Black hole kinematics: the "in"-vacuum energy density and flux for different observers
arXiv:1404.0684 · doi:10.1103/PhysRevD.90.024011
Abstract
We have investigated the local invariant scalar observables - energy density and flux - which explicitly depend on the kinematics of the concerned observers in the Vaidya gravitational collapse geometry. The use of globally defined null coordinates allows for the definition of a unique in-vacuum for the scalar field propagating in this background. Computing the stress-energy tensor for this scalar field, we work out the energy density and flux for the static observers outside the horizon and then consider the radially in-falling observers who fall in from some specified initial radius all the way through the horizon and inside to the eventual singularity. Our results confirm the thermal Tolman-shifted energy density and fluxes for the static observers which diverge at the horizon. For the in-falling observer starting from far off, both the quantities -- energy density and flux at the horizon crossing are \emph{regular and finite}. For example, the flux at the horizon for the in-falling observer from infinity is approximately 24 times the flux for the observer at infinity. Compared with the static observers in the near-horizon region, this is quite small. Both the quantities grow as the in-fall progresses inside the horizon and diverge at the singularity.
arXiv commentMatches published version. 8 pages, 6 figures
References in corpus (15)
- Black Holes: Complementarity or Firewalls?
- A Primer for Black Hole Quantum Physics
- Averaged Energy Conditions and Quantum Inequalities
- Gravitational vacuum polarization II: Energy conditions in the Boulware vacuum
- Gravitational vacuum polarization I: Energy conditions in the Hartle--Hawking vacuum
- Exercices de style: a homotopy theory for set theory, I
- Hawking radiation, Unruh radiation and the equivalence principle
- Do black holes radiate?
- Averaged Energy Conditions and Evaporating Black Holes
- Motion of Inertial Observers Through Negative Energy
- Hawking radiation as perceived by different observers
- Gravitational vacuum polarization III: Energy conditions in the (1+1) Schwarzschild spacetime
- Radiation from collapsing shells, semiclassical backreaction and black hole formation
- New perspectives on Hawking radiation
- Freely Falling Observer and Black Hole Radiation
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