The Delocalized Effective Degrees of Freedom of a Black Hole at Low Frequencies
arXiv:0804.0187 · doi:10.1007/s10714-008-0673-x
Abstract
Identifying the fundamental degrees of freedom of a black hole poses a long-standing puzzle. In hep-th/0511133 Goldberger and Rothstein forwarded a theory of the low frequency degrees of freedom within the effective field theory approach, where they are relevancy-ordered but of unclear physical origin. Here these degrees of freedom are identified with near-horizon but non-compact gravitational perturbations which are decomposed into delocalized multipoles. Their world-line (kinetic) action is determined within the classical effective field theory (CLEFT) approach and their interactions are discussed. The case of the long-wavelength scattering of a scalar wave off a Schwarzschild black hole is treated in some detail, interpreting within the CLEFT approach the equality of the leading absorption cross section with the horizon area.
arXiv comment8 pages. Awarded fifth prize in the 2008 Gravity Research Foundation essay contest. v2: minor changes
References in corpus (12)
- Microscopic Origin of the Bekenstein-Hawking Entropy
- D-brane Approach to Black Hole Quantum Mechanics
- Black Hole Entropy in Canonical Quantum Gravity and Superstring Theory
- An Effective Field Theory of Gravity for Extended Objects
- Dissipative Effects in the Worldline Approach to Black Hole Dynamics
- Absorption Effects due to Spin in the Worldline Approach to Black Hole Dynamics
- Non-Relativistic Gravitation: From Newton to Einstein and Back
- The quantum structure of black holes
- The Bekenstein Formula and String Theory (N-brane Theory)
- Classical Effective Field Theory and Caged Black Holes
- Les Houches Lectures on Effective Field Theories and Gravitational Radiation
- Towers of Gravitational Theories
Cited by in corpus (12)
- Amplitudes, Observables, and Classical Scattering
- Effective Field Theories of Post-Newtonian Gravity: A comprehensive review
- Black hole stereotyping: Induced gravito-static polarization
- Radiation reaction and gravitational waves in the effective field theory approach
- Comparing space+time decompositions in the post-Newtonian limit
- Effective field theory for black holes with induced scalar charges
- Einstein's action and the harmonic gauge in terms of Newtonian fields
- Dressing the Post-Newtonian two-body problem and Classical Effective Field Theory
- New perspectives on neutron star and black hole spectroscopy and dynamic tides
- Caged black hole thermodynamics: Charge, the extremal limit, and finite size effects
- Waveforms from Amplitudes
- Classical Effective Field Theory for Weak Ultra Relativistic Scattering