Covariant gravitational dynamics in 3+1+1 dimensions

Zoltán Keresztes (1, 2) , László Gergely (1)

1 Department of Theoretical Physics
2 Department of Experimental Physics

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.

Mots clés: Physical Sciences

Zoltán Keresztes, László Gergely. Covariant gravitational dynamics in 3+1+1 dimensions. Classical and Quantum Gravity, 2010, 27 (10), pp.105009. ⟨10.1088/0264-9381/27/10/105009⟩. ⟨hal-00594825⟩