Gravitational interaction of two spinning particles in general relativity. II

1984 ◽  
Vol 16 (3) ◽  
pp. 225-242 ◽  
Author(s):  
J. Ibañez ◽  
J. Martin ◽  
E. Ruiz
Keyword(s):  
General Relativity ◽  
Gravitational Interaction ◽  
Spinning Particles

scholarly journals ON POSSIBLE GEOMETRIC AND ASTROPHYSICAL EFFECTS OF NONLINEAR SPINOR FIELDS IN THE MEGAMIR, MACROWORLD AND MICROWORLD

Metaphysics ◽  
2020 ◽  
pp. 82-93
Author(s):  
V. G Krechet
Keyword(s):  
General Relativity ◽  
Gravitational Interaction ◽  
Space Time ◽  
Elementary Particles ◽  
Nonlinear Spinor ◽  
Evolution Of The Universe ◽  
Spinor Fields ◽  
Astrophysical Objects ◽  
Local Space ◽  
The Universe

In this article, within the framework of general relativity, the possible effect of the gravitational interaction of Dirac nonlinear spinor fields on the evolution of the Universe, on the formation of astrophysical objects and on the formation of the geometry of the local space-time of elementary particles with spin ħ / 2 is considered.

The center of trace in spinning particles in General Relativity

1995 ◽  
Vol 27 (2) ◽  
pp. 163-169 ◽  
Author(s):  
Silvestre Ragusa ◽  
M. Bailyn
Keyword(s):  
General Relativity ◽  
Spinning Particles

Spinning particles in general relativity

1994 ◽  
Vol 98 (3) ◽  
pp. 317-325 ◽  
Author(s):  
Rachel H. Rietdijk
Keyword(s):  
General Relativity ◽  
Spinning Particles

scholarly journals The Geometrical Trinity of Gravity

Universe ◽  
2019 ◽  
Vol 5 (7) ◽  
pp. 173 ◽  
Author(s):  
Jose Beltrán Jiménez ◽  
Lavinia Heisenberg ◽  
Tomi Koivisto
Keyword(s):  
General Relativity ◽  
Equivalence Principle ◽  
Gravitational Interaction ◽  
Standard Interpretation ◽  
Underlying Theory ◽  
Spacetime Curvature ◽  
Flat Spacetimes

The geometrical nature of gravity emerges from the universality dictated by the equivalence principle. In the usual formulation of General Relativity, the geometrisation of the gravitational interaction is performed in terms of the spacetime curvature, which is now the standard interpretation of gravity. However, this is not the only possibility. In these notes, we discuss two alternative, though equivalent, formulations of General Relativity in flat spacetimes, in which gravity is fully ascribed either to torsion or to non-metricity, thus putting forward the existence of three seemingly unrelated representations of the same underlying theory. Based on these three alternative formulations of General Relativity, we then discuss some extensions.

Fundamentals of numerical relativity for gravitational wave sources

Science ◽  
2018 ◽  
Vol 361 (6400) ◽  
pp. 366-371 ◽  
Author(s):  
Bernd Brügmann
Keyword(s):  
General Relativity ◽  
Partial Differential Equations ◽  
Gravitational Wave ◽  
Tensor Field ◽  
Body Problem ◽  
Numerical Relativity ◽  
Gravitational Interaction ◽  
Einstein Equations ◽  
Two Body Problem ◽  
General Relativistic

Einstein’s theory of general relativity affords an enormously successful description of gravity. The theory encodes the gravitational interaction in the metric, a tensor field on spacetime that satisfies partial differential equations known as the Einstein equations. This review introduces some of the fundamental concepts of numerical relativity—solving the Einstein equations on the computer—in simple terms. As a primary example, we consider the solution of the general relativistic two-body problem, which features prominently in the new field of gravitational wave astronomy.

Energy transfer by gravitation in Newtonian theory

1960 ◽  
Vol 56 (4) ◽  
pp. 410-413 ◽  
Author(s):  
H. Bondi ◽  
W. H. McCrea
Keyword(s):  
General Relativity ◽  
Energy Transfer ◽  
Potential Energy ◽  
Gravitational Interaction ◽  
Empty Space ◽  
Relativity Theory ◽  
Gravitational Potential Energy ◽  
Mathematical Treatment ◽  
General Relativity Theory ◽  
Newtonian Theory

ABSTRACTThe problem is considered as to whether, in accordance with Newtonian theory, energy can be transferred from one system to another across empty space by gravitational interaction alone. Familiar examples of apparent energy transfer by this means do not give an unambiguous answer since they involve some net change of gravitational potential energy and this is not localized in the theory. Two examples are given here of systems in which the potential energy is the same at the beginning and end of an operation that does produce a resultant energy transfer. The establishment of this result is significant as a preliminary to the discussion of energy transfer according to general relativity theory. The appendix gives a particular illustration of one of the examples that admits exact mathematical treatment.

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