Minimal conditions for the existence of a Hawking-like flux
- Instituto de Astrofisica de Andalucia, IAA-CSIC, Glorieta de la Astronomia, 18008 Granada (Spain)
- SISSA/International School for Advanced Studies, Via Bonomea 265, 34136 Trieste, Italy and INFN, Sezione di Trieste (Italy)
- Dipartimento di Fisica, Universita di Udine, Via delle Scienze 208, 33100 Udine (Italy)
- School of Mathematics, Statistics, and Operations Research, Victoria University of Wellington (New Zealand)
We investigate the minimal conditions that an asymptotically flat general relativistic spacetime must satisfy in order for a Hawking-like Planckian flux of particles to arrive at future null infinity. We demonstrate that there is no requirement that any sort of horizon form anywhere in the spacetime. We find that the irreducible core requirement is encoded in an approximately exponential 'peeling' relationship between affine coordinates on past and future null infinity. As long as a suitable adiabaticity condition holds, then a Planck-distributed Hawking-like flux will arrive at future null infinity with temperature determined by the e-folding properties of the outgoing null geodesics. The temperature of the Hawking-like flux can slowly evolve as a function of time. We also show that the notion of peeling of null geodesics is distinct from the usual notion of 'inaffinity' used in Hawking's definition of surface gravity.
- OSTI ID:
- 21504945
- Journal Information:
- Physical Review. D, Particles Fields, Vol. 83, Issue 4; Other Information: DOI: 10.1103/PhysRevD.83.041501; (c) 2011 American Institute of Physics; ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
Similar Records
Evanescent modes and step-like acoustic black holes
Gravitational vacuum polarization. I. Energy conditions in the Hartle-Hawking vacuum