On exact solutions of the Einstein - Maxwell equations in the newman- penrose formalism

1976 ◽  
Vol 19 (7) ◽  
pp. 960-962 ◽  
Author(s):  
V. I. Khlebnlkov ◽  
A. �. Shelkovenko
Keyword(s):  
Exact Solutions ◽  
Maxwell Equations

Classes of Exact Solutions of the Einstein-Maxwell Equations

1983 ◽  
Vol 495 (4-5) ◽  
pp. 181-188 ◽  
Author(s):  
V. G. Bagrov ◽  
V. V. Obukhov
Keyword(s):  
Exact Solutions ◽  
Maxwell Equations

scholarly journals Higher-derivative heterotic Double Field Theory and classical double copy

2021 ◽  
Vol 2021 (7) ◽  
Author(s):  
Eric Lescano ◽  
Jesús A. Rodríguez
Keyword(s):  
Field Theory ◽  
Exact Solutions ◽  
Maxwell Equations ◽  
Action Principle ◽  
Low Energy ◽  
Gauge Fields ◽  
Metric Tensor ◽  
Higher Derivative ◽  
Double Field Theory ◽  
Double Copy

Abstract The generalized Kerr-Schild ansatz (GKSA) is a powerful tool for constructing exact solutions in Double Field Theory (DFT). In this paper we focus in the heterotic formulation of DFT, considering up to four-derivative terms in the action principle, while the field content is perturbed by the GKSA. We study the inclusion of the generalized version of the Green-Schwarz mechanism to this setup, in order to reproduce the low energy effective heterotic supergravity upon parametrization. This formalism reproduces higher-derivative heterotic background solutions where the metric tensor and Kalb-Ramond field are perturbed by a pair of null vectors. Next we study higher-derivative contributions to the classical double copy structure. After a suitable identification of the null vectors with a pair of U(1) gauge fields, the dynamics is given by a pair of Maxwell equations plus higher derivative corrections in agreement with the KLT relation.

EXACT SOLUTIONS OF THE EINSTEIN–MAXWELL EQUATIONS IN CHARGED PERFECT FLUID SPHERES FOR THE GENERALIZED TOLMAN–OPPENHEIMER–VOLKOFF EQUATIONS

2013 ◽  
Vol 22 (02) ◽  
pp. 1350009 ◽  
Author(s):  
LI ZOU ◽  
FANG-YU LI ◽  
HAO WEN
Keyword(s):  
Cosmological Constant ◽  
Exact Solutions ◽  
Perfect Fluid ◽  
Maxwell Equations ◽  
Constant Density ◽  
New Exact Solutions ◽  
First Time ◽  
Classical Constant ◽  
Fluid Spheres ◽  
Charged Case

Exact solutions of the Einstein–Maxwell equations for spherically symmetric charged perfect fluid have been broadly studied so far. However, the cases with a nonzero cosmological constant are seldom focused. In the present paper, the Tolman–Oppenheimer–Volkoff (TOV) equations have been generalized from the neutral case of hydrostatic equilibrium to the charged case of hydroelectrostatic equilibrium, and base on it, for the first time we find a series of new exact solutions of Einstein–Maxwell's equations with a nonzero cosmological constant for static charged perfect fluid spheres. Moreover, two special TOV equations and two classical constant density interior solutions are also given.

scholarly journals INSTABILITY OF THE BLACK HOLE HORIZON WITH RESPECT TO ELECTROMAGNETIC EXCITATIONS

2009 ◽  
Vol 18 (14) ◽  
pp. 2351-2356 ◽  
Author(s):  
ALEXANDER BURINSKII
Keyword(s):  
Black Hole ◽  
Exact Solutions ◽  
Maxwell Equations ◽  
Information Loss ◽  
Black Hole Horizon ◽  
Back Reaction ◽  
Vacuum Fluctuations

Analyzing exact solutions to the Einstein–Maxwell equations in the Kerr–Schild formalism, we show that the black hole horizon is unstable with respect to electromagnetic excitations. Contrary to perturbative smooth harmonic solutions, the exact solutions for electromagnetic excitations on the Kerr background are accompanied by singular beams which have very strong back-reaction to the metric and break the horizon, forming the holes which allow radiation to escape from the interior of the black hole. As a result, even the weak vacuum fluctuations break the horizon topologically, covering it by a set of fluctuating microholes. We conclude with a series of nontrivial consequences, one of which is that there is no information loss inside of the black hole.

scholarly journals Magnetic fields in spaces with VII0 x VIII isometries.

2000 ◽  
Vol 53 (3) ◽  
pp. 345 ◽  
Author(s):  
Ciprian Dariescu ◽  
Marina-Aura Dariescu
Keyword(s):  
Magnetic Fields ◽  
Exact Solutions ◽  
Vector Potential ◽  
Maxwell Equations ◽  
Pathological Features ◽  
Penrose Diagram ◽  
Lorentz Condition

The aim of the present paper is to investigate some globally pathological features of a class of static planary symmetric exact solutions with a G6-group of motion, namely with g44 = –sinh2 (αz), by means of the null oblique geodesics and Penrose diagram. Finally, we derive general expressions for the Aµ(x, y, z)µ=1,3― components of the vector potential, satisfying the source-free Maxwell equations and the Lorentz condition, pointing out the influence of the global pathological properties on the behaviour of magnetostatic fields in such universes.

scholarly journals EXACT SOLUTIONS OF THE PHOTON EQUATION IN ANISOTROPIC SPACETIMES

2005 ◽  
Vol 14 (06) ◽  
pp. 957-971 ◽  
Author(s):  
ALI HAVARE ◽  
MURAT KORUNUR ◽  
OKTAY AYDOGDU ◽  
MUSTAFA SALTI ◽  
TAYLAN YETKIN
Keyword(s):  
Harmonic Oscillator ◽  
Exact Solutions ◽  
Maxwell Equations ◽  
Bianchi I

In this paper we study the solution of the photon equation (the Massless Duffin–Kemmer–Petiau equation (mDKP)) in anisotropic expanding the Bianchi-I type spacetime using the Fourier analyze method. The harmonic oscillator behavior of the solutions is found. It is shown that Maxwell equations are equivalent to the photon equation.

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