Advances in Astrophysics

Download PDF (230.1 KB) PP. 12 - 17 Pub. Date: February 1, 2020

DOI: 10.22606/adap.2020.51002

• Bei Sha^*
  School of Physics and Electronic Engineering, Qilu Normal University, Jinan, China
• Zhi-E Liu
  School of Physics and Electronic Engineering, Qilu Normal University, Jinan, China
• Xia Tan
  School of Physics and Electronic Engineering, Qilu Normal University, Jinan, China
• Yu-Zhen Liu
  School of Physics and Electronic Engineering, Qilu Normal University, Jinan, China
• Jie Zhang
  School of Physics and Electronic Engineering, Qilu Normal University, Jinan, China

The scalar field equation based on Lorentz invariance violation is generalized to curved space-time, and is corrected by aether-like terms. Then the modified Hamilton-Jacobi equation is obtained under the condition of semi-classical approximation, and by which the characteristics of Hawking tunneling radiation of global monopole charged black hole are researched. The results show that the effects of aether-like terms may increase the temperature and decrease the entropy of the black hole compared to before correction. This work can also help to understand the properties of Lorentz invariance violation in curved space-time.

Modified scalar field equation, Hamilton-Jacobi equation, Hawking radiation, corrected entropy.

[1] S. W. Hawking, “Black hole explosions?” Nature, vol. 248, pp. 30–31, 1974.

[2] ——, “Particle creation by black holes,” Communications in Mathematical Physics, vol. 43, no. 2, pp. 199–220, 1975.

[3] T. Damour and R. R, “Black-hole evaporation in the klein-sauter-heisenberg-euler formalism,” Physical Review D, vol. 14, no. 2, pp. 332–334, 1976.

[4] S. Sannan, “Heuristic derivation of the probability distributions of particles emitted by a black hole,” General Relativity and Gravitation, vol. 20, no. 3, pp. 239–246, 1988.

[5] Z. Zhao and Y. X. Gui, “The connection between unruh scheme and damour-ruffini scheme in rindler spacetime and eÇ-eA space-time,” Il Nuovo Cimento B, vol. 109, no. 4, pp. 355–361, 1994.

[6] Z. Zhao and X. X. Dai, “Hawking radiation from a non-static black hole,” Chinese physics Letters, vol. 8, no. 10, p. 548, 1991.

[7] J. y. Zhu and Z. Zhao, “An important improvement on damour-ruffini approach dealing with hawking effect,” Chinese physics Letters, vol. 10, no. 8, p. 510, 1993.

[8] Z. Zhao and J. Y. Zhu, “Quantum thermal effect of arbitrarily accelerating kinnersley black hole,” International Journal of Theoretical Physics, vol. 34, no. 10, pp. 2139–2048, 1995.

[9] Z. H. Li and Z. Zhao, “Hawking effect of vaidya black hole in higher dimensional space-time,” Chinese Physics Letters, vol. 11, no. 1, pp. 8–11, 1994.

[10] S. Z. Yang, J. Y. Zhu, and Z. Zhao, “The dependence of hawking thermal spectrum on angular variables,” Acta Physica Sinica (Overseas Edition), vol. 4, no. 2, p. 147, 1995.

[11] P. Kraus and F. Wilczek, “Self-interaction correction to black hole radiance,” Nuclear Physics B, vol. 433, no. 2, pp. 403–420, 1995.

[12] M. K. Parikh and F. Wiltzek, “Hawking radiation as tunneling,” Physical Review Letters, vol. 85, no. 4, pp. 5042–5049, 2000.

[13] K. Srinivasan and T. Padmanabhan, “Particle production and complex path analysis,” Physical Review D, vol. 60, no. 2, p. 24007, 1999.

[14] J. Y. Zhang and Z. Zhao, “Massive particles’ black hole tunneling and de sitter tunneling,” Nuclear Physics B, vol. 725, no. 1-2, pp. 173–180, 2005.

[15] S. Z. Yang and D. Y. Chen, “A new method to study hawking tunneling radiation of the charged particles from ressiner-nordstr?m black hole,” International Journal of Theoretical Physics, vol. 46, no. 7, pp. 1747–1752, 2007.

[16] D. Y. Yang, S Z andChen, “Tunnelling effect of the non-stationary kerr black hole,” Chinese Physics B, vol. 17, no. 3, p. 817, 2008.

[17] X. N. Wu and S. J. Gao, “Tunneling effect near a weakly isolated horizon,” Physical Review D, vol. 75, no. 15, p. 044027, 2007.

[18] R. Kenner and R. B. Mann, “Fermions tunnelling from black holes,” Classical Quantum Gravity, vol. 25, no. 9, p. 095014, 2008.

[19] ——, “Charged fermions tunnelling from kerr-newman black holes,” Physics Letters B, vol. 665, no. 4, pp. 277–283, 2008.

[20] K. Lin and S. Z. Yang, “Fermions tunnelling of a new form finslerian black hole,” Chinese physics Letters, vol. 26, no. 1, p. 010401, 2009.

[21] H. L. Li, S. Z. Yang, T. J. Zhou, and R. Lin, “Fermion tunneling from a vaidya black hole,” Europhysics Letters, vol. 84, no. 2, p. 20003, 2008.

[22] A. Yale and R. B. Mann, “Gravitinos tunneling from black holes,” Physics Letters B, vol. 673, no. 2, pp. 168–172, 2009.

[23] K. Lin and S. Z. Yang, “Fermion tunneling from higher-dimensional black holes,” Physical Review D, vol. 79, no. 6, p. 064035, 2009.

[24] ——, “arfermions tunneling of higher-dimensional kerr-anti-de sitter black hole with one rotational parameter,” Physics Letters B, vol. 674, no. 2, pp. 127–130, 2009.

[25] M. Gomes, J. R. Nazcimento, A. Y. Petrov, and A. J. d. Silva, “On the aether-like lorentz-breaking actions,” Physical Review D, vol. 81, no. 4, p. 045081, 2010.

[26] S. Z. Yang and K. Lin, “Hawking tunneling radiation in lorentz-violating scalar field theory,” Acta Physica Sinica, vol. 68, no. 6, p. 060401, 2019.

[27] J. Pu, S. Z. Yang, and K. Lin, “Lorentz-violating theory and tunneling radiation characteristics of dirac particles in curved spacetime of vaidya black hole,” Acta Physica Sinica, vol. 68, no. 19, p. 190401, 2019.

[28] M. B. Cruz, E. R. Bezerra de Mello, and A. Y. Petrov, “Casimir effects in lorentz-violating scalar field theory,” Physical Review D, vol. 96, no. 4, p. 045019, 2017.

[29] M. B. Cruz, B. de Mello E R, and A. Y. Petrov, “Thermal corrections to the casimir energy in a lorentzbreaking scalar field theory,” Modern Physics Letters A, vol. 33, no. 20, p. 1850115, 2018.

[30] L. H. C. Borges, F. A. Barone, and A. F. Ferrari, “The point-charge self-energy in a nonminimal lorentzviolating maxwell electrodynamics,” Europhysics Letters, vol. 122, no. 3, p. 31002, 2018.

[31] B. R. Edwards and V. A. Kostelecky, “Riemannlcfinsler geometry and lorentz-violating scalar fields,” Physics Letters B, vol. 786, pp. 319–326, 2018.

[32] C. J. Gao and Y. G. Shen, “De broglie-bohm quantization of the reissner-nordstrom black hole with a global monopole in the background of de sitter space-time,” Chinese Physics Letters, vol. 19, no. 4, pp. 477–480, 2002.