Asymptotically charged BTZ black holes in gravity's rainbow

详细信息    查看全文

• 作者：S. H. Hendi
• 关键词：Gravity’s rainbow ; BTZ black hole ; Nonlinear electrodynamics ; Thermodynamics
• 刊名：General Relativity and Gravitation
• 出版年：2016
• 出版时间：April 2016
• 年：2016
• 卷：48
• 期：4
• 全文大小：453 KB
• 参考文献：1.Awad, A., Ali, A.F., Majumder, B.: JCAP 1310, 052 (2013)ADS CrossRef
  2.Ashour, A., Faizal, M., Ali, A. F., Hammad, F.: arXiv:​1602.​04926
  3.Ali, A.F., Faizal, M., Majumder, B.: Europhys. Lett. 109, 20001 (2015)CrossRef
  4.Ali, A.F., Khalil, M.M.: Europhys. Lett. 110, 20009 (2015)CrossRef
  5.Ali, A.F., Faizal, M., Khalil, M.M.: JHEP 1412, 159 (2014)ADS CrossRef
  6.Ali, A.F., Faizal, M., Khalil, M.M.: Nucl. Phys. B 894, 341 (2015)ADS CrossRef
  7.Ali, A.F., Faizal, M., Majumder, B., Mistry, R.: Int. J. Geom. Methods Mod. Phys. 12, 1550085 (2015)MathSciNet CrossRef
  8.Ali, A.F., Faizal, M., Khalil, M.M.: Phys. Lett. B 743, 295 (2015)ADS MathSciNet CrossRef
  9.Kostelecky, V.A., Samuel, S.: Phys. Rev. D 39, 683 (1989)ADS CrossRef
  10.Gambini, R., Pullin, J.: Phys. Rev. D 59, 124021 (1999)ADS MathSciNet CrossRef
  11.Carroll, S.M., Harvey, J.A., Kostelecky, V.A., Lane, C.D., Okamoto, T.: Phys. Rev. Lett. 87, 141601 (2001)ADS MathSciNet CrossRef
  12.Amelino-Camelia, G., Ellis, J.R., Mavromatos, N.E., Nanopoulos, D.V., Sarkar, S.: Nature 393, 763 (1998)ADS CrossRef
  13.Hooft, G’t: Class. Quantum Gravity 13, 1023 (1996)ADS CrossRef
  14.Garattini, R., Saridakis, E.N.: Eur. Phys. J. C 75, 343 (2015)ADS CrossRef
  15.Mukohyama, S.: JHEP 0705, 048 (2007)ADS MathSciNet CrossRef
  16.Horava, P.: Phys. Rev. D 79, 084008 (2009)ADS MathSciNet CrossRef
  17.Horava, P.: Phys. Rev. Lett. 102, 161301 (2009)ADS MathSciNet CrossRef
  18.Amelino-Camelia, G.: Int. J. Mod. Phys. D 11, 35 (2002)ADS MathSciNet CrossRef
  19.Magueijo, J., Smolin, L.: Phys. Rev. Lett. 88, 190403 (2002)ADS CrossRef
  20.Faizal, M.: Int. J. Geom. Methods Mod. Phys. 12, 1550022 (2015)MathSciNet CrossRef
  21.Faizal, M., Ali, A.F., Nassar, A.: J. Mod. Phys. A 30, 1550183 (2015)ADS CrossRef
  22.Ali, A.F., Faizal, M., Khalil, M.M.: JCAP 1509, 025 (2015)MathSciNet CrossRef
  23.Faizal, M., Majumder, B.: Ann. Phys. 357, 49 (2015)ADS MathSciNet CrossRef
  24.Pramanik, S., Moussa, M., Faizal, M., Ali, A.F.: Ann. Phys. 362, 24 (2015)ADS MathSciNet CrossRef
  25.Mohammadi, A., Ali, A.F., Golanbari, T., Aghamohammadi, A., Saaidi, Kh., Faizal, M.: arXiv:​1505.​04392
  26.Faizal, M., Kruglov, S.I.: Int. J. Mod. Phys. D 25, 1650013 (2016)ADS MathSciNet CrossRef
  27.Tawfik, A.N., El Dahab, E.A.: Int. J. Mod. Phys. A 30, 1550030 (2015)ADS CrossRef
  28.Gangopadhyay, S., Dutta, A., Faizal, M.: Europhys. Lett. 112, 20006 (2015)ADS CrossRef
