A note on circular geodesics and phase transitions of black holes

The circular motion of charged test particles in the gravitational field of a Reissner-Nordström black hole in Anti de Sitter space-time is investigated, using a set of independent parameters, such as charge Q, mass M and cosmological constant Λ=−3/l2 of the space-time, and charge to mass ratio ϵ=q/...

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Bibliographic Details
Published in:Physics letters. B 2019-04, Vol.791, p.367-374
Main Authors: Bhamidipati, Chandrasekhar, Mohapatra, Shrohan
Format: Article
Language:English
Subjects:
Black holes in a box
Charged black holes in AdS
Circular geodesics
Phase transitions
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Summary:The circular motion of charged test particles in the gravitational field of a Reissner-Nordström black hole in Anti de Sitter space-time is investigated, using a set of independent parameters, such as charge Q, mass M and cosmological constant Λ=−3/l2 of the space-time, and charge to mass ratio ϵ=q/μ of the test particles. Classification of different spatial regions where circular motion is allowed, is presented, showing in particular, the presence of orbits at special limiting values, M=4/6Q and l=6Q. Thermodynamically, these values are known to occur when the black hole is on the verge of a second order phase transition, there by, giving an interesting connection between thermodynamics and geodesics of black holes. We also comment on the possibility of such a connection for black holes in flat spacetime in a box.
ISSN:0370-2693
1873-2445
DOI:10.1016/j.physletb.2019.02.042