Abstract
We study Einstein-Born-Infeld gravity and construct the dyonic (A)dS planar black holes in general even dimensions, that carry both the electric charge and magnetic fluxes along the planar space. In four dimensions, the solution can be constructed with also spherical and hyperbolic topologies. We study the black hole thermodynamics and obtain the first law. We also classify the singularity structure.
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References
M. Born and L. Infeld, Foundations of the new field theory, Proc. Roy. Soc. Lond. A 144 (1934) 425 [INSPIRE].
E.S. Fradkin and A.A. Tseytlin, Nonlinear Electrodynamics from Quantized Strings, Phys. Lett. B 163 (1985) 123 [INSPIRE].
R.G. Leigh, Dirac-Born-Infeld Action from Dirichlet σ-model, Mod. Phys. Lett. A 4 (1989) 2767 [INSPIRE].
G.W. Gibbons, Aspects of Born-Infeld theory and string/M theory, Rev. Mex. Fis. 49S1 (2003) 19 [hep-th/0106059] [INSPIRE].
A.A. Tseytlin, Born-Infeld action, supersymmetry and string theory, hep-th/9908105 [INSPIRE].
E. Silverstein and D. Tong, Scalar speed limits and cosmology: Acceleration from D-cceleration, Phys. Rev. D 70 (2004) 103505 [hep-th/0310221] [INSPIRE].
M. Alishahiha, E. Silverstein and D. Tong, DBI in the sky, Phys. Rev. D 70 (2004) 123505 [hep-th/0404084] [INSPIRE].
M. Bañados and P.G. Ferreira, Eddington’s theory of gravity and its progeny, Phys. Rev. Lett. 105 (2010) 011101 [arXiv:1006.1769] [INSPIRE].
E. Elizalde, J.E. Lidsey, S. Nojiri and S.D. Odintsov, Born-Infeld quantum condensate as dark energy in the universe, Phys. Lett. B 574 (2003) 1 [hep-th/0307177] [INSPIRE].
A. Fuzfa and J.M. Alimi, Dark Energy as a Born-Infeld Gauge Interaction Violating the Equivalence Principle, Phys. Rev. Lett. 97 (2006) 061301 [astro-ph/0604517] [INSPIRE].
A. García A, H. Salazar and J.F. Plebánski, Type-D solutions of the Einstein and Born-Infeld nonlinear-electrodynamics equations, Nuovo Cim. B 84 (1984) 65.
M. Cataldo and A. Garcia, Three dimensional black hole coupled to the Born-Infeld electrodynamics, Phys. Lett. B 456 (1999) 28 [hep-th/9903257] [INSPIRE].
S. Fernando and D. Krug, Charged black hole solutions in Einstein-Born-Infeld gravity with a cosmological constant, Gen. Rel. Grav. 35 (2003) 129 [hep-th/0306120] [INSPIRE].
T.K. Dey, Born-Infeld black holes in the presence of a cosmological constant, Phys. Lett. B 595 (2004) 484 [hep-th/0406169] [INSPIRE].
R.-G. Cai, D.-W. Pang and A. Wang, Born-Infeld black holes in (A)dS spaces, Phys. Rev. D 70 (2004) 124034 [hep-th/0410158] [INSPIRE].
M.H. Dehghani, S.H. Hendi, A. Sheykhi and H. Rastegar Sedehi, Thermodynamics of rotating black branes in (n + 1)-dimensional Einstein-Born-Infeld-dilaton gravity, JCAP 02 (2007) 020 [hep-th/0611288] [INSPIRE].
M.H. Dehghani and S.H. Hendi, Thermodynamics of rotating black branes in Gauss-Bonnet-Born-Infeld gravity, Int. J. Mod. Phys. D 16 (2007) 1829 [hep-th/0611087] [INSPIRE].
M.H. Dehghani, N. Alinejadi and S.H. Hendi, Topological Black Holes in Lovelock-Born-Infeld Gravity, Phys. Rev. D 77 (2008) 104025 [arXiv:0802.2637] [INSPIRE].
