Abstract
We have considered a time-like geodesics in the background of rotating Simpson–Visser (SV) black hole (BH) to examine structure of the horizon and ergosphere. The innermost stable circular orbits (ISCO) and the effective potential, which controls the particle’s motion in spacetime, have been studied for different values of parameters in SV BH. Center-of-mass (CM) energy of two colliding particles near the horizon has been investigated for both extremal and non-extremal cases. Furthermore, thermodynamic properties of SV black hole have been also investigated in detail.
Similar content being viewed by others
Data Availability Statement
This manuscript has no associated data or the data will not be deposited.
References
F.W. Dyson, A.S. Eddington, C. Davidson, Philos. Trans. R. Soc. Londn. Ser. A 220, 291 (1920). https://doi.org/10.1098/rsta.1920.0009
B. Patla and R. J. Nemiroff, Astrophys. J 685, 1297 (2008), http://arxiv.org/abs/0711.4811 arXiv:0711.4811 [astro-ph] https://doi.org/10.1086/588805
A. Einstein, Sitzungsberichte der K öniglich Preussischen Akademie der Wissenschaften , 778 (1915)
C. M. Will, Living Reviews in Relativity 9, 3 (2006), http://arxiv.org/abs/gr-qc/0510072 arXiv:gr-qc/0510072 [gr-qc]https://doi.org/10.12942/lrr-2006-3
B. P. Abbott, LIGO Scientific Collaboration, and Virgo Collaboration, Phys. Rev. Lett. 116, 061102 (2016), http://arxiv.org/abs/1602.03837 arXiv:1602.03837 [gr-qc] https://doi.org/10.1103/PhysRevLett.116.061102
K. Akiyama and et al. (Event Horizon Telescope Collaboration), Astrophys. J. 875, L1 (2019), http://arxiv.org/abs/1906.11238 arXiv:1906.11238 [astro-ph.GA] https://doi.org/10.3847/2041-8213/ab0ec7
K. Akiyama et al., Astrophys. J. Lett. 930, L12 (2022). https://doi.org/10.3847/2041-8213/ac6674
A. Tripathi, Y. Zhang, A. B. Abdikamalov, D. Ayzenberg, C. Bambi, J. Jiang, H. Liu, and M. Zhou, Astrophys. J. 913, 79 (2021), arXiv:2012.10669 [astro-ph.HE] https://doi.org/10.3847/1538-4357/abf6cd
A. Tripathi, S. Nampalliwar, A. B. Abdikamalov, D. Ayzenberg, C. Bambi, T. Dauser, J. A. García, and A. Marinucci, Astrophys. J. 875, 56 (2019), arXiv:1811.08148 [gr-qc] https://doi.org/10.3847/1538-4357/ab0e7e
C. Bambi, Phys. Rev. D 87, 023007 (2013), arXiv:1211.2513 [gr-qc] https://doi.org/10.1103/PhysRevD.87.023007
Z. Li, L. Kong, and C. Bambi, Astrophys. J. 787, 152 (2014), arXiv:1401.1282 [gr-qc] https://doi.org/10.1088/0004-637X/787/2/152
T. Johannsen and D. Psaltis, Astrophys. J. 716, 187 (2010a), arXiv:1003.3415 [astro-ph.HE] https://doi.org/10.1088/0004-637X/716/1/187
T. Johannsen and D. Psaltis, Astrophys. J. 718, 446 (2010b), arXiv:1005.1931 [astro-ph.HE] https://doi.org/10.1088/0004-637X/718/1/446
A. Simpson, M. Visser, Phys. Rev. D 105, 064065 (2022). https://doi.org/10.1103/PhysRevD.105.064065
F. Sarikulov, F. Atamurotov, A. Abdujabbarov, B. Ahmedov, Eur. Phys. J. C 82, 771 (2022). https://doi.org/10.1140/epjc/s10052-022-10711-4
