An exact solution for uniformly accelerated particles in general relativity

1966 ◽  
Vol 2 (1) ◽  
pp. 59-70 ◽  
Author(s):  
N. S. Swaminarayan
Keyword(s):  
Exact Solution ◽  
General Relativity ◽  
Accelerated Particles

scholarly journals A type of Levi–Civita solution in modified Gauss–Bonnet gravity

2014 ◽  
Vol 92 (2) ◽  
pp. 173-176 ◽  
Author(s):  
M.E. Rodrigues ◽  
M.J.S. Houndjo ◽  
D. Momeni ◽  
R. Myrzakulov
Keyword(s):  
Exact Solution ◽  
General Relativity ◽  
Perfect Fluid ◽  
Cosmic String ◽  
Coupling Parameter ◽  
Vacuum Solution ◽  
Einstein Gravity ◽  
Parameter Family ◽  
Bonnet Gravity ◽  
Cylindrically Symmetric

Herein we obtain an exact solution for cylindrically symmetric modified Gauss–Bonnet gravity. This metric is a generalization of the vacuum solution of Levi–Civita in general relativity. It describes an isotropic perfect fluid one-parameter family of the gravitational configurations, which can be interpreted as the exterior metric of a cosmic string. By setting the Gauss–Bonnet coupling parameter to zero, we recover the vacuum solution in the Einstein gravity as well.

On Relativity, Time Reckoning, and the Topology of Time Series

2006 ◽  
Author(s):  
Roberto Torretti
Keyword(s):  
Time Series ◽  
Exact Solution ◽  
General Relativity ◽  
Special Relativity ◽  
Topological Structure ◽  
Big Bang ◽  
Philosophical Debate ◽  
History Of ◽  
Distant Simultaneity ◽  
Friedmann Solution

This chapter devotes equal attention to special relativity and general relativity. It first describes the history of the analysis of distant simultaneity, up to and including Einstein's procedure in his revolutionary 1905 paper which introduced special relativity. In particular, the discussion relates Einstein's procedure to the ensuing philosophical debate about whether distant simultaneity is a matter of convention. As to general relativity, the discussion gives a brief sketch of Einstein's path towards his discovery of general relativity. Thereafter, it focuses on the topological structure of time or, more precisely, of timelike lines (worldlines) in spacetime. It discusses the closed timelike lines first found in an exact solution of general relativity by Godel; and the open timelike geodesics that get arbitrarily close to the initial singularity (Big Bang) in a Friedmann solution.

scholarly journals Gravitational lensing in conformal and emergent gravity

2019 ◽  
Vol 206 ◽  
pp. 07002
Author(s):  
Yen-Kheng Lim ◽  
Qing-hai Wang
Keyword(s):  
Exact Solution ◽  
General Relativity ◽  
Gravitational Lensing ◽  
Conformal Gravity ◽  
Null Geodesics ◽  
Linear Coefficient ◽  
Emergent Gravity ◽  
Bending Of Light

The gravitational bending of light in the framework of conformal gravity is considered where an exact solution for null geodesics in the Mannheim-Kazanas is obtained. The linear coefficient γ characteristic to conformal gravity is shown to contribute enhanced deflection compared to the angle predicted by General Relativity for small γ. We also briefly consider gravitational lensing in covariant emergent gravity.

scholarly journals An Alternative to the Alcubierre Theory: Warp Fields by the Gravitation via Accelerated Particles Assertion

2016 ◽  
Vol 8 (5) ◽  
pp. 44
Author(s):  
Edward A. Walker
Keyword(s):  
General Relativity ◽  
Gravitational Field ◽  
Equilibrium Point ◽  
Space Time ◽  
Particle Accelerators ◽  
Field Equations ◽  
Time Curve ◽  
Published Paper ◽  
Accelerated Particles ◽  
Gravitational Equilibrium

<p class="1Body">A summarization of the Alcubierre metric is given in comparison to a new metric that has been formulated based on the theoretical assertion of a recently published paper entitled “gravitational space-time curve generation via accelerated particles”. The new metric mathematically describes a warp field where particle accelerators can theoretically generate gravitational space-time curves that compress or contract a volume of space-time toward a hypothetical vehicle traveling at a sub-light velocity contingent upon the amount of voltage generated. Einstein’s field equations are derived based on the new metric to show its compatibility to general relativity. The “time slowing” effects of relativistic gravitational time dilation inherent to the gravitational field generated by the particle accelerators is mathematically shown to be counteracted by a gravitational equilibrium point between an arrangement of two equal magnitude particle accelerators. The gravitational equilibrium point produces a volume of flat or linear space-time to which the hypothetical vehicle can traverse the region of contracted space-time without experiencing time slippage. The theoretical warp field possessing these attributes is referred to as the two gravity source warp field which is mathematically described by the new metric.</p>

Exact solution of a static charged sphere in general relativity

1969 ◽  
Vol 47 (21) ◽  
pp. 2401-2404 ◽  
Author(s):  
S. J. Wilson
Keyword(s):  
Exact Solution ◽  
General Relativity ◽  
Gravitational Constant ◽  
The Self ◽  
Spherically Symmetric ◽  
Charged Sphere ◽  
Field Equations ◽  
First Order ◽  
Self Energy ◽  
Spherically Symmetric Distribution

An exact solution of the field equations of general relativity is obtained for a static, spherically symmetric distribution of charge and mass which can be matched with the Reissner–Nordström metric at the boundary. The self-energy contributions to the total gravitational mass are computed retaining only the first order terms in the gravitational constant.

scholarly journals An Exact Model of an Anisotropic Relativistic Sphere

1995 ◽  
Vol 48 (4) ◽  
pp. 635 ◽  
Author(s):  
LK Patel ◽  
NP Mehta
Keyword(s):  
Exact Solution ◽  
General Relativity ◽  
Fluid Sphere ◽  
Anisotropic Fluid ◽  
Physical Parameters ◽  
Field Equations ◽  
Exterior Solution ◽  
Exact Model ◽  
Anisotropic Fluid Sphere

In this paper the field equations of general relativity are solved to obtain an exact solution for a static anisotropic fluid sphere. The solution is free from singularity and satisfies the necessary physical requirements. The physical 3-space of the solution is pseudo-spheroidal. The solution is matched at the boundary with the Schwarzschild exterior solution. Numerical estimates of various physical parameters are briefly discussed.

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