RELATIVISTIC THEORY OF GRAVITY

1988 ◽  
Vol 03 (09) ◽  
pp. 2067-2099 ◽  
Author(s):  
A.A. LOGUNOV ◽  
YU. M. LOSKUTOV ◽  
M.A. MESTVIRISHVILI
Keyword(s):  
Relativistic Theory ◽  
Critical Analysis ◽  
Relativity Theory ◽  
General Relativity Theory ◽  
Relativistic Theory Of Gravity ◽  
Theory Of Gravitation ◽  
Physical Fields ◽  
Fundamental Physical ◽  
Universe Evolution ◽  
Physical Principles

This paper presents a brief critical analysis of General Relativity Theory (GRT). It is shown that the theory, if accepted, leads to repudiation of a number of fundamental principles underlying physics. The article also presents the construction of Relativistic Theory of Gravitation (RTG) in which the gravitational field possesses all the attributes of physical fields and which concurs completely with the fundamental physical principles as well as with the available experimental and observational facts. It also considers the consequences of RTG, dealing, in particular, with the development of collapse and Universe evolution.

scholarly journals Universality of the Einstein theory of gravitation

2016 ◽  
Vol 13 (08) ◽  
pp. 1640008 ◽  
Author(s):  
Jerzy Kijowski
Keyword(s):  
General Relativity ◽  
Variational Problems ◽  
Relativity Theory ◽  
General Relativity Theory ◽  
Einstein Theory ◽  
Metric Tensor ◽  
New Approach ◽  
Theory Of Gravitation ◽  
Tensor Formula ◽  
Matter Fields

We show that generalizations of general relativity theory, which consist in replacing the Hilbert Lagrangian [Formula: see text] by a generic scalar density [Formula: see text] depending upon the metric [Formula: see text] and the curvature tensor [Formula: see text], are equivalent to the conventional Einstein theory for a (possibly) different metric tensor [Formula: see text] and (possibly) a different set of matter fields. The simple proof of this theorem relies on a new approach to variational problems containing metric and connection.

scholarly journals Nonlocal Gravitomagnetism

Universe ◽  
2019 ◽  
Vol 5 (9) ◽  
pp. 195 ◽  
Author(s):  
Mashhoon ◽  
Hehl
Keyword(s):  
Slow Motion ◽  
Weak Field ◽  
Relativity Theory ◽  
Current Status ◽  
General Relativity Theory ◽  
Differential Field ◽  
Gravitomagnetic Field ◽  
Motion Approximation ◽  
Theory Of Gravitation ◽  
Stationary Gravitational Field

We briefly review the current status of nonlocal gravity (NLG), which is a classical nonlocalgeneralization of Einstein’s theory of gravitation based on a certain analogy with the nonlocalelectrodynamics of media. Nonlocal gravity thus involves integro-differential field equationsand a causal constitutive kernel that should ultimately be determined from observational data.We consider the stationary gravitational field of an isolated rotating astronomical source in the linearapproximation of nonlocal gravity. In this weak-field and slow-motion approximation of NLG,we describe the gravitomagnetic field associated with the rotating source and compare our resultswith gravitoelectromagnetism (GEM) of the standard general relativity theory. Moreover, we brieflystudy the energy-momentum content of the GEM field in nonlocal gravity.

scholarly journals A relativistic theory of the field II: Hamilton's principle and Bianchi's identities

2021 ◽  
Vol 24 (3) ◽  
pp. 12-24
Author(s):  
Mississippi Valenzuela
Keyword(s):  
General Relativity ◽  
Variational Principle ◽  
Long Range ◽  
Relativistic Theory ◽  
Relativity Theory ◽  
Field Equations ◽  
General Relativity Theory ◽  
Current Formulation ◽  
Long Range Interactions ◽  
Gravitational Equations

As gravitation and electromagnetism are closely analogous long-range interactions, and the current formulation of gravitation is given in terms of geometry. Thence emerges a relativistic theory of the field by generalization of the general relativity. The derivation presented shows how naturally we can extend general relativity theory to a non-symmetric field, and that the field-equations are really the generalizations of the gravitational equations. With curvature tensor and the variational principle, we will deduce the field equations and Bianchi's identities. In consecuense, the field equations will find from Bianchi's identities.

scholarly journals BIANCHI I SOLUTIONS OF EFFECTIVE QUADRATIC GRAVITY

2012 ◽  
Vol 21 (04) ◽  
pp. 1250037 ◽  
Author(s):  
DANIEL MÜLLER ◽  
JULIANO A. DE DEUS
Keyword(s):  
Numerical Solutions ◽  
Relativity Theory ◽  
De Sitter ◽  
General Relativity Theory ◽  
Spatial Metrics ◽  
Effective Gravity ◽  
Bianchi I ◽  
Quadratic Theory ◽  
Quadratic Gravity ◽  
Planck Time

It is believed that soon after the Planck time, Einstein's general relativity theory should be corrected to an effective quadratic theory. Numerical solutions for the anisotropic generalization of the Friedmann "flat" model E3 for this effective gravity are given. It must be emphasized that although numeric, these solutions are exact in the sense that they depend only on the precision of the machine. The solutions are identified asymptotically in a certain sense. It is found solutions which asymptote de Sitter space, Minkowski space and a singularity. This work is a generalization for nondiagonal spatial metrics of a previous result obtained by one of us and a collaborator for Bianchi I spaces.

Sign in / Sign up

Export Citation Format

Share Document