$AdS_{2} \times S^{2}$ geometries and the extreme quantum-corrected black holes

Details $AdS_{2} \times S^{2}$ geometries and the extreme quantum-corrected black holes $AdS_{2} \times S^{2}$ geometries and the extreme quantum-corrected black holes

2009-08-18

arxiv.org/abs/0908.2648v1

Mod.Phys.Lett.A24:2517-2530,2009

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Scientific paper

10.1142/S0217732309031910

The second-order term of the approximate stress-energy tensor of the quantized massive scalar field in the Bertotti-Robinson and Reissner- Nordstr\"om spacetimes is constructed within the framework of the Schwinger-DeWitt method. It is shown that although the Bertotti- Robinson geometry is a self-consistent solution of the ($\Lambda =0$) semiclassical Einstein field equations with the source term given by the leading term of the renormalized stress-energy tensor, it does not remain so when the next-to-leading term is taken into account and requires the introduction of a cosmological term. The addition of the electric charge to the system does not change this behavior. The near horizon geometry of the extreme quantum-corrected Reissner-Nordstr\"om black hole is analyzed. It has the $AdS_{2} \times S^{2}$ topology and the sum of the curvature radii of the two dimensional submanifolds is proportional to the trace of the second order term. It suggests that the "minimal" approximation should be constructed from the first two terms of the Schwinger-DeWitt expansion.

Affiliated with

Also associated with

No associations

Rating

$AdS_{2} \times S^{2}$ geometries and the extreme quantum-corrected black holes does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with $AdS_{2} \times S^{2}$ geometries and the extreme quantum-corrected black holes, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and $AdS_{2} \times S^{2}$ geometries and the extreme quantum-corrected black holes will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-215821