Revisiting the ADT mass of the five-dimensional rotating black holes with squashed horizons

We evaluate the Abbott–Deser–Tekin (ADT) mass of the five-dimensional rotating black holes with squashed horizons on two different on-shell reference backgrounds, which are the flat background and the boundary matched Kaluza–Klein (KK) monopole. The mass on the former, identified with the one on the...

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Bibliographic Details
Published in:The European physical journal. C, Particles and fields Particles and fields, 2017-10, Vol.77 (10), p.1-9, Article 706
Main Author: Peng, Jun-Jin
Format: Article
Language:English
Subjects:
Astronomy
Astrophysics and Cosmology
Black holes
Elementary Particles
Hadrons
Heavy Ions
Measurement Science and Instrumentation
Monopoles
Nuclear Energy
Nuclear Physics
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Regular Article - Theoretical Physics
Rotation
String Theory
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Summary:We evaluate the Abbott–Deser–Tekin (ADT) mass of the five-dimensional rotating black holes with squashed horizons on two different on-shell reference backgrounds, which are the flat background and the boundary matched Kaluza–Klein (KK) monopole. The mass on the former, identified with the one on the background of the asymptotic geometry, differs from the mass on the latter by that of the KK monopole. However, each mass satisfies the first law of black hole thermodynamics. To test the results in five dimensions, we compute the mass in the context of the dimensionally reduced theory. Finally, in contrast with the original ADT formulation, its off-shell generalisation is applied to calculate the mass as well.
ISSN:1434-6044
1434-6052
DOI:10.1140/epjc/s10052-017-5290-y