Spherical Gravitating Systems of Arbitrary Dimension

Details Spherical Gravitating Systems of Arbitrary Dimension Spherical Gravitating Systems of Arbitrary Dimension

2001-10-18

arxiv.org/abs/gr-qc/0110083v2

Prog.Theor.Phys. 108 (2002) 119-132

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

14 pages with one fugure. Uses AMS fonts and Prog. Theor. Phys. style files. Added section on neutron star and anisotropic flu

Scientific paper

10.1143/PTP.108.119

We study spherically symmetric solutions to the Einstein field equations under the assumption that the space-time may possess an arbitrary number of spatial dimensions. The general solution of Synge is extended to describe systems of any dimension. Arbitrary dimension analogues of known four dimensional solutions are also presented, derived using the above scheme. Finally, we discuss the requirements for the existence of Birkhoff's theorems in space-times of arbitrary dimension with or without matter fields present. Cases are discussed where the assumptions of the theorem are considerably weakened yet the theorem still holds. We also discuss where the weakening of certain conditions may cause the theorem to fail.

Affiliated with

Also associated with

No associations

Rating

Spherical Gravitating Systems of Arbitrary Dimension does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Spherical Gravitating Systems of Arbitrary Dimension, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Spherical Gravitating Systems of Arbitrary Dimension will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-283616