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Vacuum polarization on topological black holes with Robin boundary conditions

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TLDR
In this article, the renormalized vacuum polarization for a massless, conformally coupled scalar field on asymptotically anti-de Sitter black hole backgrounds is computed.
Abstract
We compute the renormalized vacuum polarization for a massless, conformally coupled scalar field on asymptotically anti--de Sitter black hole backgrounds. Mixed (Robin) boundary conditions are applied on the spacetime boundary. We consider black holes with nonspherical event horizon topology as well as spherical event horizons. The quantum scalar field is in the Hartle-Hawking state, and we employ Euclidean methods to calculate the renormalized expectation values. Far from the black hole, we find that the vacuum polarization approaches a finite limit, which is the same for all boundary conditions except Dirichlet boundary conditions.

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Black Hole Explosions

TL;DR: In this article, it was shown that any black hole will create and emit particles such as neutrinos or photons at just the rate that one would expect if the black hole was a body with a temperature of (κ/2π) (ħ/2k) ≈ 10−6 (M/M)K where κ is the surface gravity of the body.
Journal ArticleDOI

Vacuum polarization near asymptotically anti-de Sitter black holes in odd dimensions

TL;DR: In this article, the authors derived the propagator in an exact form for a conformal scalar field in the asymptotically anti-de Sitter black hole spacetime so as to study the quantum effects of the scalar fields.
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Response of an Unruh-DeWitt detector near an extremal black hole

TL;DR: In this paper , the authors consider the response of an Unruh-DeWitt detector near an extremal charged black hole, modeling the near-horizon region of this extremal spacetime by the Bertotti-Robinson spacetime.
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Role of boundary conditions on Lifshitz spacetimes

TL;DR: In this article, the authors consider a class of four-dimensional Lifshitz spacetimes with critical exponent $z = 2, including a hyperbolic and a spherical topological black hole, and use mode decomposition to split the equation of motion into a radial and into an angular component.
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Vacuum Polarization Instead of “Dark Matter” in a Galaxy

S. L. Cherkas, +1 more
- 01 Sep 2022 - 
TL;DR: In this paper , the authors considered a vacuum polarization inside a galaxy in the eikonal approximation and found that two possible types of polarization exist, the first being described by the equation of state p=ρ/3, similar to radiation.
References
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Journal ArticleDOI

Thermodynamics of black holes in anti-de Sitter space

TL;DR: In this paper, it was shown that the canonical ensemble exists for asymptotically anti-de-Sitter space, unlike the case for the case of asymPTotically flat space.
Journal ArticleDOI

Stability in Gauged Extended Supergravity

TL;DR: In this paper, it was shown that supergravity theories with gauged SO(N) internal symmetry have ground states with anti-de Sitter background geometry which are stable against fluctuations which vanish sufficiently fast at spatial infinity.
Journal ArticleDOI

Geometry of the 2+1 black hole.

TL;DR: The geometry of the spinning black holes of standard Einstein theory in 2+1 dimensions, with a negative cosmological constant, and without couplings to matter, is analyzed in detail.
Book

Quantum Field Theory in Curved Spacetime and Black Hole Thermodynamics

TL;DR: In this paper, a pedagogical introduction to the formulation of quantum field theory in curved spacetime is provided, and a comprehensive, up-to-date account of the Unruh effect, the Hawking effect, and some of its ramifications is provided.
Journal ArticleDOI

Quantum field theory in curved spacetime

TL;DR: Apparatus for extracting emboli comprising a cannula, preferably guidable, adapted to be projected through a body passage to a point adjacent the embolus to be removed, together with a catheter adapted toBe passed through the cannula and having an inflatable balloon.
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