Soliton solutions to the Einstein gravitational field equations in the presence of a spherically-symmetric static background field

1987 ◽  
Vol 139 (2) ◽  
pp. 311-320 ◽  
Author(s):  
P. C. W. Fung ◽  
F. Z. Tao
Keyword(s):  
Gravitational Field ◽  
Soliton Solutions ◽  
Background Field ◽  
Spherically Symmetric ◽  
Field Equations ◽  
Gravitational Field Equations ◽  
Static Background

scholarly journals Approximate Solutions of the Relativistic Gravitational Field Equations to Describe Clusters of Galaxies

1972 ◽  
Vol 25 (3) ◽  
pp. 299 ◽  
Author(s):  
MW Cook
Keyword(s):  
Gravitational Field ◽  
Approximate Solutions ◽  
Spherically Symmetric ◽  
Clusters Of Galaxies ◽  
Einstein Field Equations ◽  
Field Equations ◽  
Stellar Objects ◽  
Gravitational Field Equations ◽  
Local Fluctuations ◽  
Region 10

Approximate solutions to the Einstein field equations are found which describe a spherically symmetric inhomogeneity in a general Robertson?Walker model, i.e. one with an arbitrary equation of state. The approximation hypothesis is that the pressure deviates only slightly from uniformity, and it is found that the density may have quite large local fluctuations, e.g. by a factor of 106 over a region 10-2 Mpc in diameter. Reference is made to observed data to determine which categories of stellar objects may be described by the results.

Thermodynamics of traversable wormholes in f(R,T) gravity

2021 ◽  
pp. 2150175
Author(s):  
Mudassar Rehman ◽  
Khalid Saifullah
Keyword(s):  
Gravitational Field ◽  
Spherically Symmetric ◽  
Field Equations ◽  
Matter Coupling ◽  
Gravitational Field Equations ◽  
Traversable Wormholes ◽  
Local Coordinates ◽  
Stress Energy ◽  
Minimal Curvature ◽  
Trapping Horizons

In this paper, we discuss thermodynamics for spherically symmetric and static traversable wormholes which include Morris–Thorne wormholes and charged wormholes in the background of [Formula: see text] gravity. The local coordinates have been used to find trapping horizons of these objects and generalized surface gravity has been worked out on the trapping horizons. The expression for the unified first law has also been derived from the gradient of Misner–Sharp energy with the help of gravitational field equations and from this law the first law of wormhole dynamics has been obtained. We have done this analysis for the simplest case of [Formula: see text] gravity where [Formula: see text], [Formula: see text] and [Formula: see text] being the traces of the Ricci and stress–energy tensors. Also, we have extended these thermodynamic results to non-minimal curvature-matter coupling.

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