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Unformatted text preview: Motion of a Charged Particle in a Nonsymmetrical Gravitational Theory S. M. Saydur Rahman Department of Physics University of Cincinnati Cincinnati, Ohio 45221 December 3, 2001 Abstract A new theory of gravity in which the geometry of spacetime has a nonsymmetric field structure is described here. The combined electromagnetic and gravitational field in this theory maintain the validity of the weak equivalance principle. The field equations of the nonsymmetric gravitational theory are derived by considering the presence of electromagnetic magnetic field by adopting a nonminimal coupling, which ensures the validity of equivalance principle. The static, spherically symmetric solution of a charged point particle is also obtained. 1 1 Introduction In 1979 Moffat [1] studied the nonsymmetrical gravitational theory (NGT). Soon after establishing the NGT, Moffat studied the field produced by an electric charge [2] adopting a minimal coupling of the electromagnetic field to gravitation. In 1989 Will [3] pointed that such a coupling violates the weak equivalance principle (WEP) because it predicts that the test body gravitational acceleration depends upon its internal structure. Then by writing a more general coupling, Mann et al. [4] were to able to maintain the validity of the WEP. In this paper we have studied the field of a charge particle in a nonsymmetric gravitational theory, by using the Lagrangian given by Mann et al[4] and Ragusa [5]. In sec2 we first study the consequences of this more general coupling on the electromagnatic field equations and corresponding energymomentum tensor. In sec3 we study the field produced by an electric charge in the new scheme. 2 The electromagnatic action The electromagnetic action given by Mann et al. is, I em = 1 16 Z d 4 x  gfg g [ ZF F + (1 Z ) F F + Y F F ] (1) where, F = A  A , is the electromagnetic field tensor (with vector potential A )....
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 Fall '11
 Electrodynamics
 Charge, Gravity

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