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Optical and thermodynamic behaviors of Ayón-Beato-García black holes for 4D Einstein Gauss-Bonnet gravity. (English) Zbl 1496.83023

Summary: We investigate a family of four dimensional \((4D)\) Ayón-Beato-García (ABG) black holes in Einstein Gauss-Bonnet (EGB) gravity. We approach and examine the associated thermodynamic and the optical aspects by varying the involved parameters. We first compute and analyze the corresponding thermodynamic quantities. Among others, we inspect the global and the local stability behaviors. Then, we study the optical behaviors. Using Hamilton-Jacobi method, we study the shadow geometrical configurations in terms of one dimensional real closed curves. Using Gauss-Bonnet theorem, we calculate and examine the deflection angle of light rays by such black holes. In specific regions of a reduced moduli space obtained by fixing the mass and varying the remaining parameters, the present work recovers certain previous findings. Finally, we provide a possible speculative connection with observations from Event Horizon Telescope by imposing certain constraints on the involved b parameters in the light of the M\(87^\ast\) image.

MSC:

83C57 Black holes
83D05 Relativistic gravitational theories other than Einstein’s, including asymmetric field theories
83C50 Electromagnetic fields in general relativity and gravitational theory
78A45 Diffraction, scattering
80A10 Classical and relativistic thermodynamics
35F21 Hamilton-Jacobi equations
85A15 Galactic and stellar structure
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[1] Hawking, S. W.; Page, D. N., Comm. Math. Phys., 87, 4, 577 (1983)
[2] Cvetic, M., Nuclear Phys. B, 558, 96 (1999), arXiv:hep-th/9903214
[3] Abbott, B., Phys. Rev. Lett., 116, 6, Article 061102 pp. (2016), arXiv:1602.03837
[4] Akiyama, K., Astrophys. J., L4, 1, 875 (2019), arXiv:1906.11241
[5] Akiyama, K., Astrophys. J., L5, 1, 875 (2019)
[6] Akiyama, K., Astrophys. J., L6, 1, 875 (2019)
[7] Wei, S. W.; Zou, Y. C.; Liu, Y. X.; Mann, R. B., J. Cosmol. Astropart. Phys., 08, 030 (2019), arXiv:1904.07710
[8] Övgün, A.; Sakalli, I.; Saavedra, J., JCAP, 10, 041 (2018), arXiv:1807.00388
[9] Belhaj, A.; Belmahi, H.; Benali, M.; El Hadri, W.; El Moumni, H.; Torrente-Lujan, E., Phys. Lett. B, 812, Article 136025 pp. (2021), arXiv:2008.13478 · Zbl 1476.83072
[10] Belhaj, A.; Benali, M.; El Balali, A.; El Hadri, W.; El Moumni, H.; Torrente-Lujan, E., Internat. J. Modern Phys. D, 30, Article 2150026 pp. (2021), arXiv:2008.09908 · Zbl 1466.83043
[11] Boudet, S.; Bombacigno, F.; Montani, G.; Rinaldi, M., Phys. Rev. D, 103, Article 084034 pp. (2021)
[12] Cunha, P. V.P.; Herdeiro, C. A.R.; Kleihaus, B.; Kunz, J.; Radu, E., Phys. Lett. B, 768, 773 (2017), arXiv:1701.00079
[13] Gibbons, G. W.; Werner, M. C., Classical Quantum Gravity, 25, 23, Article 235009 pp. (2008), arXiv:0807.0854 · Zbl 1155.83007
[14] Belhaj, A.; Benali, M.; El Balali, A.; El Moumni, H.; Ennadifi, S.-E., Classical Quantum Gravity, 37, Article 215004 pp. (2020), arXiv:2006.01078 · Zbl 1479.83118
[15] Villanueva, J. R.; Saavedra, J.; Olivares, M.; Cruz, N., Astrophys. Space Sci., 344, 2, 437 (2013) · Zbl 1276.83030
[16] Gibbons, G. W.; Vyska, M., Classical Quantum Gravity, 29, Article 065016 pp. (2012), arXiv:1110.6508
[17] Ishihara, A.; Suzuki, Y.; Ono, T.; Kitamura, T.; Asada, H., Phys. Rev. D, 94, Article 084015 pp. (2016), arXiv:1604.08308
[18] Liu, Y.; Zou, D. C.; Wang, B., JHEP, 09, 179 (2014), arXiv:1405.2644
[19] Belhaj, A.; El Balali, A.; El Hadri, W.; Torrente-Lujan, E., Phys. Lett. B, 811, Article 135871 pp. (2020), arXiv:2010.07837 · Zbl 1475.83053
