Spining Magnetic Brane of Quartic Quasi-Topological Gravity in the Presence of Nonlinear Electrodynamics

Document Type : Research Paper

Authors

1 Department of Physics, Payame Noor University (PNU), Jahrom, Iran

2 Department of Physics, Payame Noor University, shiraz, Iran

3 Department of Physics, Jahrom University, Jahrom, Iran

4 Department of Physics, Shiraz Payame Noor University, Shiraz, Iran

Abstract

In this paper, we obtain a new class of $(n+1)$-dimensional magnetic brane solutions of quasi-topological gravity in the presence of exponential and logarithmic nonlinear electrodynamics by a spinning magnetic branes with one or more rotation parameters. For the spinning brane, the brane has a net electric charge, when one or more rotation are non zero, and also this electric charge is proportional to the magnitude of the rotation parameter. However, when all the rotation parameters are zero (static brane), the electric field vanishes and the brane has no net electric charge. In the class of solutions, we have a spacetime with an angular magnetic field. These solutions are horizonless and have no curvature, but there is a conic singularity with a deficit angle. In addition, these two forms of nonlinear electrodynamics theory, have the same behaviors for the obtained solutions. Finally, we use the counterterm method and compute conserved quantities of these spacetimes.

Keywords

References

[1] Starobinsky, A.A. 1980, Phys. Lett. B, 91, 99
[2] Carroll, S.M., Duvvuri, V., Trodden, M & Turner, M. S. 2004, Phys. Rev. D, 70, 043528
[3] Fay, S., Tavakol, R & Tsujikawa, S. 2007, Phys. Rev. D, 75, 063509
[4] Nojiri, S & Odintsov, S. D. 2006, Phys. Rev. D, 74, 086005
[5] Nojiri, S & Odintsov, S. D. 2007, J. Phys. Conf. Ser, 66, 012005
[6] Capozziello, S., Nojiri, S., Odintsov, S .D & Troisi, A. 2006, Phys. Lett. B, 639 135
[7] Cognola, G., Elizalde, E., Nojiri, S., Odintsov, S. D & Zerbini, S. 2006, Phys. Rev. D, 73, 084007
[8] Boehmer, C. G., Harko, T & Lobo, F. S. N. 2008, Astropart. Phys. 29, 386
[9] Capozziello, S., Cardone, V.F and Troisi, A. 2006, JCAP, 0608, 001
[10] Dehghani, M. H., Bazrafshan, A., Mann, R. B., Mehdizadeh, M. R., Ghanaatian, M & Vahidinia, M. H. 2012, Phys. Rev. D, 85, 104009
[11] Kovtun, P., Son, D. T & Starinets, A. O. 2005, Phys. Rev. Lett, 94, 111601
[12] Kovtun, P., Son, D. T & Starinets, A. O. 2003, J. High Energy Phys, 10, 064
[13] Buchel, A. 2005, Phys. Lett. B, 609 609, 392
[14] Landsteiner, K & Mas, J. 2007, J. High Energy Phys, 07, 088
[15] Aros, R., Romo, M & Zamorano, N. 2007, Phys. Rev. D, 75, 067501
[16] Chen, F., Dasgupta, K., Lapan, J. M., Seo, J & Tatar, R. 2013, Phys. Rev. D, 88, 066003
[17] Dyadichev, V. V., Gal'tsov, D. V., Zorin, A. G & Zotov, M. Yu. 2002, Phys. Rev. D, 65, 084007
