Some aspects of modified Hawking mass for two-spheres in Schwarzschild and Reissner-Nordström spacetime

In this paper, we study several aspects of modified Hawking mass (MHM) for two-spheres in Schwarzschild and Reissner-Nordström spacetime. Our purpose is to find the MHM value and its critical points and monotonicity in Schwarzschild and Reissner-Nordström spacetime using conventional calculation met...

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Bibliographic Details
Published in:AIP conference proceedings 2022-09, Vol.2663 (1)
Main Author: Radjabaycolle, Flinn C.
Format: Article
Language:English
Subjects:
Critical point
Mathematical analysis
Online Access:Get full text
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Summary:In this paper, we study several aspects of modified Hawking mass (MHM) for two-spheres in Schwarzschild and Reissner-Nordström spacetime. Our purpose is to find the MHM value and its critical points and monotonicity in Schwarzschild and Reissner-Nordström spacetime using conventional calculation methods. The calculations show that MHM is equal to M in Schwarzschild spacetime and is not greater than M in Reissner-Nordström spacetime. In addition, we also find that in Schwarzschild spacetime, MHM has a critical point and is monotone increasing. In contrast, in Reissner-Nordström spacetime, MHM has no critical point and is strictly increasing. These results are in line with our expectations.
ISSN:0094-243X
1551-7616
DOI:10.1063/5.0108012