[20] Rajagopal, A.; Kubiznak, D.; Mann, R. B., Phys. Lett. B, 737, 277 (2014), arXiv:1408.1105 · Zbl 1317.83024
[21] Belhaj, A.; Chabab, M.; El Moumni, H.; Sedra, M. B., CPL, 29, Article 100401 pp. (2012), arXiv:1210.4617
[22] Belhaj, A.; Belmahi, H.; Benali, M.; Segui, A., Phys. Lett. B, 817, Article 136313 pp. (2021) · Zbl 07408538
[23] J.M. Bardeen, Proceedings of the Inter-National Conference GR5, Tbilisi, Georgia, 1968, p. 174.
[24] Ayón-Beato, E.; Garc AÁia, A., Phys. Rev. Lett., 80, 5056 (1998), [8]
[25] Ayón-Beato, E.; Garc AÁia, A., Phys. Lett. B, 464, 25 (1999), arXiv:hep-th/9911174
[26] Ayón-́Beato, E.; García, A., Phys. Lett. B, 493, 149 (2000), arXiv:gr-qc/0009077 · Zbl 0976.81127
[27] Ayón-́Beato, E.; Garc AÁia, A., Gen. Relativity Gravitation, 37, 635 (2005), arXiv:gr-qc/0403229 · Zbl 1077.83029
[28] Dharm, V. S.; Ghosh, S. G.; Maharaj, S. D., Phys. Dark Univ., 30, Article 100730 pp. (2020)
[29] Dharm, V. S.; Ghosh, S. G.; Maharaj, S. D., Phys. Dark Univ., 30, Article 100730 pp. (2020)
[30] Godani, N.; Dharm, V. S.; Samanta, G. C., Phys. Dark Univ., 35, Article 100952 pp. (2022)
[31] Lovelock, D., J. Math. Phys., 12, 498 (1971), arXiv:gr-qc/9510060 · Zbl 0213.48801
[32] Y. Tomozawa, Quantum corrections to gravity, arXiv:1107.1424.
[33] Boulware, D. G.; Deser, S., Phys. Rev. Lett., 55, 2656 (1985)
[34] Wheeler, J. T., Nuclear Phys. B, 268, 737 (1986)
[35] Ghosh, S. G.; Kumar, R., Classical Quantum Gravity, 37, Article 245008 pp. (2020), arXiv:2003.12291
[36] Ghosh, S. G.; Maharaj, S. D., Phys. Dark Univ., 30, Article 100687 pp. (2020), arXiv:2003.09841
[37] Zwiebach, B., Phys. Lett. B, 315, 315 (1985)
[38] Kashima, K., Progr. Theoret. Phys., 105, 301 (2001) · Zbl 0993.81044
[39] Fernandes, P. G.S.; Carrilho, P.; Clifton, T.; Mulryne, D. J., Phys. Rev. D, 102, Article 024025 pp. (2020), arXiv:2004.08362
[40] Fernandes, P. G.S., Phys. Lett. B, 805, Article 135468 pp. (2020), arXiv:2003.05491 · Zbl 1436.83060
[41] A. Kumar, S.G. Ghosh, Hayward black holes in the novel 4D Einstein-Gauss-Bonnet gravity, arXiv:2004.01131. · Zbl 1448.83046
[42] A. Kumar, R. Kumar, Bardeen black holes in the novel 4D Einstein-Gauss-Bonnet gravity, arXiv:2003.13104. · Zbl 1479.83137
[43] Singh, B. K.; Singh, R. P.; Singh, D. V., Eur. Phys. J. Plus, 135, 862 (2020)
[44] Singh, D. V.; Siwach, S., Phys. Lett. B, 808, Article 135658 pp. (2020), arXiv:2004.08362 · Zbl 1473.83075
[45] Mansoori, S. A.H., Phys. Dark Univ., 31, Article 100776 pp. (2021), arXiv:2003.13382
[46] Singh, D. V.; Singh, B. K.; Upadhyay, S., Ann. Physics, 434, Article 168642 pp. (2021) · Zbl 1482.83103
[47] Salazar, H.; Garcıa, A.; Plebanski, J., J. Math. Phys., 28, 2171 (1987)
[48] Glavan, D.; Lin, C., Phys. Rev. Lett., 124, Article 081301 pp. (2020)
[49] Hawking, S. W.; Ellis, G., Agron. J., 52, 25 (1969)
[50] Bekenstein, J. D., Phys. Rev. D, 7, 949 (1973)
[51] Kumar, A.; Singh, D. V.; Ghosh, S. G., Eur. Phys. J. C, 79, 275 (2019)
[52] Ghosh, S. G.; Singh, D. V.; Kumar, R.; Maharaj, S. D., Ann. Physics, 424, Article 168347 pp. (2021), arXiv:2006.00594
[53] Chandrasekhar, S., The Mathematical Theory of Black Holes, Vol. 69 (1998), Oxford University Press · Zbl 0912.53053
[54] Carter, B., Phys. Rev., 174, 5, 1559 (1968) · Zbl 0167.56301
[55] Islam, S. U.; Kumar, R.; Ghosh, S. G., J. Cosmol. Astropart. Phys., 09, 030 (2020), arXiv:004.01038
[56] M. Khodadi, A. Allahyari, S. Vagnozzi, D.F. Mota, Black holes with scalar hair in light of the event horizon telescope, arXiv:2005.05992. · Zbl 1489.83044
[57] Khodadi, M.; Saridakis, E. N., Phys. Dark Univ., 32, Article 100835 pp. (2021), arXiv:2012.05186
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