Spherically symmetric radiation of charge in Einstein-Maxwell theory

1970 ◽  
Vol 1 (2) ◽  
pp. 127-130 ◽  
Author(s):  
W. B. Bonnor ◽  
P. C. Vaidya
Keyword(s):  
Spherically Symmetric ◽  
Maxwell Theory

Charged solutions in higher dimensions

1992 ◽  
Vol 70 (9) ◽  
pp. 752-759
Author(s):  
K. D. Krori ◽  
T. Chaudhury ◽  
P. Borgohain ◽  
Kanika Das ◽  
Chandra Rekha Mahanta
Keyword(s):  
Higher Dimensions ◽  
Spherically Symmetric ◽  
Maxwell Theory ◽  
Anisotropic Solution ◽  
Isotropic Solution ◽  
Particular Solutions

In this paper we derive spherically symmetric interior isotropic and anisotropic solutions in higher dimensions in Einstein–Maxwell theory. Some particular solutions are obtained from the general isotropic solution. The anisotropic solution is Schwarzschild-like. It reduces to the Krori–Borgohain–Das solution if the charge is zero and to the Krori–Paul solution if the number of dimensions is four.

scholarly journals Regular and singular solutions for charged dust distributions in the Einstein-Maxwell theory

2007 ◽  
Vol 85 (9) ◽  
pp. 957-965
Author(s):  
D Horvat ◽  
S Ilijić
Keyword(s):  
Distinctive Feature ◽  
Total Mass ◽  
Singular Solutions ◽  
Charged Dust ◽  
Spherically Symmetric ◽  
Regular Solutions ◽  
Maxwell Theory ◽  
Metric Tensor ◽  
Net Charge ◽  
Adm Mass

Solutions for the static spherically symmetric extremally charged dust in the Majumdar–Papapetrou system have been found. For a certain amount of the allocated mass and (or) charge, the solutions have singularities of a type that could render them physically unacceptable, since the corresponding physically relevant quantities are singular as well. These solutions, with a number of zero-nodes in the metric tensor, are regularized through the δ-shell formalism, thus redefining the mass and (or) charge distributions. The bifurcating behaviour of regular solutions found before is no longer present in these singular solutions, but quantized-like behaviour in the total mass is observed. The spectrum of regularized solutions restores the equality of the Tolman–Whittaker and Arnowitt–Deser–Misner (ADM) mass, as well the equality of the net charge and ADM mass, which is the distinctive feature of Majumdar–Papapetrou systems.PACS No.:04.40.Nr

scholarly journals Spherically symmetric charged black holes with wavy scalar hair

2021 ◽  
Author(s):  
Yves Brihaye ◽  
Betti Hartmann
Keyword(s):  
Black Holes ◽  
Electromagnetic Coupling ◽  
Spherically Symmetric ◽  
Gravitational Coupling ◽  
The Novel ◽  
Maxwell Theory ◽  
Charged Black Holes ◽  
Scalar Hair ◽  
Complex Valued ◽  
Black Hole Solutions

Abstract We study standard Einstein-Maxwell theory minimally coupled to a complex valued and self-interacting scalar field. We demonstrate that new, previously unnoticed spherically symmetric, charged black hole solutions with scalar hair exist in this model for sufficiently large gravitational coupling and sufficiently small electromagnetic coupling. The novel scalar hair has the form of a spatially oscillating “wave packet” and back-reacts on the space-time such that both the Ricci and the Kretschmann scalar, respectively, possess qualitatively similar oscillations.

scholarly journals REDUCED PHASE SPACE QUANTIZATION OF SPHERICALLY SYMMETRIC EINSTEIN-MAXWELL THEORY INCLUDING A COSMOLOGICAL CONSTANT

1994 ◽  
Vol 03 (01) ◽  
pp. 293-298 ◽  
Author(s):  
T. Thiemann
Keyword(s):  
Phase Space ◽  
Quantum Gravity ◽  
Cosmological Constant ◽  
Electric Charge ◽  
Present Model ◽  
Geometrical Interpretation ◽  
Spherically Symmetric ◽  
Maxwell Theory ◽  
Canonical Variables ◽  
Symmetric Quantum

We present here the canonical treatment of spherically symmetric (quantum) gravity coupled to spherically symmetric Maxwell theory with or without a cosmological constant. The quantization is based on the reduced phase space which is coordinatized by the mass and the electric charge as well as their canonically conjugate momenta, whose geometrical interpretation is explored. The dimension of the reduced phase space depends on the topology chosen, quite similar to the case of pure (2+1) gravity. We also compare the reduced phase space quantization to the algebraic quantization. Altogether, we observe that the present model serves as an interesting testing ground for full (3+1) gravity. We use the new canonical variables introduced by Ashtekar which simplifies the analysis tremendously.

scholarly journals Towards the black hole uniqueness: transverse deformations of the extremal Reissner-Nordström-(A)dS horizon

2022 ◽  
Vol 2022 (1) ◽  
Author(s):  
Maciej Kolanowski
Keyword(s):  
Black Hole ◽  
Spherically Symmetric ◽  
Maxwell Theory ◽  
Finite Dimensional ◽  
A Charge

Abstract We study all transverse deformations of the extremal Reissner-Nordström–(A)dS horizon in the Einstein-Maxwell theory. No symmetry assumptions are needed. It is shown, that for the generic values of a charge, the only allowed deformation is spherically symmetric. However, it is shown that for fine-tuned values of the charge, the space of deformations is larger, yet still finite-dimensional.

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