S.H. Hendi, R.M. Tad, Z. Armanfard and M.S. Talezadeh, Extended phase space thermodynamics and P-V criticality: Brans-Dicke-Born-Infeld vs. Einstein-Born-Infeld-dilaton black holes, Eur. Phys. J. C 76 (2016) 263 [arXiv:1511.02761] [INSPIRE].
E.L.B. Junior, M.E. Rodrigues and M.J.S. Houndjo, Born-Infeld and Charged Black Holes with non-linear source in f (T) Gravity, JCAP 06 (2015) 037 [arXiv:1503.07427] [INSPIRE].
S.H. Hendi, B.E. Panah and S. Panahiyan, Einstein-Born-Infeld-Massive Gravity: AdS-Black Hole Solutions and their Thermodynamical properties, JHEP 11 (2015) 157 [arXiv:1508.01311] [INSPIRE].
S. Gunasekaran, R.B. Mann and D. Kubiznak, Extended phase space thermodynamics for charged and rotating black holes and Born-Infeld vacuum polarization, JHEP 11 (2012) 110 [arXiv:1208.6251] [INSPIRE].
D.-C. Zou, S.-J. Zhang and B. Wang, Critical behavior of Born-Infeld AdS black holes in the extended phase space thermodynamics, Phys. Rev. D 89 (2014) 044002 [arXiv:1311.7299] [INSPIRE].
R. Banerjee and D. Roychowdhury, Critical phenomena in Born-Infeld AdS black holes, Phys. Rev. D 85 (2012) 044040 [arXiv:1111.0147] [INSPIRE].
N. Breton, Geodesic structure of the Born-Infeld black hole, Class. Quant. Grav. 19 (2002) 601 [INSPIRE].
R. Linares, M. Maceda and D. Martínez-Carbajal, Test Particle Motion in the Born-Infeld Black Hole, Phys. Rev. D 92 (2015) 024052 [arXiv:1412.3569] [INSPIRE].
R.-G. Cai and Y.-W. Sun, Shear Viscosity from AdS Born-Infeld Black Holes, JHEP 09 (2008) 115 [arXiv:0807.2377] [INSPIRE].
J. Jing and S. Chen, Holographic superconductors in the Born-Infeld electrodynamics, Phys. Lett. B 686 (2010) 68 [arXiv:1001.4227] [INSPIRE].
P. Chaturvedi and G. Sengupta, p-wave Holographic Superconductors from Born-Infeld Black Holes, JHEP 04 (2015) 001 [arXiv:1501.06998] [INSPIRE].
E.F. Eiroa and C. Simeone, Thin shells in Einstein-Born-Infeld theory, AIP Conf. Proc. 1458 (2012) 383 [arXiv:1111.4192] [INSPIRE].
L.F. Abbott and S. Deser, Stability of Gravity with a Cosmological Constant, Nucl. Phys. B 195 (1982) 76 [INSPIRE].
M. Cvetič, G.W. Gibbons, D. Kubiznak and C.N. Pope, Black Hole Enthalpy and an Entropy Inequality for the Thermodynamic Volume, Phys. Rev. D 84 (2011) 024037 [arXiv:1012.2888] [INSPIRE].
D. Kastor, S. Ray and J. Traschen, Enthalpy and the Mechanics of AdS Black Holes, Class. Quant. Grav. 26 (2009) 195011 [arXiv:0904.2765] [INSPIRE].
D.A. Rasheed, Nonlinear electrodynamics: Zeroth and first laws of black hole mechanics, hep-th/9702087 [INSPIRE].
N. Breton, Smarr’s formula for black holes with non-linear electrodynamics, Gen. Rel. Grav. 37 (2005) 643 [gr-qc/0405116] [INSPIRE].
W. Yi-Huan, Energy and first law of thermodynamics for Born-Infeld-anti-de-Sitter black hole, Chin. Phys. B 19 (2010) 090404 [INSPIRE].
H.-S. Liu, H. Lü and C.N. Pope, Generalized Smarr formula and the viscosity bound for Einstein-Maxwell-dilaton black holes, Phys. Rev. D 92 (2015) 064014 [arXiv:1507.02294] [INSPIRE].
