A relativistic theory of charged particles in an electromagnetic and gravitational field

1956 ◽  
Vol 3 (3) ◽  
pp. 551-565 ◽  
Author(s):  
H. T. Flint ◽  
E. M. Williamson
Keyword(s):  
Gravitational Field ◽  
Relativistic Theory ◽  
Charged Particles

Scattering of gravitational waves by newtonian stars

1994 ◽  
Vol 444 (1921) ◽  
pp. 389-398 ◽  
Keyword(s):  
Gravitational Field ◽  
Eigenvalue Problem ◽  
Gravitational Waves ◽  
Potential Barrier ◽  
Relativistic Theory ◽  
Newtonian Theory ◽  
Physical Approach ◽  
Spacetime Curvature

The relativistic theory of non-radial oscillations of stars is based on the study of the scattering of gravitational waves by the potential barrier generated by the spacetime curvature. The corresponding newtonian theory is based on the solution of an eigenvalue problem associated to the relevant equations that couple the perturbations of the gravitational field with the perturbations of the fluid. In this paper we show that although the relativistic theory uses a completely different physical approach, when applied to newtonian theory. We show that the g, f, p -modes, that according to Cowling's classification are also coded in the gravitational field. We discuss the reason why the Characteristic damping time associated with the emission of gravitational waves is difficult to determine.

scholarly journals GALILEAN COVARIANCE AND THE GRAVITATIONAL FIELD

2009 ◽  
Vol 24 (28n29) ◽  
pp. 5287-5297 ◽  
Author(s):  
SÉRGIO C. ULHOA ◽  
FAQIR C. KHANNA ◽  
ADEMIR E. SANTANA
Keyword(s):  
Field Theory ◽  
General Relativity ◽  
Gravitational Field ◽  
Relativistic Theory ◽  
Galilei Group ◽  
Newtonian Approximation ◽  
Covariant Version ◽  
Galilean Covariance

This paper is concerned with the development of a gravitational field theory having locally a covariant version of the Galilei group. We show that this Galilean gravity can be used to study the advance of perihelion of a planet, following in parallel with the result of the (relativistic) theory of general relativity in the post-Newtonian approximation.

The Nordström theory

2018 ◽  
Author(s):  
Nathalie Deruelle ◽  
Jean-Philippe Uzan
Keyword(s):  
Gravitational Field ◽  
Scalar Field ◽  
Equivalence Principle ◽  
Charged Particles ◽  
Inertial Mass ◽  
Massless Scalar ◽  
Weak Equivalence ◽  
Massless Scalar Field ◽  
Particle Charge ◽  
Weak Equivalence Principle

This chapter turns to the description of the interaction of a scalar field with particles which ‘feel’—that is, ‘charged’ particles. If the field is massless, and therefore long-range, and if the particle charge corresponds to its inertial mass, we have what is known as Nordström theory, a coherent theory of gravity which, however, disagrees with experiment. Nordström theory describes gravity by means of a massless scalar field φ‎. According to the ‘weak equivalence principle’, gravitational masses are equal to inertial masses, m = mg. When velocities are small, the gravitational field created is also weak.

scholarly journals Cerenkov radiation emitted by charged particles in a gravitational field

1999 ◽  
Vol 16 (1) ◽  
pp. 291-298 ◽  
Author(s):  
Anshu Gupta ◽  
Subhendra Mohanty ◽  
Manoj K Sama
Keyword(s):  
Gravitational Field ◽  
Charged Particles ◽  
Cerenkov Radiation
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