A quasilocal calculation of tidal heating
arXiv:gr-qc/0003038 · doi:10.1103/PhysRevD.62.067503
Abstract
We present a method for computing the flux of energy through a closed surface containing a gravitating system. This method, which is based on the quasilocal formalism of Brown and York, is illustrated by two applications: a calculation of (i) the energy flux, via gravitational waves, through a surface near infinity and (ii) the tidal heating in the local asymptotic frame of a body interacting with an external tidal field. The second application represents the first use of the quasilocal formalism to study a non-stationary spacetime and shows how such methods can be used to study tidal effects in isolated gravitating systems.
REVTex, 4 pages, 1 typo fixed, standard sign convention adopted for the Newtonian potential, a couple of lines added to the discussion of gauge dependent terms
References in corpus (2)
Cited by in corpus (16)
- Classical and Quantum Thermodynamics of horizons in spherically symmetric spacetimes
- Energy and angular momentum flow into a black hole in a binary
- Gravitomagnetic resonant excitation of Rossby modes in coalescing neutron star binaries
- Geometry and dynamics of a tidally deformed black hole
- Quasilocal Thermodynamics of Kerr and Kerr-anti-de Sitter Spacetimes and the AdS/CFT Correspondence
- Gravitational Energy for GR and Poincare Gauge Theories: a Covariant Hamiltonian Approach
- Metric-based Hamiltonians, null boundaries, and isolated horizons
- Quasilocal Thermodynamics of Kerr de Sitter Spacetimes and the dS/CFT Correspondence
- A brief history of gravitational wave research
- Are neutron stars crushed? Gravitomagnetic tidal fields as a mechanism for binary-induced collapse
- Energy Localization Invariance of Tidal Work in General Relativity
- Canonical Phase Space Formulation of Quasilocal General Relativity
- Post-Newtonian Conservation Laws in Rigid Quasilocal Frames
- Quasilocal Corrections to Bondi's Mass-Loss Formula and Dynamical Horizons
- Quasilocal energy exchange and the null cone
- A remark on the quasilocal calculation of tidal heating: energy transfer through the quasilocal surface