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...
Elmentve itt :
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| Dokumentumtípus: | Cikk |
| Megjelent: |
2010
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| Sorozat: | CLASSICAL AND QUANTUM GRAVITY
27 |
| doi: | 10.1088/0264-9381/27/10/105009 |
| mtmt: | 1604445 |
| Online Access: | http://publicatio.bibl.u-szeged.hu/7960 |
| Tartalmi kivonat: | 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. © 2010 IOP Publishing Ltd. |
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| Terjedelem/Fizikai jellemzők: | Terjedelem: 39 p.-Azonosító: 105009 |
| ISSN: | 0264-9381 |