Federico Elizondo Lopez, Hari K. Kunduri, Hakim Temacini
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引用次数: 0
Abstract
Chen and Teo have constructed a two-parameter family of five dimensional, stationary vacuum black hole solutions whose spatial hypersurfaces are asymptotically locally Euclidean with boundary at infinity L(2, 1). Spatial cross sections of the event horizon have topology \(S^3\) equipped with inhomogeneous metrics. When the mass is zero, the solution reduces to the trivial product of time with the Eguchi-Hanson gravitational instanton. We show that the spacetime metric can be smoothly extended through an event horizon and that the exterior region is stably causal. We also investigate their geometric and physical properties. In particular, we show that the Smarr relation and first law of black hole mechanics hold and compute the renormalized gravitational action.
Chen and Teo have constructed a two-parameter family of five dimensional, stationary vacuum black hole solutions whose spatial hypersurfaces are asymptotically locally Euclidean with boundary at infinity L(2, 1). Spatial cross sections of the event horizon have topology S3\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$S^3$$\end{document} equipped with inhomogeneous metrics. When the mass is zero, the solution reduces to the trivial product of time with the Eguchi-Hanson gravitational instanton. We show that the spacetime metric can be smoothly extended through an event horizon and that the exterior region is stably causal. We also investigate their geometric and physical properties. In particular, we show that the Smarr relation and first law of black hole mechanics hold and compute the renormalized gravitational action.
期刊介绍：
General Relativity and Gravitation is a journal devoted to all aspects of modern gravitational science, and published under the auspices of the International Society on General Relativity and Gravitation.
It welcomes in particular original articles on the following topics of current research:
Analytical general relativity, including its interface with geometrical analysis
Numerical relativity
Theoretical and observational cosmology
Relativistic astrophysics
Gravitational waves: data analysis, astrophysical sources and detector science
Extensions of general relativity
Supergravity
Gravitational aspects of string theory and its extensions
Quantum gravity: canonical approaches, in particular loop quantum gravity, and path integral approaches, in particular spin foams, Regge calculus and dynamical triangulations
Quantum field theory in curved spacetime
Non-commutative geometry and gravitation
Experimental gravity, in particular tests of general relativity
The journal publishes articles on all theoretical and experimental aspects of modern general relativity and gravitation, as well as book reviews and historical articles of special interest.
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