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.

GENERAL RELATIVITY AND SECTIONAL CURVATURE

2006 ◽  
Vol 03 (05n06) ◽  
pp. 1077-1087
Author(s):  
G. S. HALL
Keyword(s):  
General Relativity ◽  
Vector Field ◽  
Sectional Curvature ◽  
Relativity Theory ◽  
Curvature Function ◽  
Smooth Vector ◽  
General Relativity Theory ◽  
Metric Tensor ◽  
Algebraic Properties ◽  
Einstein’S General Relativity

A discussion is given of the sectional curvature function on a four-dimensional Lorentz manifold and, in particular, on the space–time of Einstein's general relativity theory. Its tight relationship to the metric tensor is demonstrated and some of its geometrical and algebraic properties evaluated. The concept of a sectional curvature preserving symmetry, in the form of a certain smooth vector field, is introduced and discussed.

scholarly journals Vaidya solutions in general covariant Hořava–Lifshitz gravity without projectability: Infrared limit

2014 ◽  
Vol 23 (08) ◽  
pp. 1450068 ◽  
Author(s):  
O. Goldoni ◽  
M. F. A. da Silva ◽  
G. Pinheiro ◽  
R. Chan
Keyword(s):  
General Relativity ◽  
Gauge Field ◽  
Radiation Field ◽  
Relativity Theory ◽  
Covariant Theory ◽  
Spherically Symmetric ◽  
Theory U ◽  
General Relativity Theory ◽  
Infrared Limit ◽  
Symmetric Spacetime

In this paper, we have studied nonstationary radiative spherically symmetric spacetime, in general covariant theory (U(1) extension) of Hořava–Lifshitz (HL) gravity without the projectability condition and in the infrared (IR) limit. The Newtonian prepotential φ was assumed null. We have shown that there is not the analogue of the Vaidya's solution in the Hořava–Lifshitz Theory (HLT), as we know in the General Relativity Theory (GRT). Therefore, we conclude that the gauge field A should interact with the null radiation field of the Vaidya's spacetime in the HLT.

Propagators and commutators in general relativity

1962 ◽  
Vol 270 (1342) ◽  
pp. 342-345 ◽  
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
General Relativity ◽  
Relativity Theory ◽  
Quantum Field ◽  
General Relativity Theory ◽  
Free Fields

In this contribution, my purpose is to study a new mathematical instrument introduced by me in 1958-9: the tensor and spinor propagators. These propagators are extensions of the scalar propagator of Jordan-Pauli which plays an important part in quantum-field theory. It is possible to construct, with these propagators, commutators and anticommutators for the various free fields, in the framework of general relativity theory (see Lichnerowicz 1959 a, b, c , 1960, 1961 a, b, c ; and for an independent introduction of propagators DeWitt & Brehme 1960).

Seventeen Simple Lectures on General Relativity Theory

1983 ◽  
Vol 51 (1) ◽  
pp. 92-93 ◽  
Author(s):  
H. A. Buchdahl ◽  
Daniel M. Greenberger
Keyword(s):  
General Relativity ◽  
Relativity Theory ◽  
General Relativity Theory
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