Null geodesics of a symmergent black hole

Document Type : Regular article

Author

Department of Physics, College of Sciences, Yasouj University, 75918-74934, Yasouj, Iran;

Abstract

In this paper, null geodesics for a symmergent black hole are investigated. The geodesic equation of this space time are solved analytically according to the Weierstrass elliptic function. Also, the effective potential is obtained and plotted. Finally, using the form of effective potential and obtained analytical solution of geodesic equations, some possible types of orbits related to null geodesics are demonstrated.

Keywords

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[1] S. Chandrasekhar, “The mathematical theory of black holes”, Oxford: Clarendon press, (1985).
[2] E. Hackmann, V. Kagramanova, J. Kunz, and C. Lämmerzahl, “Analytic solutions of the geodesic equation in higher dimensional static spherically symmetric space-times”, Phys. Rev. D 78 124018 (2008), Erratum [Phys. Rev. D 79 029901 (2009)]. DOI:10.1103/PhysRevD.79.029901
[3] E. Hackmann and C. Lämmerzahl, “Complete analytic solution of the geodesic equation in Schwarzschild–(anti-) de Sitter spacetimes”, Physical Review Letters 100 171101 (2008), DOI: 10.1103/PhysRevLett.100.171101
[4] E. Hackmann, C. Lämmerzahl, V. Kagramanova, and J. Kunz, “Analytical solution of the geodesic equation in Kerr-(anti-) de Sitter space-times”, Phys. Rev. D 81 044020 (2010), DOI: 10.1103/PhysRevD.81.044020
[5] S. Soroushfar, R. Saffari, J. Kunz, and C. Lämmerzahl, “Analytical solutions of the geodesic equation in the spacetime of a black hole in f (R) gravity”, Phys. Rev. D 92 044010 (2015), DOI: 10.1103/PhysRevD.92.044010
[6] B. Hoseini, R. Saffari, S. Soroushfar, J. Kunz, and S. Grunau, “Analytic treatment of complete geodesics in a static cylindrically symmetric conformal spacetime”, Phys. Rev. D 94 044021 (2016), DOI: 10.1103/PhysRevD.94.044021
[7] V. Z. Enolski, E. Hackmann, V. Kagramanova, J. Kunz, and C. Lämmerzahl, “Inversion of hyperelliptic integrals of arbitrary genus with application to particle motion in general relativity”, Journal of Geometry and Physics, 61 899 (2011), DOI:10.1016/j.geomphys.2011.01.001
[8] V. Kagramanova and S. Reimers, “Analytic treatment of geodesics in five-dimensional Myers-Perry space-times”, Phys. Rev. D 86 084029 (2012), DOI: 10.1103/PhysRevD.86.084029
[9] S. Soroushfar, R. Saffari, S. Kazempour, S. Grunau, and J. Kunz, “Detailed study of geodesics in the Kerr-Newman-(A) dS spacetime and the rotating charged black hole spacetime in f (R) gravity”, Phys. Rev. D 94 024052 (2016), DOI: 10.1103/PhysRevD.94.024052
[10] S. Soroushfar, R. Saffari, and A. Jafari, “Study of geodesic motion in a (2+ 1)-dimensional charged BTZ black hole”, Phys. Rev. D 93, 104037 (2016), DOI:10.1103/PhysRevD.93.104037
[11] S. Soroushfar and M. Afrooz, “Analytical solutions of the geodesic equation in the space-time of a black hole surrounded by perfect fluid in Rastall theory”, Indian J. Phys. 96, 593 (2022), DOI: 10.1007/s12648-020-01971-5
[12] S. Soroushfar, “Geodesic motion in the spacetime of a (2 + 1) D black hole conformally coupled to a massless scalar”, JHAP 3(1), 49 (2023). DOI: 10.22128/jhap.2023.654.1041
[13] I. Çimdiker, D. Demir, and A. Övgün, “Black hole shadow in symmergent gravity”, Phys. Dark Univ. 34, 100900 (2021). arXiv:2110.11904 [gr-qc], DOI:10.1016/j.dark.2021.100900
[14] J. Rayimbaev, R. C. Pantig, C. Reggie C, A. Övgün, A. Abdujabbarov, and D. Demir, “Quasiperiodic oscillations, weak field lensing and shadow cast around black holes in Symmergent gravity”, Annals of Physics 454, 169335 (2023). arXiv:2206.06599 [gr-qc], DOI: 10.1016/j.aop.2023.169335
[15] R. C. Pantig, A. Övgün, and D. Demir, “Testing Symmergent gravity through the shadow image and weak field photon deflection by a rotating black hole using the M87 and Sgr. A results”, The European Physical Journal C 83, 250 (2023). arXiv:2208.02969 [gr-qc], DOI: 10.1140/epjc/s10052-023-11400-6
[16] D. Durmus, “Emergent Gravity as the Eraser of Anomalous Gauge Boson Masses, and QFT-GR Concord”, Gen. Rel. Grav. 53, 22 (2021). arXiv:2101.12391 [gr-qc], DOI: 10.1007/s10714-021-02797-0
[17] D. Durmus, “Symmergent Gravity, Seesawic New Physics, and their Experimental Signatures”, Adv. High Energy Phys. 2019, 4652048 (2019). arXiv:1901.07244 [hep-ph], DOI: 10.1155/2019/4652048
[18] A. D. Durmus, “Curvature-Restored Gauge Invariance and Ultraviolet Naturalness”, Adv. High Energy Phys. 2016, 6727805 (2016). arXiv:1605.00377 [hep-ph], DOI: 10.1155/2016/6727805
[19] A. Ditta, F. Javed, G. Mustafa, S. K. Maurya, D. Sofuoğlu, and F. Atamurotov, “Thermal analysis of charged Symmergent black hole with logarithmic correction” Chin. J. Phys. 88, 287 (2024). DOI: 10.1016/j.cjph.2024.01.019
[20] R. Ali, R. Babar, Z. Akhtar, and A. Övgün, “Thermodynamics and logarithmic corrections of symmergent black holes” Results Phys. 46, 106300 (2023). [arXiv:2302.12875 [gr-qc]], DOI: 10.1016/j.rinp.2023.106300
[21] B. Puliçe, R. C. Pantig, A. Övgün, and D. Demir, “Constraints on charged symmergent black hole from shadow and lensing”, Class. Quant. Grav. 40(19), 195003 (2023). [arXiv:2308.08415 [gr-qc]], DOI: 10.1088/1361-6382/acf08c
Volume 4, Issue 2
June 2024
Pages 55-62
  • Receive Date: 24 May 2024
  • Revise Date: 14 June 2024
  • Accept Date: 28 June 2024