Axially symmetric stationary solutions of Einstein-Maxwell equations

1978 ◽  
Vol 9 (9) ◽  
pp. 845-855 ◽  
Author(s):  
K. C. Das ◽  
S. Banerji
Keyword(s):  
Maxwell Equations ◽  
Stationary Solutions ◽  
Axially Symmetric

scholarly journals Nonassociative black ellipsoids distorted by R-fluxes and four dimensional thin locally anisotropic accretion disks

2021 ◽  
Vol 81 (12) ◽  
Author(s):  
Laurenţiu Bubuianu ◽  
Sergiu I. Vacaru ◽  
Elşen Veli Veliev
Keyword(s):  
Accretion Disks ◽  
Ricci Tensor ◽  
Stationary Solutions ◽  
Star Products ◽  
Axially Symmetric ◽  
Deformation Method ◽  
Parametric Solutions ◽  
Symmetric Metrics ◽  
Cosmological Constants ◽  
Tangent Bundles

AbstractWe construct nonassociative quasi-stationary solutions describing deformations of Schwarzschild black holes, BHs, to ellipsoid configurations, which can be black ellipsoids, BEs, and/or BHs with ellipsoidal accretion disks. Such solutions are defined by generic off-diagonal symmetric metrics and nonsymmetric components of metrics (which are zero on base four dimensional, 4-d, Lorentz manifold spacetimes but nontrivial in respective 8-d total (co) tangent bundles). Distorted nonassociative BH and BE solutions are found for effective real sources with terms proportional to $$\hbar \kappa $$ ħ κ (for respective Planck and string constants). These sources and related effective nontrivial cosmological constants are determined by nonlinear symmetries and deformations of the Ricci tensor by nonholonomic star products encoding R-flux contributions from string theory. To generate various classes of (non) associative /commutative distorted solutions we generalize and apply the anholonomic frame and connection deformation method for constructing exact and parametric solutions in modified gravity and/or general relativity theories. We study properties of locally anisotropic relativistic, optically thick, could and thin accretion disks around nonassociative distorted BHs, or BEs, when the effects due to the rotation are negligible. Such configurations describe angular anisotropic deformations of axially symmetric astrophysical models when the nonassociative distortions are related to the outer parts of the accretion disks.

A class of exact interior solutions of the Einstein-Maxwell equations

1977 ◽  
Vol 353 (1675) ◽  
pp. 523-531 ◽  
Keyword(s):  
Angular Velocity ◽  
Laplace Equation ◽  
Maxwell Equations ◽  
Flat Space ◽  
Stationary Solutions ◽  
Constant Angular Velocity ◽  
Arbitrary Solution ◽  
Charged Matter ◽  
Axis Of Symmetry ◽  
Interior Solutions

A class of exact interior stationary solutions of the Einstein-Maxwell equations is found in terms of an arbitrary solution of the flat-space Laplace equation. These solutions represent pressure-free charged matter rotating with constant angular velocity about an axis of symmetry. Some properties of the solution are discussed.

A solution of the stationary axially symmetric Brans-Dicke-Maxwell equations

1981 ◽  
Vol 85 (6-7) ◽  
pp. 316-318
Author(s):  
K.D. Krori ◽  
T. Chaudhury ◽  
R. Bhattacharjee ◽  
B.B. Paul
Keyword(s):  
Maxwell Equations ◽  
Axially Symmetric
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