ar X iv : 0 90 5 . 42 04 v 1 [ he p - th ] 2 6 M ay 2 00 9 Is nonrelativistic gravity possible ?
نویسنده
چکیده
We study nonrelativistic gravity using the Hamiltonian formalism. For the dynamics of general relativity (relativistic gravity) the formalism is well known and called the ADM formalism. We show that if the lapse function is constrained correctly, then nonrelativistic gravity is described by a consistent Hamiltonian system. Surprisingly, nonrelativistic gravity can have solutions identical to relativistic gravity ones. In particular, (A)dS black holes of Ein-stein gravity and IR limit of Hořava gravity are locally identical.
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