Covariant gravitational dynamics in 3+1+1 dimensions

We develop a 3+1+1 covariant formalism with cosmological and astrophysical applications. First we give the evolution and constraint equations both on the brane and off-brane in terms of 3-space covariant kinematical, gravito-electro-magnetic (Weyl) and matter variables. We discuss the junction condi...

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Bibliographic Details
Published inClassical and quantum gravity Vol. 27; no. 10; p. 105009
Main Authors Keresztes, Zoltán, Gergely, László Á
Format Journal Article
LanguageEnglish
Published Bristol IOP Publishing 21.05.2010
Institute of Physics
Subjects
Branes
Charging
Dynamics
Evolution
Exact sciences and technology
Formalism
General relativity and gravitation
Joints
Mathematical analysis
Physics
Quantum gravity
Brane world
Dynamics
Evolution equation
Physical Sciences
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Summary:We develop a 3+1+1 covariant formalism with cosmological and astrophysical applications. First we give the evolution and constraint equations both on the brane and off-brane in terms of 3-space covariant kinematical, gravito-electro-magnetic (Weyl) and matter variables. We discuss the junction conditions across the brane in terms of the new variables. Then we establish a closure condition for the equations on the brane. We also establish the connection of this formalism with isotropic and anisotropic cosmological brane-worlds. Finally we derive a new brane solution in the framework of our formalism: the tidal charged Taub-NUT-(A)dS brane, which obeys the closure condition.
Bibliography:ObjectType-Article-1
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ISSN:0264-9381
1361-6382
DOI:10.1088/0264-9381/27/10/105009