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Using the inverse scattering method to solve the five-dimensional vacuum Einstein equations, we construct an asymptotically flat four-soliton solution as a stationary and bi-axisymmetric solution. We impose certain boundary conditions on…

High Energy Physics - Theory · Physics 2019-05-29 Shinya Tomizawa , Takashi Mishima

The article aims to analyze a construction of charges (conserved quantities) for the gravity field in the (3+1) decomposition. The construction is based on (3+1) splitting of conformal Yano--Killing (CYK) two-form. The splitting leads to…

General Relativity and Quantum Cosmology · Physics 2022-03-15 Jacek Jezierski , Tomasz Smołka

Consider compact objects --such as neutron star or black hole binaries-- in \emph{full, non-linear} general relativity. In the case with zero cosmological constant $\Lambda$, the gravitational radiation emitted by such systems is described…

General Relativity and Quantum Cosmology · Physics 2019-07-31 Abhay Ashtekar , Sina Bahrami

We show that a hypothesis that spacetime is quantum with coordinate algebra $[x^i,t]=\lambda_P x^i$, and spherical symmetry under rotations of the $x^i$, essentially requires in the classical limit that the spacetime metric is the…

General Relativity and Quantum Cosmology · Physics 2014-12-16 Shahn Majid , Wen-Qing Tao

In this letter we analyze the Hamiltonian formulation of the Jackiw-Teitelboim model of 2D gravity and calculate the central charge associated with the asymptotic symmetries, taking care of boundary terms. For black hole solutions, we show…

High Energy Physics - Theory · Physics 2007-05-23 G. Catelani , L. Vanzo

Although cosmological solutions to Einstein's equations are known to be generically singular, little is known about the nature of singularities in typical spacetimes. It is shown here how the operator splitting used in a particular…

General Relativity and Quantum Cosmology · Physics 2009-10-22 B. K. Berger , V. Moncrief

We present a generalisation of the charged C-metric conformally coupled with a scalar field in the presence of a cosmological constant. The solution is asymptotically flat or a constant curvature spacetime. The spacetime metric has the…

General Relativity and Quantum Cosmology · Physics 2009-09-29 C. Charmousis , T. Kolyvaris , E. Papantonopoulos

Mass and other conserved Noether charges are discussed for solutions of gravity theories with locally Anti-de Sitter asymptotics in 2n dimensions. The action is supplemented with a boundary term whose purpose is to guarantee that it reaches…

High Energy Physics - Theory · Physics 2009-10-31 Rodrigo Aros , Mauricio Contreras , Rodrigo Olea , Ricardo Troncoso , Jorge Zanelli

We use the formalism developed by Wald and Zoupas to derive explicit covariant expressions for the charges and fluxes associated with the Bondi-Metzner-Sachs symmetries at null infinity in asymptotically flat spacetimes in vacuum general…

General Relativity and Quantum Cosmology · Physics 2022-04-04 Alexander M. Grant , Kartik Prabhu , Ibrahim Shehzad

Static spherically symmetric solutions to the Einstein-Euler equations with prescribed central densities are known to exist, be unique and smooth for reasonable equations of state. Some criteria are also available to decide whether…

General Relativity and Quantum Cosmology · Physics 2019-03-01 Lars Andersson , Annegret Y. Burtscher

We analyze asymptotic properties of higher-dimensional vacuum spacetimes admitting a "non-degenerate" geodetic multiple WAND. After imposing a fall-off condition necessary for asymptotic flatness, we determine the behaviour of the Weyl…

General Relativity and Quantum Cosmology · Physics 2009-11-15 Marcello Ortaggio , Vojtech Pravda , Alena Pravdova

The Janis-Newman-Winicour spacetime corresponds to a static spherically symmetric solution of Einstein equations with the energy momentum tensor of a massless quintessence field. It is understood that the spacetime describes a naked…

General Relativity and Quantum Cosmology · Physics 2024-08-19 Changjun Gao , Jianhui Qiu

We compute the conserved charges associated with the asymptotic symmetries of massless particles by examining their free theory in Minkowski spacetime. We give a procedure to systematically deduce the fall off of the massless fields at…

High Energy Physics - Theory · Physics 2023-06-21 Kevin Nguyen , Peter West

A nonstatic and circularly symmetric exact solution of the Einstein equations (with a cosmological constant $\Lambda$ and null fluid) in $2+1$ dimensions is given. This is a nonstatic generalization of the uncharged spinless BTZ metric. For…

General Relativity and Quantum Cosmology · Physics 2009-10-22 K. S. Virbhadra

The renormalization of the vacuum energy in quantum field theory (QFT) is usually plagued with theoretical conundrums related not only with the renormalization procedure itself, but also with the fact that the final result leads usually to…

General Relativity and Quantum Cosmology · Physics 2023-03-21 Cristian Moreno-Pulido , Joan Sola Peracaula

In this paper we first show that within the Hamiltonian description of general relativity, the central charge of a near horizon asymptotic symmetry group is zero, and therefore that the entropy of the system cannot be estimated using…

High Energy Physics - Theory · Physics 2009-11-10 N. Pinamonti , L. Vanzo

Recently, spacetimes described by metrics with three parameters (mass, rotation and small quadrupole moment) was found, and in this paper, null geodesics for these metrics are calculated and visualized. Light scattering, as well as the role…

General Relativity and Quantum Cosmology · Physics 2017-12-08 Guillermo Andree Oliva-Mercado , Francisco Frutos-Alfaro , Javier Bonatti-González

In this paper we discuss the question of whether the entropy of cosmological horizon in some asymptotically de Sitter spaces can be described by the Cardy-Verlinde formula, which is supposed to be an entropy formula of conformal field…

High Energy Physics - Theory · Physics 2009-11-07 Rong-Gen Cai

We derive exact, asymptotically flat black hole solutions of Einstein-scalar gravity sourced by a non trivial scalar field with $1/r$ asymptotic behaviour. They are determined using an ansatz for the scalar field profile and working out,…

General Relativity and Quantum Cosmology · Physics 2015-05-20 Mariano Cadoni , Edgardo Franzin

We investigate the conserved quantities associated to Killing isometries for asymptotically AdS spacetimes within the framework of quadratic-curvature gravity. By constructing a rank-4 tensor possessing the same index symmetries as the ones…

General Relativity and Quantum Cosmology · Physics 2023-10-26 Jun-Jin Peng , Yao Wang , Wei-Jie Guo