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The symmetry algebra of asymptotically flat spacetimes at null infinity in four dimensions in the sense of Newman and Unti is revisited. As in the Bondi-Metzner-Sachs gauge, it is shown to be isomorphic to the direct sum of the abelian…

General Relativity and Quantum Cosmology · Physics 2013-01-24 Glenn Barnich , Pierre-Henry Lambert

We present a simple and complete classification of static solutions in the Einstein-Maxwell system with a massless scalar field in arbitrary $n(\ge 3)$ dimensions. We consider spacetimes which correspond to a warped product $M^2 \times…

General Relativity and Quantum Cosmology · Physics 2018-08-07 Hideki Maeda , Cristian Martinez

We investigate the asymptotia of decelerating and spatially flat FLRW spacetimes at future null infinity. We find that the asymptotic algebra of diffeomorphisms can be enlarged to the recently discovered Weyl-BMS algebra for asymptotically…

General Relativity and Quantum Cosmology · Physics 2023-02-09 Martin Enriquez-Rojo , Till Heckelbacher , Roberto Oliveri

We apply the new fall of conditions presented in the paper \cite{10} on asymptotically flat spacetime solutions of Chern-Simons-like theories of gravity. We show that the considered fall of conditions asymptotically solve equations of…

High Energy Physics - Theory · Physics 2018-03-14 M. R. Setare , H. Adami

In this paper we show that one can have asymptotically de Sitter (dS), anti-de Sitter (AdS) and flat solutions in Gauss-Bonnet gravity without any need to a cosmological constant term in field equations. First, we introduce static solutions…

High Energy Physics - Theory · Physics 2009-11-10 M. H. Dehghani

We establish the equality of the ADM mass and the total electric charge for asymptotically flat, static electrovac black hole spacetimes with completely degenerate, not necessarily connected horizon.

General Relativity and Quantum Cosmology · Physics 2010-04-06 M. Heusler

This paper studies the reduced phase space formulation (relational formalism) of gravity coupling to the Brown-Kucha\v r dust for asymptotic flat spacetimes. A set of boundary conditions for the asymptotic flatness are formulated for Dirac…

General Relativity and Quantum Cosmology · Physics 2023-09-08 Muxin Han , Zichang Huang , Hongwei Tan

We construct and investigate non conformal anisotropic Bianchi type VII solutions in 5 dimensions. The solutions are asymptotically flat, but they contain a naked singularity at the origin. We also construct solutions of Einstein-Maxwell…

General Relativity and Quantum Cosmology · Physics 2014-09-30 Manavendra Mahato , Ajay Pratap Singh

We compute the vacuum energy of three-dimensional asymptotically flat space based on a Chern-Simons formulation for the Poincare group. The equivalent action is nothing but the Einstein-Hilbert term in the bulk plus half of the…

High Energy Physics - Theory · Physics 2017-02-17 Olivera Miskovic , Rodrigo Olea , Debraj Roy

We consider four-dimensional Einstein gravity minimally coupled to a dilaton scalar field with a supergravity-inspired scalar potential. We obtain an exact time-dependent spherically symmetric solution describing gravitational collapse to a…

High Energy Physics - Theory · Physics 2014-10-21 Xuefeng Zhang , H. Lu

The two-parameter charged McVittie solution of the Einstein equations is revisited and its apparent horizons are discussed and located numerically (for the extremal case, analytically). According to the parameter values, this spacetime can…

General Relativity and Quantum Cosmology · Physics 2015-06-19 Valerio Faraoni , Andres F. Zambrano Moreno , Angus Prain

In this article, we propose a procedure for calculating the boundary stress tensor of a gravitational theory in asymptotic flat spacetime. As a case study, the stress tensor correctly reproduces the Brown-York charges for the Kerr blackhole…

High Energy Physics - Theory · Physics 2025-09-25 Jay Bhambure , Hare Krishna

We define the asymptotic flatness and discuss asymptotic symmetry at null infinity in arbitrary dimensions using the Bondi coordinates. To define the asymptotic flatness, we solve the Einstein equations and look at the asymptotic behavior…

General Relativity and Quantum Cosmology · Physics 2011-09-01 Kentaro Tanabe , Shunichiro Kinoshita , Tetsuya Shiromizu

We consider the general asymptotic expression of stationary space-time. Using Killing equation, we reduce the dynamical freedom of Einstein equation to the in-going gravitational wave $\Psi_0$. The general form of this function can be got.…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Xiaoning Wu , Yu Shang

The Zipoy-Voorhees family of static, axisymmetric vacuum solutions forms an interesting family in that it contains the Schwarzschild black hole excepting which all other members have naked singularity. We analyze some properties of the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 N. Dadhich , G. Date

We consider geodesics of massive and massless test particles in the gravitational field of a static and axisymmetric compact object described by the quadrupolar metric ($q$-metric), which is the simplest generalization of the Schwarzschild…

General Relativity and Quantum Cosmology · Physics 2024-12-10 Serzhan Momynov , Kuantay Boshkayev , Hernando Quevedo , Farida Belissarova , Anar Dalelkhankyzy , Aliya Taukenova , Ainur Urazalina , Daniya Utepova

We present a stationary generalization of the static $q-$metric, the simplest generalization of the Schwarzschild solution that contains a quadrupole parameter. It possesses three independent parameters that are related to the mass,…

General Relativity and Quantum Cosmology · Physics 2015-10-15 Saken Toktarbay , Hernando Quevedo

Within the framework of the scalar-tensor models of gravitation and by relying on analytical and numerical techniques, we establish the existence of a class of spherically symmetric spacetimes containing a naked singularity. Our result…

General Relativity and Quantum Cosmology · Physics 2010-11-30 Nabil Bedjaoui , Philippe G. LeFloch , José M. Martín-García , Jérôme Novak

The BKL conjecture, stated in the 60s and early 70s by Belinski, Khalatnikov and Lifshitz, proposes a detailed description of the generic asymptotic dynamics of spacetimes as they approach a spacelike singularity. It predicts complicated…

General Relativity and Quantum Cosmology · Physics 2015-12-11 Paul Klinger

A quantum theory of asymptotically flat space-times is presented using the solutions of the Null Surface Formulation (NSF) field equations in a perturbative scheme. Free-field commutation relations are given for the null free data of NSF at…

High Energy Physics - Theory · Physics 2025-06-30 Carlos N. Kozameh , Lautaro Zapata-Altuna