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- W3011358981 abstract "Within the general framework of spatially covariant theories of gravity, we study the conditions for having only the two tensorial degrees of freedom. Generally, there are three degrees of freedom propagating in the theory, of which two are tensorial and one is of the scalar type. Through a detailed Hamiltonian analysis, we find two necessary and sufficient conditions to evade the scalar type degree of freedom. The first condition implies that the lapse-extrinsic curvature sector must be degenerate. The second condition ensures that the dimension of the phase space at each spacetime point is even, so that the scalar type degree of freedom is eliminated completely. We also compare our results with the previous studies, and apply our formalism to a simple example, in which the Lagrangian is quadratic in the extrinsic curvature." @default.
- W3011358981 created "2020-03-23" @default.
- W3011358981 creator A5004976818 @default.
- W3011358981 creator A5065838437 @default.
- W3011358981 date "2020-03-11" @default.
- W3011358981 modified "2023-09-24" @default.
- W3011358981 title "Spatially covariant gravity theories with two tensorial degrees of freedom: The formalism" @default.
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- W3011358981 doi "https://doi.org/10.1103/physrevd.101.064018" @default.
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