New Five Dimensional Spherical Vacuum Solutions

Details New Five Dimensional Spherical Vacuum Solutions New Five Dimensional Spherical Vacuum Solutions

2009-01-15

arxiv.org/abs/0901.2307v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

16 pages of astrophysicists nightmare, relativists delight

Scientific paper

A new five dimensional spherical vacuum solution is both dervied and its signature, curvature and truncation discussed. Its truncation leads to a four dimensional spacetime with similiar stress to those found by charge-free Kaluza-Klein compactification. Various other restrictions to four dimensions are looked at to see if they have stresses consisting of electromagnetic fields or quadratic tensors. The solution is extended to the brane picture where the extended space is found to obey field equations with metric stress derivable from a lagrangian dependent on brane function and kaluza scalar.

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