R.M. Wald, Black hole entropy is the Noether charge, Phys. Rev. D 48 (1993) 3427 [gr-qc/9307038] [INSPIRE].
V. Iyer and R.M. Wald, Some properties of Noether charge and a proposal for dynamical black hole entropy, Phys. Rev. D 50 (1994) 846 [gr-qc/9403028] [INSPIRE].
W. Kim, S. Kulkarni and S.-H. Yi, Quasilocal Conserved Charges in a Covariant Theory of Gravity, Phys. Rev. Lett. 111 (2013) 081101 [Erratum ibid. 112 (2014) 079902] [arXiv:1306.2138] [INSPIRE].
W. Kim, S. Kulkarni and S.-H. Yi, Quasilocal conserved charges in the presence of a gravitational Chern-Simons term, Phys. Rev. D 88 (2013) 124004 [arXiv:1310.1739] [INSPIRE].
J.-J. Peng, Conserved charges of black holes in Weyl and Einstein-Gauss-Bonnet gravities, Eur. Phys. J. C 74 (2014) 3156 [arXiv:1407.4875] [INSPIRE].
S.-Q. Wu and S. Li, Thermodynamics of Static Dyonic AdS Black Holes in the ω-Deformed Kaluza-Klein Gauged Supergravity Theory, Phys. Lett. B 746 (2015) 276 [arXiv:1505.00117] [INSPIRE].
J.-J. Peng, Off-shell Noether current and conserved charge in Horndeski theory, Phys. Lett. B 752 (2016) 191 [arXiv:1511.06516] [INSPIRE].
J.-J. Peng, Mass and angular momentum of black holes in low-energy heterotic string theory, Int. J. Mod. Phys. A 31 (2016) 1650060 [arXiv:1604.06619] [INSPIRE].
H.-S. Liu and H. Lü, Scalar Charges in Asymptotic AdS Geometries, Phys. Lett. B 730 (2014) 267 [arXiv:1401.0010] [INSPIRE].
H. Lü, C.N. Pope and Q. Wen, Thermodynamics of AdS Black Holes in Einstein-Scalar Gravity, JHEP 03 (2015) 165 [arXiv:1408.1514] [INSPIRE].
H.-S. Liu, H. Lü and C.N. Pope, Thermodynamics of Einstein-Proca AdS Black Holes, JHEP 06 (2014) 109 [arXiv:1402.5153] [INSPIRE].
Z.-Y. Fan and H. Lü, SU(2)-Colored (A)dS Black Holes in Conformal Gravity, JHEP 02 (2015) 013 [arXiv:1411.5372] [INSPIRE].
X.-H. Feng, H.-S. Liu, H. Lü and C.N. Pope, Black Hole Entropy and Viscosity Bound in Horndeski Gravity, JHEP 11 (2015) 176 [arXiv:1509.07142] [INSPIRE].
X.-H. Feng, H.-S. Liu, H. Lü and C.N. Pope, Thermodynamics of Charged Black Holes in Einstein-Horndeski-Maxwell Theory, Phys. Rev. D 93 (2016) 044030 [arXiv:1512.02659] [INSPIRE].
X.-H. Feng and H. Lü, Higher-Derivative Gravity with Non-minimally Coupled Maxwell Field, Eur. Phys. J. C 76 (2016) 178 [arXiv:1512.09153] [INSPIRE].
Z.-Y. Fan and H. Lü, Thermodynamical First Laws of Black Holes in Quadratically-Extended Gravities, Phys. Rev. D 91 (2015) 064009 [arXiv:1501.00006] [INSPIRE].
H.-S. Liu and H. Lü, Thermodynamics of Lifshitz Black Holes, JHEP 12 (2014) 071 [arXiv:1410.6181] [INSPIRE].
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Li, S., Lü, H. & Wei, H. Dyonic (A)dS black holes in Einstein-Born-Infeld theory in diverse dimensions. J. High Energ. Phys. 2016, 4 (2016). https://doi.org/10.1007/JHEP07(2016)004
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DOI: https://doi.org/10.1007/JHEP07(2016)004