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FIZIKA B 12 (2003) 4, 257 - 266
 
ANISOTROPIC FLUID DISTRIBUTION IN HIGHER-DIMENSIONAL ROSEN THEORY OF
GRAVITATION
G. S. KHADEKARa AND S. P. KANDALKARa,b
aDepartment of Mathematics, Nagpur University, Mahatma
Jyotiba Phule Educational Campus, Amravati Road, Nagpur - 440 010, India
e-mail: [email protected] and [email protected]
bDepartment of Mathematics, Government Institute of Science and Humanities,
Amravati, India
Received 10 June 2003; Accepted 8
December 2003
Online 19 April 2004
We have obtained static and spherically-symmetric solutions of the gravitational field
equations for isotropic and anisotropic distribution of matter in the context of
higher-dimensional bimetric theory of gravitation under the assumption that the physical
metric admits a one-parameter group of conformal motion. The solutions agree with
Einstein's general relativity for physical systems such as the solar system. This work is
an extension of the previous work of Shri Ram and Pandey (Astrophys. Space Sci. 127
(1986) 9) for four-dimensional space time.
PACS numbers: 04.20.Ex, 04.40.-b
UDC 530.12
Keywords: gravitational field equations, isotropic and anisotropic distribution of
matter, higher-dimensional bimetric theory, one-parameter group of conformal motion
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