Test-particle motion in the nonsymmetric gravitation theory

Journal Article · Mon Jun 15 00:00:00 EDT 1987 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.35.3733· OSTI ID:5973726

Moffat, J W

A derivation of the motion of test particles in the nonsymmetric gravitational theory (NGT) is given using the field equations in the presence of matter. The motion of the particle is governed by the Christoffel symbols, which are formed from the symmetric part of the fundamental tensor g/sub ..mu..//sub ..nu../, as well as by a tensorial piece determined by the skew part of the contracted curvature tensor R/sub ..mu..//sub ..nu../. Given the energy-momentum tensor for a perfect fluid and the definition of a test particle in the NGT, the equations of motion follow from the conservation laws. The tensorial piece in the equations of motion describes a new force in nature that acts on the conserved charge in a body. Particles that carry this new charge do not follow geodesic world lines in the NGT, whereas photons do satisfy geodesic equations of motion and the equivalence principle of general relativity. Astronomical predictions, based on the exact static, spherically symmetric solution of the field equations in a vacuum and the test-particle equations of motion, are derived in detail. The maximally extended coordinates that remove the event-horizon singularities in the static, spherically symmetric solution are presented. It is shown how an inward radially falling test particle can be prevented from forming an event horizon for a value greater than a specified critical value of the source charge. If a test particle does fall through an event horizon, then it must continue to fall until it reaches the singularity at r = 0.

• Research Organization: Department of Physics, University of Toronto, Toronto, Ontario, Canada M5S 1A7
• OSTI ID: 5973726
• Journal Information: Phys. Rev. D; (United States), Vol. 35:12
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
TEST PARTICLES
GRAVITATIONAL INTERACTIONS
EINSTEIN FIELD EQUATIONS
ENERGY-MOMENTUM TENSOR
EQUATIONS OF MOTION
GENERAL RELATIVITY THEORY
GEODESY
VARIATIONAL METHODS
BASIC INTERACTIONS
DIFFERENTIAL EQUATIONS
EQUATIONS
FIELD EQUATIONS
FIELD THEORIES
INTERACTIONS
PARTIAL DIFFERENTIAL EQUATIONS
TENSORS
657003* - Theoretical & Mathematical Physics- Relativity & Gravitation