Mechanics of Isolated Horizons in Scalar-Tensor Theories

Abstract

Based on the first-order action for scalar-tensor theories with the Immirzi parameter, the symplectic form for the spacetimes admitting a weakly isolated horizon as internal boundary is derived by the covariant phase space approach. The first law of thermodynamics for the weakly isolated horizons with rotational symmetry is obtained. It turns out that the Immirzi parameter appears in the expression of the angular momentum of isolated horizon, and the scalar field contributes to the horizon entropy.

7 pages

References in corpus (8)

• Healthy theories beyond Horndeski
• Extension of loop quantum gravity to $f(R)$ theories
• Jordan frame no-hair for spherical scalar-tensor black holes
• Surface terms, Asymptotics and Thermodynamics of the Holst Action
• Loop quantum Brans-Dicke cosmology
• Exact cosmological solution of a Scalar-Tensor Gravity theory compatible with the $\Lambda CDM$ model
• Laws of Black Hole Mechanics from Holst Action
• Loop quantum modified gravity and its cosmological application