  29.Bargueno, P., Vagenas, E.C.: Phys. Lett. B 742, 15 (2015)ADS CrossRef
  30.Carr, B., Mureika, J., Nicolini, P.: JHEP 1507, 05 (2015)ADS
  31.Hammad, F.: Phys. Rev. D 92, 044004 (2015)ADS MathSciNet CrossRef
  32.Faizal, M., Mandal, B.P.: Gravit. Cosmol. 21, 270 (2015)ADS MathSciNet CrossRef
  33.Faizal, M., Khalil, M.M., Das, S.: Eur. Phys. J. C 76, 30 (2016)ADS CrossRef
  34.Amati, D., Ciafaloni, M., Veneziano, G.: Phys. Lett. B 216, 41 (1989)ADS CrossRef
  35.Garay, L.J.: Int. J. Mod. Phys. A 10, 145 (1995)ADS CrossRef
  36.Ali, A.F., Das, S., Vagenas, E.C.: Phys. Lett. B 678, 497 (2009)ADS MathSciNet CrossRef
  37.Ali, A.F., Das, S., Vagenas, E.C.: Phys. Rev. D 84, 044013 (2011)ADS CrossRef
  38.Magueijo, J., Smolin, L.: Class. Quantum Gravit. 21, 1725 (2004)ADS MathSciNet CrossRef
  39.Garattini, R., Mandanici, G.: Phys. Rev. D 85, 023507 (2012)ADS CrossRef
  40.Leiva, C., Saavedra, J., Villanueva, J.: Mod. Phys. Lett. A 24, 1443 (2009)ADS MathSciNet CrossRef
  41.Li, H., Ling, Y., Han, X.: Class. Quantum Gravit. 26, 065004 (2009)ADS MathSciNet CrossRef
  42.Ali, A.F.: Phys. Rev. D 89, 104040 (2014)ADS CrossRef
  43.Barrow, J.D., Magueijo, J.: Phys. Rev. D 88, 103525 (2013)ADS CrossRef
  44.Liu, C.Z., Zhu, J.Y.: Gen. Relativ. Gravit. 40, 1899 (2008)ADS CrossRef
  45.Hendi, S.H., Faizal, M.: Phys. Rev. D 92, 044027 (2015)ADS MathSciNet CrossRef
  46.Amelino-Camelia, G., Ellis, J.R., Mavromatos, N., Nanopoulos, D.V.: Int. J. Mod. Phys. A 12, 607 (1997)ADS MathSciNet CrossRef
  47.Amelino-Camelia, G.: Living Rev. Relativ. 16, 5 (2013)ADS CrossRef
  48.Banados, M., Teitelboim, C., Zanelli, J.: Phys. Rev. Lett. 69, 1849 (1992)ADS MathSciNet CrossRef
  49.Banados, M., Henneaux, M., Teitelboim, C., Zanelli, J.: Phys. Rev. D 48, 1506 (1993)ADS MathSciNet CrossRef
  50.Carlip, S.: Class. Quantum Gravit. 12, 2853 (1995)ADS MathSciNet CrossRef
  51.Witten, E.: Adv. Theor. Math. Phys. 2, 505 (1998)MathSciNet CrossRef
  52.Ashtekar, A., Wisniewski, J., Dreyer, O.: Adv. Theor. Math. Phys. 6, 507 (2002)MathSciNet CrossRef
  53.Carlip, S.: Class. Quantum Gravit. 22, R85 (2005)ADS MathSciNet CrossRef
  54.Sarkar, T., Sengupta, G., Nath Tiwari, B.: JHEP 0611, 015 (2006)ADS CrossRef
  55.Setare, M.R.: Eur. Phys. J. C 49, 865 (2007)ADS MathSciNet CrossRef
  56.Witten, E.: arXiv:​0706.​3359
  57.Ma, M.S., Zhao, R.: Phys. Rev. D 89, 044005 (2014)ADS CrossRef
  58.Moon, T., Myung, Y.S.: Phys. Rev. D 88, 124014 (2013)ADS CrossRef
  59.Lemos, J.P.S., Quinta, G.M.: Phys. Rev. D 89, 084051 (2014)ADS CrossRef
  60.Bravo-Gaete, M., Hassaine, M.: Phys. Rev. D 90, 024008 (2014)ADS CrossRef
  61.Mertens, T.G., Verschelde, H., Zakharov, V.I.: JHEP 1406, 156 (2014)ADS MathSciNet CrossRef