A. Simpson and M. Visser, Universe 6, 8 (2019), arXiv:1911.01020 [gr-qc] https://doi.org/10.3390/universe6010008
T. Berry, A. Simpson, and M. Visser, Universe 7, 2 (2020), arXiv:2008.13308 [gr-qc] https://doi.org/10.3390/universe7010002
F. Atamurotov, F. Sarikulov, V. Khamidov, A. Abdujabbarov, Eur. Phys. J. Plus 137, 567 (2022). https://doi.org/10.1140/epjp/s13360-022-02780-x
M. Bañados, J. Silk, S.M. West, Phys. Rev. Lett. 103, 111102 (2009). https://doi.org/10.1103/PhysRevLett.103.111102
A. Jawad, F. Ali, M. Jamil, and U. Debnath, Commun. Theor. Phys. 66, 509 (2016), arXiv:1610.07411 [gr-qc] https://doi.org/10.1088/0253-6102/66/5/509
S. Hussain and M. Jamil, Phys. Rev. D 92, 043008 (2015), arXiv:1508.02123 [gr-qc] https://doi.org/10.1103/PhysRevD.92.043008
G. Z. Babar, M. Jamil, and Y.-K. Lim, Int. J. Mod. Phys. D 25, 1650024 (2016), arXiv:1504.00072 [gr-qc] https://doi.org/10.1142/S0218271816500243
A. Zakria and M. Jamil, J. High Energy Phys. 2015, 147 (2015), arXiv:1501.06306 [gr-qc] https://doi.org/10.1007/JHEP05(2015)147
I. Brevik and M. Jamil, Int. J. Geometr. Methods Mod. Phys. 16, 1950030 (2019), arXiv:1901.00002 [gr-qc] https://doi.org/10.1142/S0219887819500300
S. Chen, M. Wang, and J. Jing, J. High Energy Phys. 2016, 82 (2016), arXiv:1604.02785 [gr-qc] https://doi.org/10.1007/JHEP09(2016)082
K. Hashimoto and N. Tanahashi, Phys. Rev. D 95, 024007 (2017), arXiv:1610.06070 [hep-th] https://doi.org/10.1103/PhysRevD.95.024007
W. Han, Gen. Relativity Gravit. 40, 1831 (2008), arXiv:1006.2229 [gr-qc] https://doi.org/10.1007/s10714-007-0598-9
R.M. Wald, Phys. Rev. D. 10, 1680 (1974). https://doi.org/10.1103/PhysRevD.10.1680
A.N. Aliev, N. Özdemir, Mon. Not. R. Astron. Soc. 336, 241 (2002). https://doi.org/10.1046/j.1365-8711.2002.05727.x. arXiv:gr-qc/0208025
Z. Stuchlík, J. Schee, A. Abdujabbarov, Phys. Rev. D 89, 104048 (2014). https://doi.org/10.1103/PhysRevD.89.104048
A. Abdujabbarov and B. Ahmedov, Phys. Rev. D 81, 044022 (2010), arXiv:0905.2730 [gr-qc] https://doi.org/10.1103/PhysRevD.81.044022
A. Abdujabbarov, B. Ahmedov, and A. Hakimov, Phys.Rev. D 83, 044053 (2011a), http://arxiv.org/abs/1101.4741 arXiv:1101.4741 [gr-qc] https://doi.org/10.1103/PhysRevD.83.044053
A. A. Abdujabbarov, B. J. Ahmedov, S. R. Shaymatov, and A. S. Rakhmatov, Astrophys. Space Sci. 334, 237 (2011b), http://arxiv.org/abs/1105.1910 arXiv:1105.1910 [astro-ph.SR] https://doi.org/10.1007/s10509-011-0740-8
Z. Stuchlík and M. Kološ, Eur. Phys. J. C 76, 32 (2016), http://arxiv.org/abs/1511.02936 arXiv:1511.02936 [gr-qc] https://doi.org/10.1140/epjc/s10052-015-3862-2
J. Kovář, O. Kopáček, V. Karas, and Z. Stuchlík, Class. Quant. Gravity 27, 135006 (2010), http://arxiv.org/abs/1005.3270 arXiv:1005.3270 [astro-ph.HE] https://doi.org/10.1088/0264-9381/27/13/135006
J. Kovář, P. Slaný, C. Cremaschini, Z. Stuchlík, V. Karas, and A. Trova, Phys. Rev. D 90, 044029 (2014), http://arxiv.org/abs/1409.0418 arXiv:1409.0418 [gr-qc] https://doi.org/10.1103/PhysRevD.90.044029
