Reissner–Nordström Anti-de Sitter Black Holes in Mimetic F(R) Gravity
Abstract
:1. Introduction
2. Mimetic Gravity and Reissner–Nordström Black Holes
2.1. The Mimetic Gravity Theoretical Framework
2.2. Motivation for Studying the Reissner–Nordström Black Holes
2.3. General Study of the Solutions
2.4. Mimetic Reissner–Nordström Black Holes: A Study of the Solutions
- Case I: Both the first and second term are equal to zero, that is,
- Case II: Both the first term are equal to the same constant, but with opposite signs, that is,
2.4.1. Case I
- Scenario I: This scenario corresponds to , and therefore the following constraints correspond to this scenario,
- Scenario II: This scenario corresponds to and it is described by the following constraints,
2.4.2. Case II
3. Conclusions
Acknowledgments
Conflicts of Interest
Appendix A. The Parameters and in Terms of and
References
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Scenario | Constraints |
---|---|
Scenario I | , , , |
Scenario II | , , , |
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Oikonomou, V.K. Reissner–Nordström Anti-de Sitter Black Holes in Mimetic F(R) Gravity. Universe 2016, 2, 10. https://doi.org/10.3390/universe2020010
Oikonomou VK. Reissner–Nordström Anti-de Sitter Black Holes in Mimetic F(R) Gravity. Universe. 2016; 2(2):10. https://doi.org/10.3390/universe2020010
Chicago/Turabian StyleOikonomou, V. K. 2016. "Reissner–Nordström Anti-de Sitter Black Holes in Mimetic F(R) Gravity" Universe 2, no. 2: 10. https://doi.org/10.3390/universe2020010