J Ponce de Leon 2006 Class. Quantum Grav. 23 3043 doi:10.1088/0264-9381/23/9/017
Extra symmetry in the field equations in 5D with spatial spherical symmetry
J Ponce de Leon
Show affiliationsWe point out that the field equations in 5D, with spatial spherical symmetry, possess an extra symmetry that leaves them invariant. This symmetry corresponds to certain simultaneous interchange of coordinates and metric coefficients. As a consequence, a single solution in 5D can generate very different scenarios in 4D, ranging from static configurations to cosmological situations. A new perspective emanates from our work, namely, that different astrophysical and cosmological scenarios in 4D might correspond to the same physics in 5D. We present explicit examples that illustrate this point of view.
- PACS
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04.50.-h Higher-dimensional gravity and other theories of gravity
04.20.Cv Fundamental problems and general formalism
11.30.-j Symmetry and conservation laws
04.20.Gz Spacetime topology, causal structure, spinor structure
- MSC
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83C05 Einstein's equations (general structure, canonical formalism, Cauchy problems)
83E15 Kaluza-Klein and other higher-dimensional theories
81T30 String and superstring theories; other extended objects (e.g., branes) (See also 83E30)
- Subjects
- Dates
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Issue 9 (7 May 2006)
Received 12 December 2005
Published 4 April 2006
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Extra symmetry in the field equations in 5D with spatial spherical symmetry
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