Abstract
A new dyonic solution for black holes with spherically symmetric configurations in general relativity is obtained. We study black holes possessing electric and magnetic charges, and the source of the gravitational field is an electromagnetic field obeying logarithmic electrodynamics. This particular form of nonlinear electrodynamics is of interest because of its simplicity. Corrections to Coulomb’s law and the Reissner-Nordström solution are found. We calculate the Hawking temperature of black holes and show that second-order phase transitions occur for some parameters of the model.
Similar content being viewed by others
References
S. Mignemi, Phys. Rev. D 51, 934 (1995).
D. P. Jatkar, S. Mukherji and S. Panda, Nucl. Phys. B 484, 223 (1997).
D. Garfinkle, G. T. Horowitz, and A. Strominger, Phys. Rev. D 43, 3140 (1991). Erratum: Phys. Rev. D 45, 3888 (1992).
D. A. Lowe and A. Strominger, Phys. Rev. Lett. 73, 1468 (1994).
A. Sen, Nucl. Phys. B 404, 109 (1993).
M. Cvetic and A. A. Tseytlin, Phys. Rev. D 53, 5619 (1996). Erratum: Phys. Rev. D 55, 3907 (1997).
S. Mignemi and N. R. Stewart, Phys. Rev. D 47, 5259 (1993).
S. Mignemi, Phys. Rev. D 51, 934 (1995).
A. H. Chamseddine and W. A. Sabra, Phys. Lett. B 485, 301 (2000).
D._D. K. Chow and G. Compere, Phys. Rev. D 89, 065003 (2014).
P. Meessen, T. Ortn, and P. F. Ramrez, JHEP 1710, 066 (2017).
S. Panahiyan, S. H. Hendi, and N. Riazi, Nucl. Phys. B 938, 388 (2019).
S. J. Poletti, J. Twamley, and D. L. Wiltshire, Class. Quantum Grav. 12, 1753 (1995). Erratum: Class. Quantum Grav. 12, 2355 (1995).