F. de Felice, F. Sorge, Class. Quant. Gravity 20, 469 (2003)
F. de Felice, F. Sorge, S. Zilio, Class. Quant. Gravity 21, 961 (2004). https://doi.org/10.1088/0264-9381/21/4/016
J. Rayimbaev, A. Abdujabbarov, M. Jamil, and W.-B. Han, Nuclear Phys. B 966, 115364 (2021), http://arxiv.org/abs/2009.04898 arXiv:2009.04898 [gr-qc] https://doi.org/10.1016/j.nuclphysb.2021.115364
A. Abdujabbarov, J. Rayimbaev, B. Turimov, F. Atamurotov, Phys. Dark Univ. 30, 100715 (2020). https://doi.org/10.1016/j.dark.2020.100715
B. Narzilloev, J. Rayimbaev, S. Shaymatov, A. Abdujabbarov, B. Ahmedov, and C. Bambi, Phys. Rev. D 102, 044013 (2020), http://arxiv.org/abs/2007.12462 arXiv:2007.12462 [gr-qc] https://doi.org/10.1103/PhysRevD.102.044013
J. Vrba, A. Abdujabbarov, M. Kološ, B. Ahmedov, Z. Stuchlík, J. Rayimbaev, Phys. Rev. D 101, 124039 (2020). https://doi.org/10.1103/PhysRevD.101.124039
O. B. Zaslavskii, Phys. Rev. D 82, 083004 (2010), http://arxiv.org/abs/1007.3678 arXiv:1007.3678 [gr-qc] https://doi.org/10.1103/PhysRevD.82.083004
O. B. Zaslavskii, Phys. Rev. D 86, 084030 (2012a), http://arxiv.org/abs/1205.4410 arXiv:1205.4410 [gr-qc] https://doi.org/10.1103/PhysRevD.86.084030
O. B. Zaslavskii, Phys. Rev. D 85, 024029 (2012b), http://arxiv.org/abs/1110.5838 arXiv:1110.5838 [gr-qc] https://doi.org/10.1103/PhysRevD.85.024029
G. Z. Babar, F. Atamurotov, S. Ul Islam, and S. G. Ghosh, Phys. Rev. D 103, 084057 (2021), http://arxiv.org/abs/2104.00714 arXiv:2104.00714 [gr-qc] https://doi.org/10.1103/PhysRevD.103.084057
A. Tursunov, M. Kološ, A. Abdujabbarov, B. Ahmedov, and Z. Stuchlík, Phys. Rev. D 88, 124001 (2013), http://arxiv.org/abs/1311.1751 arXiv:1311.1751 [gr-qc] https://doi.org/10.1103/PhysRevD.88.124001
A. Abdujabbarov, F. Atamurotov, N. Dadhich, B. Ahmedov, and Z. Stuchlik, Eur. Phys. J. C 75, 399 (2015), http://arxiv.org/abs/1508.00331 arXiv:1508.00331 [gr-qc] https://doi.org/10.1140/epjc/s10052-015-3604-5
V. P. Frolov and A. A. Shoom, Phys. Rev. D. 82, 084034 (2010), http://arxiv.org/abs/1008.2985 arXiv:1008.2985 [gr-qc] https://doi.org/10.1103/PhysRevD.82.084034
V. P. Frolov, Phys. Rev. D. 85, 024020 (2012), http://arxiv.org/abs/1110.6274 arXiv:1110.6274 [gr-qc] https://doi.org/10.1103/PhysRevD.85.024020
A. Tursunov, M. Kološ, Z. Stuchlík, and D. V. Gal’tsov, Astrophys. J 861, 2 (2018), http://arxiv.org/abs/1803.09682 arXiv:1803.09682 [gr-qc] https://doi.org/10.3847/1538-4357/aac7c5
A. Tursunov, B. Juraev, Z. Stuchlík, and M. Kološ, Phys. Rev. D 104, 084099 (2021), http://arxiv.org/abs/2109.10288 arXiv:2109.10288 [gr-qc] https://doi.org/10.1103/PhysRevD.104.084099
N. Dadhich, A. Tursunov, B. Ahmedov, and Z. Stuchlík, Mon. Not. R. Astron. Soc 478, L89 (2018), http://arxiv.org/abs/1804.09679 arXiv:1804.09679 [astro-ph.HE] https://doi.org/10.1093/mnrasl/sly073
S.W. Hawking, Commun. Math. Phys. 25, 152 (1972). https://doi.org/10.1007/BF01877517
J.M. Bardeen, B. Carter, S.W. Hawking, Commun. Math. Phys. 31, 161 (1973). https://doi.org/10.1007/BF01645742
