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Journal ArticleDOI

Rotating, charged, and uniformly accelerating mass in general relativity

Jerzy F. Plebański, +1 more
- 01 May 1976 - 
- Vol. 98, Iss: 1, pp 98-127
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TLDR
In this paper, a new general class of solutions of the Einstein-Maxwell equations is presented, which is based on seven arbitrary parameters that group in a natural way into three complex parameters m + in, a + ib, e + ig, and the cosmological constant λ.
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This article is published in Annals of Physics.The article was published on 1976-05-01. It has received 746 citations till now. The article focuses on the topics: Mass in general relativity & Field (physics).

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Thermodynamics of Kerr-Newman-AdS black holes and conformal field theories

TL;DR: In this paper, the authors studied the thermodynamics of four-dimensional Kerr-Newman-AdS black holes both in the canonical and the grand-canonical Ensembles.
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Thermodynamics of Asymptotically Locally AdS Spacetimes

TL;DR: In this article, the variational problem for AdS gravity with Dirichlet boundary conditions was formulated and the covariant counterterms were shown to be necessary to make the problem well-posed.
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Photon Regions and Shadows of Kerr-Newman-NUT Black Holes with a Cosmological Constant

TL;DR: In this article, the authors derived an analytical formula for the shadow of a Kerr-Newman-NUT-anti-de Sitter black hole for an observer at given Boyer-Lindquist coordinates in the domain of outer communication.
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Toric Sasaki-Einstein metrics on S2 × S3

TL;DR: In this paper, it was shown that a family of local toric Kahler-Einstein metrics can be obtained by taking a certain scaling limit of a Euclideanised form of the Plebanski-Demianski metrics.
References
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Journal ArticleDOI

Hamilton-Jacobi and Schrödinger separable solutions of Einstein's equations

TL;DR: In this article, the Hamilton-Jacobi equation for the geodesies is solved by separation of variables in such a way that a certain natural canonical orthonormal tetrad is determined.
Journal ArticleDOI

Metric of a Rotating, Charged Mass

TL;DR: In this article, a new solution of the Einstein-Maxwell equations is presented, which has certain characteristics that correspond to a rotating ring of mass and charge, similar to the one described in this paper.
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Empty space-times admitting a three parameter group of motions

TL;DR: In this paper, it is shown that if T, = 0 and there are no singularities anywhere in the g9, then equations (1.1) which take the form of second order partial differential equations for the g, and their solutions involve arbitrary functions which are to be determined from physical data expressed as initial values or boundary conditions.
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