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Most no-hair theorems involve the assumption that the scalar field is independent of time. Recently in [Phys. Rev. D90 (2014) 041501(R)] the existence of time-dependent scalar hair outside a stationary black hole in general relativity was…

General Relativity and Quantum Cosmology · Physics 2016-08-29 Yi Zhong , Bao-Min Gu , Shao-Wen Wei , Yu-Xiao Liu

The Johannsen-Psaltis spacetime explicitly violates the no hair theorem. It describes rotating black holes with scalar hair in the form of parametric deviations from the Kerr metric. In principle, black hole solutions in any modified theory…

General Relativity and Quantum Cosmology · Physics 2020-01-08 Anslyn John , Chris Stevens

In this sequel paper we give a shorter, second proof of the monotonicity of the Hawking mass for time flat surfaces under spacelike uniformly area expanding flows in spacetimes that satisfy the dominant energy condition. We also include a…

Differential Geometry · Mathematics 2017-01-18 Hubert L. Bray , Jeffrey L. Jauregui , Marc Mars

We study the asymptotically flat quasi-local black hole/hairy black hole model with nonzero mass of the scalar filed. We disclose effects of the scalar mass on transitions in a grand canonical ensemble with condensation behaviors of a…

High Energy Physics - Theory · Physics 2018-04-04 Yan Peng , Bin Wang , Yunqi Liu

We show a spacetime positive mass theorem for asymptotically flat initial data sets with a noncompact boundary. We develop a mass type invariant and a boundary dominant energy condition. Our proof is based on spinors.

Differential Geometry · Mathematics 2023-04-12 Xiaoxiang Chai

Using asymptotic characterization results of spacetimes at conformal infinity, we prove that Kerr-Schild-de Sitter spacetimes are in one-to-one correspondence with spacetimes in the Kerr-de Sitter-like class with conformally flat…

General Relativity and Quantum Cosmology · Physics 2022-02-23 Marc Mars , Carlos Peón-Nieto

I argue that the conventional field theoretic notion of vacuum state is not valid in quantum gravity. The arguments use gravitational effective field theory, as well as results from string theory, particularly the AdS/CFT correspondence.…

High Energy Physics - Theory · Physics 2010-09-24 Tom Banks

The aim of this article is to analyze the asymptotic properties of the C-metric, using a general method specified in work of Tafel and coworkers, [1], [2], [3]. By finding an appropriate conformal factor $\Omega$, it allows the…

General Relativity and Quantum Cosmology · Physics 2014-11-20 Pavel Sladek , Daniel J. Finley

In this paper we establish two results concerning four-dimensional asymptotically flat spacetimes at spatial infinity. First, we show that the six conserved Lorentz charges are encoded in two unique, distinct, but mutually dual symmetric…

General Relativity and Quantum Cosmology · Physics 2015-05-27 Geoffrey Compère , François Dehouck , Amitabh Virmani

A framework conceptually based on the conformal techniques employed to study the structure of the gravitational field at infinity is set up in the context of loop quantum gravity to describe asymptotically anti-de Sitter quantum spacetimes.…

General Relativity and Quantum Cosmology · Physics 2016-11-30 Norbert Bodendorfer

We study the geometry of a general class of vacuum asymptotically Anti-de Sitter spacetimes near the conformal boundary. In particular, the spacetime is only assumed to have finite regularity, and it is allowed to have arbitrary boundary…

General Relativity and Quantum Cosmology · Physics 2020-11-18 Arick Shao

We study the classical radiation emitted by free-falling charges in de Sitter spacetime coupled to different kinds of fields. Specifically we consider the cases of the electromagnetic field, linearized gravity and scalar fields with…

General Relativity and Quantum Cosmology · Physics 2010-10-11 E. T. Akhmedov , Albert Roura , A. Sadofyev

We investigate the superhorizon behavior of scalar hair sourced by black holes in de Sitter spacetime in the linearly coupled shift-symmetric scalar-Gauss-Bonnet theory. Working in the test-field regime, we show that this hair exhibits both…

General Relativity and Quantum Cosmology · Physics 2026-05-15 Dražen Glavan , Darío Jaramillo-Garrido

We derive the mass formulae for ${\cal N}=1$, $D=4$ matter-coupled Supergravity for broken (and unbroken) Supersymmetry in curved space-time. These formulae are applicable to de Sitter configurations as is the case for inflation. For…

High Energy Physics - Theory · Physics 2016-12-21 Sergio Ferrara , Antoine Van Proeyen

We provide a partial characterization of the conformal infinity of asymptotically de Sitter spacetimes by deriving constraints that relate the asymptotics of the stress-energy tensor with conformal geometric data. The latter is captured…

General Relativity and Quantum Cosmology · Physics 2023-02-16 A. Rod Gover , Jarosław Kopiński

We discuss the spatial limit of the quasi-local mass for certain ellipsoids in an asymptotically flat static spherically symmetric spacetime. These ellipsoids are not nearly round but they are of interest as an admissible parametrized…

General Relativity and Quantum Cosmology · Physics 2020-01-09 Xiaokai He , Leong-Fai Wong , Naqing Xie

We study the asymptotic behaviour of 1-parameter subgroups with respect to Hofer's metric when the underlying symplectic manifold is an open surface of infinite area. We prove that, depending on the topology of the level sets of the…

Differential Geometry · Mathematics 2007-05-23 Leonid Polterovich , Karl Friedrich Siburg

The covariant free fields of any spin on anti-de Sitter spacetimes are studied, pointing out that these transform under isometries according to covariant representations of the anti-de Sitter isometry group, induced by those of the Lorentz…

General Relativity and Quantum Cosmology · Physics 2018-02-20 Ion I. Cotaescu

We consider new cosmological solutions which generalize the cosmological patch of the Anti-de Sitter (AdS) space-time, allowing for fluids with equations of state such that $w\neq -1$. We use them to derive the associated full manifolds. We…

General Relativity and Quantum Cosmology · Physics 2010-05-25 Joao Magueijo , Ali Mozaffari

Rigidity results for asymptotically locally hyperbolic manifolds with lower bounds on scalar curvature are proved using spinor methods related to the Witten proof of the positive mass theorem. The argument is based on a study of the Dirac…

dg-ga · Mathematics 2011-07-21 L. Andersson , M. Dahl