A. D. Shapere, S. Trivedi, and F. Wilczek, Mod. Phys. Lett. A 6, 2677 (1991).
H. Lu, Y. Pang, and C.N. Pope, JHEP 1311, 033 (2013).
M. Bravo-Gaete and M. Hassaine, Phys. Rev. D 97, 024020 (2018).
S. A. Hartnoll and P. Kovtun, Phys. Rev. D 76, 066001 (2007).
S. A. Hartnoll, P. K. Kovtun, M. Muller, and S. Sachdev, Phys. Rev. B 76, 144502 (2007).
M. M. Caldarelli, O. J. C. Dias, and D. Klemm, JHEP 0903, 025 (2009).
T. Albash and C. V. Johnson, JHEP 0809, 121 (2008).
K. Goldstein, N. Iizuka, S. Kachru, S. Prakash, S. P. Trivedi, and A. Westphal, JHEP 1010, 027 (2010).
S. Dutta, A. Jain, and R. Soni, JHEP 1312, 060 (2013).
S. H. Hendi, N. Riazi, and S. Panahiyan, Ann. Phys. (Berlin) 530, 1700211 (2018).
M. Born and L. Infeld, Proc. R. Soc. London 144, 425 (1934).
H. H. Soleng, Phys. Rev. D 52, 6178 (1995).
I. Dymnikova, Gen. Rev. Grav. 24, 235 (1992).
I. Dymnikova, Class. Quantum Grav. 21, 4417 (2004).
I. Dymnikova and E. Galaktionov, Class. Quantum Grav. 32, 165015 (2015).
D. M. Gitman and A. E. Shabad, Eur. Phys. J. C 74, 3186 (2014).
C. V. Costa, D. M. Gitman, and A. E. Shabad, Phys. Scripta 90, 074012 (2015).
S. I. Kruglov, Ann. Phys. 353, 299 (2015).
S. I. Kruglov, Ann. Phys. (Berlin) 527, 397 (2015).
S. I. Kruglov, Commun. Theor. Phys. 66, 59 (2016).
S. I. Kruglov, Eur. Phys. J. C 75, 88 (2015).
S. I. Kruglov, Mod. Phys. Lett. A 32, 1750201 (2017).
W. Heisenberg and H. Euler, Z. Phys. 98, 714 (1936).
R. Pellicer and R. J. Torrence, J. Math. Phys. 10, 1718 (1969).
H. P. de Oliveira, Class. Quantum Grav. 11, 1469 (1994).
E. Ayón-Beato and A. Garćia, Phys. Rev. Lett. 80, 5056 (1998).
K. A. Bronnikov, V. N. Melnikov, G. N. Shikin, and K. P. Staniukovich, Ann. Phys. 118, 84 (1979).
K. A. Bronnikov, Phys. Rev. D 63, 044005 (2001).
K. A. Bronnikov, Phys. Rev. Lett. 85, 4641 (2000).
K. A. Bronnikov, G. N. Shikin, and E. N. Sibileva, Grav. Cosmol. 9, 169 (2003).
A. Burinskii and S. R. Hildebrandt, Phys. Rev. D 65, 104017 (2002).
J. Diaz-Alonso and D. Rubiera-Garcia, Phys. Rev. D 81, 064021 (2010).
N. Breton, Gen. Rel. Grav. 37, 643 (2005).
N. Breton, Phys. Rev. D 67, 124004 (2003).
M. Novello, S. E. Perez Bergliaffa, and J. M. Salim, Class. Quantum Grav. 17, 3821 (2000).
R. Garcia-Salcedo, T. Gonzalez, and I. Quiros, Phys. Rev. D 89, 084047 (2014).
S. H. Hendi, Ann. Phys. 333, 282 (2013).
J._P. S. Lemos and V. T. Zanchin, Phys. Rev. D 83, 124005 (2011).
L. Balart and E. C. Vagenas, Phys. Rev. D 90, 124045 (2014).
S. I. Kruglov, Phys. Rev. D 94, 044026 (2016).
S. I. Kruglov, Europhys. Lett. 115, 60006 (2016).
S. I. Kruglov, Ann. Phys. (Berlin) 528, 588 (2016).
S. I. Kruglov, Int. J. Mod. Phys. D 26, 1750075 (2017).
S. I. Kruglov, Int. J. Geom. Meth. Mod. Phys. 12, 1550073 (2015).
H. Yajima and T. Tamaki, Phys. Rev. D 63, 064007 (2001).
K. A. Bronnikov, Grav. Cosmol. 23, 343 (2017).
K. A. Bronnikov, Int. J. Mod. Phys. D 27, 1841005 (2018).
S. I. Kruglov, Universe 4, 66 (2018).
S. I. Kruglov, Int. J. Mod. Phys. A 33, 1850023 (2018).
S. I. Kruglov, Int. J. Mod. Phys. A 32, 1750147 (2017).
S. I. Kruglov, Ann. Phys. (Berlin) 529, 1700073 (2017).
S. I. Kruglov, Ann. Phys. 383, 550 (2017).
R. García-Salcedo and N. Breton, Int. J. Mod. Phys. A 15, 4341 (2000).
C. S. Camara, M. R. de Garcia Maia, J. C. Carvalho, and J. A. S. Lima, Phys. Rev. D 69, 123504 (2004).
E. Elizalde, J. E. Lidsey, S. Nojiri, and S. D. Odintsov, Phys. Lett. B 574, 1 (2003).
M. Novello, S. E. Perez Bergliaffa, and J. M. Salim, Phys. Rev. D 69, 127301 (2004).
M. Novello, E. Goulart, J. M. Salim, and S. E. Perez Bergliaffa, Class. Quantum Grav. 24, 3021 (2007).
D. N. Vollick, Phys. Rev. D 78, 063524 (2008).
S. I. Kruglov, Phys. Rev. D 92, 123523 (2015).
S. I. Kruglov, Int. J. Mod. Phys. A 32, 1750071 (2017).
S. I. Kruglov, Int. J. Mod. Phys. A 31, 1650058 (2016).
S. I. Kruglov, Int. J. Mod. Phys. D 25, 1640002 (2016).
G. W. Gibbons and D. Rasheed, Nucl. Phys. B 454, 185 (1995).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Kruglov, S.I. Dyonic Black Holes with Nonlinear Logarithmic Electrodynamics. Gravit. Cosmol. 25, 190–195 (2019). https://doi.org/10.1134/S0202289319020105
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0202289319020105