  62.Shu, F.W., Lin, K., Wang, A., Wu, Q.: JHEP 1404, 056 (2014)ADS CrossRef
  63.Singh, D.V.: Int. J. Mod. Phys. D 24, 1550001 (2015)ADS CrossRef
  64.Herrera, Y., Hurovich, V., Santillan, O., Simeone, C.: Phys. Rev. D 92, 085042 (2015)ADS CrossRef
  65.Lemos, J.P.S., Lopes, F.J., Minamitsuji, M., Rocha, Jorge V.: Phys. Rev. D 92, 064012 (2015)ADS CrossRef
  66.Hendi, S.H.: Eur. Phys. J. C 71, 1551 (2011)ADS
  67.Hendi, S.H.: Prog. Theor. Phys. 127, 907 (2012)ADS CrossRef
  68.Hendi, S.H.: Int. J. Theor. Phys. 53, 4170 (2014)MathSciNet CrossRef
  69.Hendi, S.H., Eslam Panah, B., Saffari, R.: Int. J. Mod. Phys. D 23, 1450088 (2014)ADS CrossRef
  70.Sheykhi, A., Hendi, S.H., Salarpour, S.: Phys. Scr. 89, 105003 (2014)ADS CrossRef
  71.Hendi, S.H., Panahiyan, S., Eslam Panah, B.: Adv. High Energy Phys. 2015, 743086 (2015)CrossRef
  72.Hendi, S.H., Panahiyan, S., Mamasani, R.: Gen. Relativ. Gravit. 47, 91 (2015)ADS MathSciNet CrossRef
  73.Leiva, C., Espinoza, I.: arXiv:​1006.​2406
  74.Born, M., Infeld, L.: Proc. R. Soc. Lond. A 144, 425 (1934)ADS CrossRef
  75.Soleng, H.H.: Phys. Rev. D 52, 6178 (1995)ADS MathSciNet CrossRef
  76.Hendi, S.H.: JHEP 1203, 065 (2012)ADS MathSciNet CrossRef
  77.Hendi, S.H.: Ann. Phys. 333, 282 (2013)ADS MathSciNet CrossRef
  78.Hendi, S.H.: Ann. Phys. 346, 42 (2014)ADS MathSciNet CrossRef
  79.Hassaine, M., Martinez, C.: Phys. Rev. D 75, 027502 (2007)ADS MathSciNet CrossRef
  80.Hendi, S.H., Rastegar-Sedehi, H.R.: Gen. Relativ. Gravit. 41, 1355 (2009)ADS MathSciNet CrossRef
  81.Hendi, S.H.: Phys. Lett. B 677, 123 (2009)ADS MathSciNet CrossRef
  82.Hassaine, M., Martinez, C.: Class. Quantum Gravit. 25, 195023 (2008)ADS MathSciNet CrossRef
  83.Hendi, S.H.: Prog. Theor. Phys. 124, 493 (2010)ADS CrossRef
  84.Hendi, S.H.: Eur. Phys. J. C 69, 281 (2010)ADS CrossRef
  85.Hendi, S.H.: Phys. Rev. D 82, 064040 (2010)ADS CrossRef
  86.Delphenich, D.H.: arXiv:​hep-th/​0309108
  87.Delphenich, D.H.: arXiv:​hep-th/​0610088
  88.Altshuler, B.L.: Class. Quantum Gravit. 7, 189 (1990)ADS MathSciNet CrossRef
  89.Fradkin, E.S., Tseytlin, A.A.: Phys. Lett. B 163, 123 (1985)ADS MathSciNet CrossRef
  90.Matsaev, R.R., Rahmanov, M.A., Tseytlin, A.A.: Phys. Lett. B 193, 207 (1987)ADS MathSciNet CrossRef
  91.Kats, Y., Motl, L., Padi, M.: JHEP 0712, 068 (2007)ADS MathSciNet CrossRef
  92.Cai, R.G., Nie, Z.Y., Sun, Y.W.: Phys. Rev. D 78, 126007 (2008)ADS CrossRef
  93.Ritz, A., Delbourgo, R.: Int. J. Mod. Phys. A 11, 253 (1996)ADS CrossRef
  94.Boillat, G.: J. Math. Phys. 11, 941 (1970)ADS CrossRef
  95.Boillat, G.: J. Math. Phys. 11, 1482 (1970)ADS CrossRef
  96.Gibbons, G.W., Rasheed, D.A.: Nucl. Phys. B 454, 185 (1995)ADS MathSciNet CrossRef
