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Entropy Inequality Violations from Ultraspinning Black Holes
Robie A Hennigar1, Robert B Mann1, David Kubizňák2
1Department of Physics and Astronomy, University of Waterloo, Waterloo, N2L 3G1 Ontario, Canada.
Physical Review Letters
|August 1, 2015
Summary
We introduce novel rotating anti-de Sitter (AdS) black holes with finite area horizons. Their entropy surpasses theoretical maximums, prompting a reevaluation of the reverse isoperimetric inequality in black hole thermodynamics.
Area of Science:
- Theoretical Physics
- General Relativity
- Quantum Gravity
Background:
- Rotating black holes are key solutions in general relativity.
- Anti-de Sitter (AdS) spaces are important in theoretical physics, particularly in the AdS/CFT correspondence.
- Thermodynamics of black holes provides insights into quantum gravity.
Purpose of the Study:
- To construct a new class of rotating anti-de Sitter (AdS) black hole solutions.
- To investigate the thermodynamic properties of these black holes, focusing on their entropy.
- To examine the implications of the findings for the conjectured reverse isoperimetric inequality.
Main Methods:
- Construction of new black hole solutions in various dimensions.
- Analysis of thermodynamic quantities, including entropy and volume.
- Comparison of calculated entropy with the conjectured maximum from the reverse isoperimetric inequality.
Main Results:
- A new class of rotating AdS black hole solutions with noncompact event horizons of finite area was successfully constructed.
- The entropy of these black hole solutions was found to exceed the maximum predicted by the reverse isoperimetric inequality.
- This finding suggests that the conditions for the validity of the reverse isoperimetric inequality may need to be more stringent.
Conclusions:
- The study presents novel rotating AdS black hole solutions with unique thermodynamic properties.
- The results challenge the existing reverse isoperimetric inequality, indicating potential limitations or necessary refinements.
- Further theoretical work is needed to establish more precise conditions for the validity of the reverse isoperimetric inequality in black hole thermodynamics.
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