Positivity of the Total Mass of a General Space-Time

1979 ◽  
Vol 43 (20) ◽  
pp. 1457-1459 ◽  
Author(s):  
Richard Schoen ◽  
Shing-Tung Yau
Keyword(s):  
Total Mass ◽  
Space Time ◽  
General Space

Brans-Dicke theory in general space-time with torsion

1986 ◽  
Vol 34 (4) ◽  
pp. 1011-1013 ◽  
Author(s):  
Sung-Won Kim
Keyword(s):  
Space Time ◽  
General Space

THE GRAVITOKINETIC FIELD AND THE ORBIT OF MERCURY

1966 ◽  
Vol 44 (5) ◽  
pp. 1147-1156 ◽  
Author(s):  
J. C. W. Scott
Keyword(s):  
Field Theory ◽  
Electromagnetic Field ◽  
Gravitational Field ◽  
Electromagnetic Force ◽  
Total Mass ◽  
Gravitational Force ◽  
Space Time ◽  
Red Shift ◽  
Null Results ◽  
Magnetic Components

A new Lorentz-invariant gravitational field theory is introduced according to which space–time is always flat. The gravitational field is of Maxwellian form with potential and kinetic components analogous to the electric and magnetic components of the electromagnetic field. New mathematical entities named scaled tensors are developed. While the electromagnetic force is represented by an unsealed tensor, the gravitational force is properly described by a scaled tensor. The precession of the orbit of the planet Mercury establishes the scale of the gravitational force as −5. Since the force on a body is found to be proportional to its total mass, the null results of Eötvös and Dicke are confirmed. However, the theory requires that the force depend on velocity so that new very small effects analogous to electromagnetic phenomena are predicted. In a following paper, "Photons in the Gravitational Field", the gravitational red shift and the gravitational deflection of a light ray are deduced correctly.

scholarly journals Einstein's equations and a cosmology with finite matter

2015 ◽  
Vol 30 (13) ◽  
pp. 1550068
Author(s):  
L. Clavelli ◽  
Gary R. Goldstein
Keyword(s):  
Infinite Number ◽  
Total Mass ◽  
Delta Function ◽  
Big Bang ◽  
Space Time ◽  
Matter Density ◽  
Einstein’S Equations ◽  
Einstein's Equations ◽  
The Big Bang

We discuss various space–time metrics which are compatible with Einstein's equations and a previously suggested cosmology with a finite total mass.1 In this alternative cosmology, the matter density was postulated to be a spatial delta function at the time of the big bang thereafter diffusing outward with constant total mass. This proposal explores a departure from standard assumptions that the big bang occurred everywhere at once or was just one of an infinite number of previous and later transitions.

scholarly journals General space-time clutter model for multi-channel airborne radar

2019 ◽  
Vol 2019 (20) ◽  
pp. 6434-6438
Author(s):  
Li Xinzhe ◽  
Xie Wenchong ◽  
Wang Yongliang ◽  
Ma Jie
Keyword(s):  
Space Time ◽  
Airborne Radar ◽  
General Space

scholarly journals Gauss' Theorem in a General Space-time

1935 ◽  
Vol 4 (3) ◽  
pp. 144-158 ◽  
Author(s):  
H. S. Ruse
Keyword(s):  
Gravitational Field ◽  
Total Mass ◽  
Gravitational Force ◽  
Line Element ◽  
Classical Mechanics ◽  
Closed Surface ◽  
General Space ◽  
Gauss Theorem ◽  
Image Position ◽  
Newtonian Constant

In classical mechanics Gauss' Theorem for a gravitational field states that, if S is a closed surface and N the component of gravitational force along the outward normal, thenwhere β is the Newtonian constant of gravitation and M is the total mass inside S. This result has recently been extended to general relativity by E. T. Whittaker,1 who, however, considered only the case of a statical gravitational field, the line-element of which is given by2where the coefficients U and αμν are independent of t. It is not immediately clear from his work whether the results are extensible to more general space-times.

Axially symmetric Petrov type II general space–time and closed timelike curves

2021 ◽  
Vol 36 (03) ◽  
pp. 2150017
Author(s):  
Bidyut Bikash Hazarika
Keyword(s):  
Vacuum Solution ◽  
Null Geodesic ◽  
Space Time ◽  
The Other ◽  
Petrov Type ◽  
Type Ii ◽  
Axially Symmetric ◽  
Closed Timelike Curves ◽  
General Space ◽  
Flat Solution

We present a Petrov type II general space–time which violates causality in the sense that it allows for the formation of closed timelike curves that appear after a definite instant of time. The metric, which is axially symmetric, admits an expansion-free, twist-free and shear-free null geodesic congruence. From the general metric, we obtain two particular type II metrics. One is a vacuum solution while the other represents a Ricci flat solution with a negative cosmological constant.

scholarly journals The Mass of Graviton and Its Relation to the Number of Information according to the Holographic Principle

2014 ◽  
Vol 2014 ◽  
pp. 1-8 ◽  
Author(s):  
Ioannis Haranas ◽  
Ioannis Gkigkitzis
Keyword(s):  
Deceleration Parameter ◽  
Total Mass ◽  
Space Time ◽  
Holographic Principle ◽  
Square Root ◽  
Graviton Mass ◽  
Euclidean Metric ◽  
Flat Universe ◽  
Basic Parameters ◽  
The Universe

We investigate the relation of the mass of the graviton to the number of information N in a flat universe. As a result we find that the mass of the graviton scales as mgr∝1/N. Furthermore, we find that the number of gravitons contained inside the observable horizon is directly proportional to the number of information N; that is, Ngr∝N. Similarly, the total mass of gravitons that exist in the universe is proportional to the number of information N; that is, Mgr∝N. In an effort to establish a relation between the graviton mass and the basic parameters of the universe, we find that the mass of the graviton is simply twice the Hubble mass mH as it is defined by Gerstein et al. (2003), times the square root of the quantity q-1/2, where q is the deceleration parameter of the universe. In relation to the geometry of the universe we find that the mass of the graviton varies according to the relation mgr∝Rsc, and therefore mgr obviously controls the geometry of the space time through a deviation of the geodesic spheres from the spheres of Euclidean metric.

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