  97.Heisenberg, W., Euler, H.: Z. Phys. 98, 714 (1936)ADS CrossRef
  98.Jing, J., Chen, S.: Phys. Lett. B 686, 68 (2010)ADS MathSciNet CrossRef
  99.Gregory, R., Kanno, S., Soda, J.: JHEP 0910, 010 (2009)ADS MathSciNet CrossRef
  100.Pan, Q.Y., Wang, B., Papantonopoulos, E., Oliveira, J., Pavan, A.: Phys. Rev. D 81, 106007 (2010)ADS CrossRef
  101.Dey, S., Lala, A.: Ann. Phys. 354, 165 (2015)ADS MathSciNet CrossRef
  102.Zhao, Z., Pan, Q., Chen, S., Jing, J.: Nucl. Phys. B 871, 98 (2013)ADS MathSciNet CrossRef
  103.Hendi, S.H.: Phys. Lett. B 690, 220 (2010)ADS MathSciNet CrossRef
  104.Jing, J., Pan, Q., Chen, S.: JHEP 1111, 045 (2011)ADS CrossRef
  105.Hendi, S.H., Vahidinia, M.H.: Phys. Rev. D 88, 084045 (2013)ADS CrossRef
  106.Corless, R.M., Gonnet, G.H., Hare, D.E.G., Jeffrey, D.J., Knuth, D.E.: Adv. Comput. Math. 5, 329 (1996)MathSciNet CrossRef
  107.Bekenstein, J.D.: Lett. Nuovo Cim. 4, 737 (1972)ADS CrossRef
  108.Bekenstein, J.D.: Phys. Rev. D 7, 2333 (1973)ADS MathSciNet CrossRef
  109.Hawking, S.W., Hunter, C.J.: Phys. Rev. D 59, 044025 (1999)ADS MathSciNet CrossRef
  110.Cvetic, M., Gubser, S.S.: JHEP 9904, 024 (1999)ADS MathSciNet CrossRef
  111.Caldarelli, M.M., Cognola, G., Klemm, D.: Class. Quantum Gravit. 17, 399 (2000)ADS MathSciNet CrossRef
  112.Gubser, S.S., Mitra, I.: JHEP 0108, 018 (2001)ADS MathSciNet CrossRef
  113.Ling, Y., Li, X., Zhang, H.: Mod. Phys. Lett. A 22, 2749 (2007)ADS MathSciNet CrossRef
  114.Gim, Y., Kim, W.: JCAP 1410, 003 (2014)ADS CrossRef
  115.Mu, B., Wang, P., Yang, H.: JCAP 1511, 045 (2015)ADS MathSciNet CrossRef
  
• 作者单位：S. H. Hendi (1) (2)
  
  1. Physics Department and Biruni Observatory, College of Sciences, Shiraz University, Shiraz, 71454, Iran
  2. Research Institute for Astrophysics and Astronomy of Maragha (RIAAM), P.O. Box 55134-441, Maragha, Iran
  
• 刊物类别：Physics and Astronomy
• 刊物主题：Physics
  Mathematical and Computational Physics
  Relativity and Cosmology
  Differential Geometry
  Quantum Physics
  Astronomy, Astrophysics and Cosmology
  
• 出版者：Springer Netherlands
• ISSN：1572-9532

文摘

Motivated by the wide applications of BTZ black holes and interesting results of gravity’s rainbow, we consider three dimensional rainbow solutions and investigate their thermodynamic properties. In addition to investigate black holes thermodynamics related to AdS/CFT correspondence, one may regard gravity’s rainbow to encode quantum gravity effects into the black hole solutions. We take into account the various models of linear and nonlinear electrodynamics and study their effects on the gravity’s rainbow spacetime. We also examine thermal stability and find that obtained three dimensional rainbow black holes are thermally stable.