[18] Garcia-Salcedo, R & Breton, N. 2003, Class. Quant. Grav, 20, 5425
[19] Vollick, D. N. 2003, Gen. Rel. Grav, 35, 1511
[20] Garcia-Salcedo, R & Breton, N. 2005, Class. Quant. Grav, 22, 4783
[21] Fradkin, E & Tseytlin, A. 1985, Phys. Lett. B, 163, 123
[22] Andreev, O & Tseytlin, A. 1988, Nucl. Phys. B, 311, 221
[23] Callan, C., Lovelace, C., Nappi, C & Yost, S. 1988, Nucl. Phys. B, 308, 221
[24] Bergshoe_, E., Sezgin, E., Pope, C & Townsend, P. 1987, Phys. Lett. B, 188, 70
[25] Matsaev, R., Rahmanov, M & Tseytlin, A. 1987, Phys. Lett. B, 193 205
[26] Hendi, S. H & Sheykhi, A. 2013, Phys. Rev. D, 88, 044044
[27] Hendi, S. H. 2012, J. High Energy Phys, 03, 065
[28] Soleng, H.H. 1995, Phys. Rev. D, 52, 6178
[29] Sheykhi, A., Naeimipour, F & Zebarjad, S.M. 2015, Phys. Rev. D, 91, 124057
[30] Sheykhi, A., Naeimipour, F & Zebarjad, S. M. 2015, Phys. Rev. D, 92, 124054
[31] Sheykhi, A., Naeimipour, F & Zebarjad, S. M. 2016, General Relativity and Gravitation, 48, 33
[32] Sheykhi, A., Naeimipour, F & Zebarjad, S. M. 2016 General Relativity and Gravitation, 48, 96
[33] Sheykhi, A & Hajkhalili, S. 2014, Phys. Rev. D, 89, 104019
[34] Dehghani, M. H., Alinejadi, N & Hendi, S. H. 2008, Phys. Rev. D, 77, 104025
[35] Hendi, S. H & Dehghani, A. 2015, Phys. Rev. D, 91, 064045
[36] Hendi, S. H., Eslam Panah, B & Panahiyan, S. 2015, Phys. Rev. D, 91, 084031
[37] Ghanaatian, M. 2015, Gen. Relativ. Gravit, 47, 105
[38] Ghanaatian, M., Bazrafshan, A., Taghipoor, S & Tawoosi, R. 2018, Canadian Journal of Physics, 96, 1209
[39] Bazrafshan, A., Naeimipour, F., Ghanaatian, M., Forozani, GH & Alizadeh, A. 2019, Phys. Rev. D, 99, 124009
[40] Ghanaatian, M., Bazrafshan, A & Berenna, W. G. 2014, Phys. Rev. D, 89, 124012
[41] Mozhgan, Mir & Mann, R. B. 2019, JHEP, 07, 012
[42] Ghanaatian, M., Naeimipour, F., Bazrafshan, A & Abkar, M. 2018, [arXiv:1801.05692v1 [gr-qc]]
[43] Dehghani, M. H & Mann, R. B. 2002, Phys. Rev. D, 64, 044003
[44] Gibbons, G. W & Hawking, S. W. 1977, Phys. Rev. D, 15, 2752
[45] Myers, R. C. 1987, Phys. Rev. D, 36, 392
[46] Davis, S. C. 2003, Phys. Rev. D, 67, 024030
[47] Dehghani, M. H & Mann, R. B. 2006, Phys. Rev. D, 73, 104003
[48] Dehghani, M. H., Bostani, N & Sheykhi, A. 2006, Phys. Rev. D, 73, 104013
[49] Dehghani, M. H & Vahidinia, M. H. 2011, Phys. Rev. D, 84, 084044
[50] Bazrafshan, A., Dehghani, M. H & Ghanaatian, M. 2012, Phys. Rev. D, 86, 104043
[51] Maldacena, J. 1998, Adv. Theor. Math. Phys, 2, 231,
[52] Dehghani, M. H. 2004, Phys. Rev. D, 69, 064024
[53] Henningson, M & Skenderis, K. 1998, J. High Energy Phys, 07, 023
[54] Nojiri, S & Odintsov, S. D. 1998, Phys. Lett. B, 444, 92
[55] Balasubramanian, V Kraus, P. 1999, Commun. Math. Phys, 208, 413
Iranian Journal of Astronomy and Astrophysics
Volume 5, Issue 2
October 2018
Pages 83-98

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