Geometrodynamics of spherically symmetric Lovelock gravity
arXiv:1201.4904 · doi:10.1088/0264-9381/29/9/092001
Abstract
We derive the Hamiltonian for spherically symmetric Lovelock gravity using the geometrodynamics approach pioneered by Kuchař in the context of four-dimensional general relativity. When written in terms of the areal radius, the generalized Misner-Sharp mass and their conjugate momenta, the generic Lovelock action and Hamiltonian take on precisely the same simple forms as in general relativity. This result supports the interpretation of Lovelock gravity as the natural higher-dimensional extension of general relativity. It also provides an important first step towards the study of the quantum mechanics, Hamiltonian thermodynamics and formation of generic Lovelock black holes.
10 pages, references and derivation details added, final version accepted by CQG (Fast Track)
References in corpus (9)
- The Lovelock Black Holes
- Generalized Misner-Sharp quasi-local mass in Einstein-Gauss-Bonnet gravity
- Final fate of spherically symmetric gravitational collapse of a dust cloud in Einstein-Gauss-Bonnet gravity
- Higher order gravity theories and their black hole solutions
- Lovelock black holes with maximally symmetric horizons
- Gravitational solitons and vacuum metrics in five-dimensional Lovelock gravity
- Hamiltonian Formulation of Scalar Field Collapse in Einstein Gauss Bonnet Gravity
- Shock waves and Birkhoff's theorem in Lovelock gravity
- String Theory: A Framework for Quantum Gravity and Various Applications
Cited by in corpus (12)
- Stability of AdS in Einstein Gauss Bonnet Gravity
- New 2D dilaton gravity for nonsingular black holes
- Generalized 2D dilaton gravity and KGB
- Gravitational Collapse in the EGB Gravity
- Modelling the Evaporation of Non-singular Black Holes
- Hamiltonian dynamics of Lovelock black holes with spherical symmetry
- Local Well-posedness of Lovelock gravity
- Throat quantization of the Schwarzschild-Tangherlini(-AdS) Black Hole
- Designer black holes from new 2D gravity
- Black Hole Formation in Lovelock Gravity
- Exact time-dependent states for throat quantized toroidal AdS black holes
- Null-null components of the generalized Einstein tensor for Lovelock models