scholarly journals A GRAVITATIONAL FIELD EQUATION WITH HIGHER ORDER DERIVATIVES AND IT'S SPHERICALLY SYMMETRIC STATIC SOLUTIONS

1979 ◽  
Vol 28 (5) ◽  
pp. 143
Author(s):  
SHEY YONG-CHENG
Keyword(s):  
Gravitational Field ◽  
Field Equation ◽  
Higher Order ◽  
Spherically Symmetric ◽  
Gravitational Field Equation ◽  
Static Solutions

A new higher-order gravitational field equation withL =R +? R �vR�v / R +?R ????R???? / R

1992 ◽  
Vol 5 (4) ◽  
pp. 365-371 ◽  
Author(s):  
Chongming Xu ◽  
G. F. R. Ellis
Keyword(s):  
Gravitational Field ◽  
Field Equation ◽  
Higher Order ◽  
Gravitational Field Equation

scholarly journals Einstein-aether theory in Weyl integrable geometry

2020 ◽  
Vol 80 (12) ◽  
Author(s):  
Andronikos Paliathanasis ◽  
Genly Leon ◽  
John D. Barrow
Keyword(s):  
Gravitational Field ◽  
Field Equation ◽  
Scalar Field ◽  
Field Model ◽  
Affine Connection ◽  
Dynamical Evolution ◽  
Field Equations ◽  
Gravitational Field Equation ◽  
Gravitational Field Equations ◽  
Geometric Origin

AbstractWe study the Einstein-aether theory in Weyl integrable geometry. The scalar field which defines the Weyl affine connection is introduced in the gravitational field equation. We end up with an Einstein-aether scalar field model where the interaction between the scalar field and the aether field has a geometric origin. The scalar field plays a significant role in the evolution of the gravitational field equations. We focus our study on the case of homogeneous and isotropic background spacetimes and study their dynamical evolution for various cosmological models.

A gravitational-field equation for quantum gravity

1979 ◽  
Vol 53 (1) ◽  
pp. 91-94
Author(s):  
M. Carmeli
Keyword(s):  
Gravitational Field ◽  
Field Equation ◽  
Quantum Gravity ◽  
Gravitational Field Equation

Spherically symmetric static matter configurations with vanishing radial pressure

2014 ◽  
Vol 24 (01) ◽  
pp. 1550002 ◽  
Author(s):  
S. Thirukkanesh ◽  
M. Govender ◽  
D. B. Lortan
Keyword(s):  
Gravitational Field ◽  
Radial Pressure ◽  
Constant Density ◽  
Spherically Symmetric ◽  
Einstein Field Equations ◽  
Field Equations ◽  
New Family ◽  
Generating Method ◽  
Static Solutions ◽  
Special Case

We present a new family of spherically symmetric, static solutions of the Einstein field equations in isotropic, comoving coordinates. The radial pressure at each interior point of these models vanishes yet equilibrium is still possible. The constant density Florides solution which describes the gravitational field inside an Einstein cluster is obtained as a special case of our solution-generating method. We show that our solutions can be utilized to model strange star candidates such as Her. X-1, SAX J1808.4-3658(SS2), SAX J1808.4-3658(SS1) and PSR J1614-2230.

Field Equation of Nonlocal Gravity

2017 ◽  
Author(s):  
Bahram Mashhoon
Keyword(s):  
General Relativity ◽  
Dark Matter ◽  
Gravitational Field ◽  
Field Equation ◽  
Abelian Group ◽  
Gravitational Field Equation ◽  
Differential Field ◽  
Einstein's Equation ◽  
Future Theory ◽  
World Function

In extended general relativity (GR), Einstein’s field equation of GR can be expressed in terms of torsion and this leads to the teleparallel equivalent of GR, namely, GR||, which turns out to be the gauge theory of the Abelian group of spacetime translations. The structure of this theory resembles Maxwell’s electrodynamics. We use this analogy and the world function to develop a nonlocal GR|| via the introduction of a causal scalar constitutive kernel. It is possible to express the nonlocal gravitational field equation as modified Einstein’s equation. In this nonlocal gravity (NLG) theory, the gravitational field is local, but satisfies a partial integro-differential field equation. The field equation of NLG can be expressed as Einstein’s field equation with an extra source that has the interpretation of the effective dark matter. It is possible that the kernel of NLG, which is largely undetermined, could be derived from a more general future theory.

scholarly journals Deriving the gravitational field equation and horizon entropy for arbitrary diffeomorphism-invariant gravity from a spacetime solid

2010 ◽  
Vol 81 (4) ◽  
Author(s):  
Shao-Feng Wu ◽  
Bin Wang ◽  
Xian-Hui Ge ◽  
Guo-Hong Yang
Keyword(s):  
Gravitational Field ◽  
Field Equation ◽  
Gravitational Field Equation ◽  
Horizon Entropy
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