J.D. Bekenstein, Phys. Rev. D 7, 2333 (1973). https://doi.org/10.1103/PhysRevD.7.2333
S.W. Hawking, Commun. Math. Phys. 43, 199 (1975). https://doi.org/10.1007/BF02345020
S.W. Hawking, Commun. Math. Phys. 46, 206 (1976). https://doi.org/10.1007/BF01608497
R. M. Wald, Living. Rev. Rel. 4, 6 (2001), http://arxiv.org/abs/gr-qc/9912119 arXiv:gr-qc/9912119 [gr-qc] https://doi.org/10.12942/lrr-2001-6
M.R.R. Good, Y.C. Ong, Eur. Phys. J. C 80, 1169 (2020). https://doi.org/10.1140/epjc/s10052-020-08761-7
Y. S. Myung, Y.-W. Kim, and Y.-J. Park, Gen. Relat. Gravit. 41, 1051 (2009), http://arxiv.org/abs/0708.3145 arXiv:0708.3145 [gr-qc] https://doi.org/10.1007/s10714-008-0690-9
K. Ghaderi, B. Malakolkalami, Astrophys. Space Sci. 361, 161 (2016). https://doi.org/10.1007/s10509-016-2744-x
M. B. Jahani Poshteh and R. B. Mann, Phys. Rev. D 103, 104024 (2021), http://arxiv.org/abs/2103.04365 arXiv:2103.04365 [hep-th] https://doi.org/10.1103/PhysRevD.103.104024
R.-G. Cai, L.-M. Cao, and N. Ohta, Phys. Lett. B 679, 504 (2009), http://arxiv.org/abs/0905.0751 arXiv:0905.0751 [hep-th] https://doi.org/10.1016/j.physletb.2009.07.075
A. Ditta, X. Tiecheng, G. Mustafa, M. Yasir, F. Atamurotov, Eur. Phys. J. C 82, 756 (2022). https://doi.org/10.1140/epjc/s10052-022-10708-z
A. Fatima and K. Saifullah, Astrophys. Space. Sci. 341, 437 (2012), http://arxiv.org/abs/1108.1622 arXiv:1108.1622 [gr-qc] https://doi.org/10.1007/s10509-012-1098-2
S. H. Hendi, S. Hajkhalili, M. Jamil, and M. Momennia, Eur. Physi. J. C 81, 1112 (2021), http://arxiv.org/abs/2111.10117 arXiv:2111.10117 [gr-qc] https://doi.org/10.1140/epjc/s10052-021-09836-9
S. Mahapatra and I. Banerjee, Phys. Dark Univ. 39, 101172 (2023), http://arxiv.org/abs/2208.05796 arXiv:2208.05796 [gr-qc] https://doi.org/10.1016/j.dark.2023.101172
D. V. Singh, S. Upadhyay, and M. S. Ali, Int. J. Mod. Phys. A 37, 2250049 (2022), http://arxiv.org/abs/2206.05057 arXiv:2206.05057 [gr-qc] https://doi.org/10.1142/S0217751X2250049X
M. Yasir, X. Tiecheng, A. Ditta, R. Ali, F. Atamurotov, New Astron. 105, 102106 (2024). https://doi.org/10.1016/j.newast.2023.102106
A. Ditta, X. Tiecheng, R. Ali, F. Atamurotov, A. Mahmood, S. Mumtaz, Ann. Phys. 453, 169326 (2023). https://doi.org/10.1016/j.aop.2023.169326
F. Javed, G. Mustafa, S. Mumtaz, F. Atamurotov, Nucl. Phys. B 990, 116180 (2023). https://doi.org/10.1016/j.nuclphysb.2023.116180
Acknowledgements
This research is partly supported by Research Grant F-FA-2021-510 of the Uzbekistan Ministry for Innovative Development.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
About this article
Cite this article
Nosirov, A., Atamurotov, F., Rakhimova, G. et al. Particle acceleration and thermodynamics of the rotating Simpson–Visser black hole. Eur. Phys. J. Plus 138, 846 (2023). https://doi.org/10.1140/epjp/s13360-023-04501-4
Received:
Accepted:
Published:
DOI: https://doi.org/10.1140/epjp/s13360-023-04501-4