Journal
CLASSICAL AND QUANTUM GRAVITY
Volume 27, Issue 10, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/0264-9381/27/10/105009
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Funding
- Hungarian Scientific Research Fund (OTKA) [69036]
- Hungarian National Office for Research and Technology (NKTH) and Collegium Budapest
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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-electromagnetic (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.
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