Renormalized stress-energy tensor near the horizon of a slowly evolving, rotating black hole
The renormalized expectation value of the stress-energy tensor /sup ren/ of a quantum field in an arbitrary quantum state near the future horizon of a rotating (Kerr) black hole is derived in two very different ways: One derivation (restricted for simplicity to a massless scalar field) makes use of traditional techniques of quantum field theory in curved spacetime, augmented by a variant of the ''eta formalism'' for handling superradiant modes. The other derivation (valid for any quantum field) uses the equivalence principle to infer, from /sup ren/ in flat spacetime, what must be /sup ren/ near the hole's horizon. The two derivations give the same result: a result in accord with a previous conjecture by Zurek and Thorne: /sup ren/, in any quantum state, is equal to that, /sup ZAMO/, which zero-angular-momentum observers (ZAMO's) would compute from their own physical measurements near the horizon, plus a vacuum-polarization contribution T/sub ..mu..//sub ..nu..//sup vac pol/, which is the negative of the stress-energy of a rigidly rotating thermal reservoir with angular velocity equal to that of the horizon ..cap omega../sub H/, and (red-shifted) temperature equal to that of the Hawking temperature T/sub H/.
- Research Organization:
- P. N. Lebedev Physical Institute, Leninsky Prospect 53, Moscow 117924, Union of Soviet Socialist Republics
- OSTI ID:
- 6316729
- Journal Information:
- Phys. Rev. D; (United States), Vol. 39:8
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BLACK HOLES
ROTATION
QUANTUM FIELD THEORY
RENORMALIZATION
ANGULAR MOMENTUM
MASSLESS PARTICLES
SCALAR FIELDS
SPACE-TIME
THERMODYNAMIC PROPERTIES
UNIVERSE
VACUUM POLARIZATION
ELEMENTARY PARTICLES
FIELD THEORIES
MOTION
PHYSICAL PROPERTIES
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