Revisiting the cuscuton as a Lorentz-violating gravity theoryTools Bhattacharyya, Jishnu, Coates, Andrew, Colombo, Mattia, Gümrükçüoğlu, A. Emir and Sotiriou, Thomas P. (2018) Revisiting the cuscuton as a Lorentz-violating gravity theory. Physical Review D, 97 (6). 064020. ISSN 2470-0010
AbstractThe cuscuton is a scalar field with infinite speed of propagation. It was introduced in the context of cosmology but it has also been claimed to resemble Horava gravity in a certain limit. Here we revisit the cuscuton theory as a Lorentz-violating gravity theory. We clarify its relation with Horava gravity and Einstein-æther theory, analyze its causal structure, and consider its initial value formulation. Finally, we discuss to which extent the cuscuton theory can be used as a proxy for Horava gravity in the context of gravitational collapse and formation of universal horizons.
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