei Chet Lim , Henk van Elst , Claes Uggla , John Wainwright

We show that the quasi-Euclidean sections of various rotating black holes in different dimensions possess at least one non-conformal negative mode when thermodynamic instabilities are expected. The boundary conditions of fixed induced…

General Relativity and Quantum Cosmology · Physics 2010-04-14 Ricardo Monteiro , Malcolm J. Perry , Jorge E. Santos

We define coarse proximity structures, which are an analog of small-scale proximity spaces in the large-scale context. We show that metric spaces induce coarse proximity structures, and we construct a natural small-scale proximity…

Metric Geometry · Mathematics 2024-04-16 Pawel Grzegrzolka , Jeremy Siegert

We study the dynamics of a black hole in an asymptotically $AdS_d \times S^d$ space-time in the limit of a large number of dimensions, $d \to \infty$. Such a black hole is known to become dynamically unstable below a critical radius. We…

High Energy Physics - Theory · Physics 2018-04-04 Christopher P. Herzog , Youngshin Kim

We construct a new global, fully analytic, approximate spacetime which accurately describes the dynamics of non-precessing, spinning black hole binaries during the inspiral phase of the relativistic merger process. This approximate solution…

General Relativity and Quantum Cosmology · Physics 2016-06-01 Brennan Ireland , Bruno C. Mundim , Hiroyuki Nakano , Manuela Campanelli

We present the first example of a linearized gravitational instability of an asymptotically flat vacuum black hole. We study perturbations of a Myers-Perry black hole with equal angular momenta in an odd number of dimensions. We find no…

High Energy Physics - Theory · Physics 2010-12-03 Oscar J. C. Dias , Pau Figueras , Ricardo Monteiro , Harvey S. Reall , Jorge E. Santos

We investigate properties of two-dimensional asymptotically flat black holes which arise in both string theory and in scale invariant theories of gravity. By introducing matter sources in the field equations we show how such objects can…

High Energy Physics - Theory · Physics 2010-04-06 R. B. Mann , M. S. Morris , S. F. Ross

"Almost all" seems to be known about isolated stationary black holes in asymptotically flat space-times and about the behaviour of {\em test} matter and fields in their backgrounds. The black holes likely present in galactic nuclei and in…

General Relativity and Quantum Cosmology · Physics 2021-04-07 Oldřich Semerák , Petra Suková

We consider Kerr-de Sitter spacetimes and evaluate their mass, angular momentum and entropy according to the boundary counterterm prescription. We provide a physicall interpretation for angular velocity and angular momentum at future/past…

High Energy Physics - Theory · Physics 2015-06-26 A. M. Ghezelbash , R. B. Mann

We present a maximally symmetric vacuum spacetime, which is locally isometric anti- de Sitter, admitting closed timelike curves appear after a definite instant of time i.e., a time-machine spacetime. The spacetime is regular, free-from…

General Relativity and Quantum Cosmology · Physics 2016-05-13 Faizuddin Ahmed , Davood Momeni , Debojit Sarma , Bidyut Bikash Hazarika , Ratbay Myrzakulov

We continue our study on the logarithmic balanced model metric initiated in our previous work. By a non-trivial refinement of the set of tools developed in our previous work, we are able to confirm partially a conjecture we made in our…

Complex Variables · Mathematics 2024-05-15 Jingzhou Sun

We generalize the notions of asymptotic dimension and coarse embeddings from metric spaces to quantum metric spaces in the sense of Kuperberg and Weaver. We show that quantum asymptotic dimension behaves well with respect to metric…

Operator Algebras · Mathematics 2020-06-08 Javier Alejandro Chávez-Domínguez , Andrew T. Swift