Born-Infeld gravity coupled to Born-Infeld electrodynamics

被引:50
|
作者
Jana, Soumya [1 ]
Kar, Sayan
机构
[1] Indian Inst Technol, Dept Phys, Kharagpur 721302, W Bengal, India
来源
PHYSICAL REVIEW D | 2015年 / 92卷 / 08期
关键词
STRINGS;
D O I
10.1103/PhysRevD.92.084004
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We investigate spherically symmetric, static spacetimes in Eddington-inspired Born-Infeld gravity coupled to Born-Infeld electrodynamics. The two constants, b(2) and kappa which parametrize the Born-Infeld structures in the electrodynamics (matter) and gravity sectors, characterize the features of our analytical solutions. Black holes or naked singularities are found to arise, depending on the values of b(2) and kappa, as well as charge and mass. Several such solutions are classified and understood through the analysis of the associated metric functions for fixed kappa, varying b(2) and vice versa. Further, we also compare the new metric functions with those for the known b(2) -> infinity (Maxwell) and the kappa -> 0 (geonic black hole) cases. Interestingly, for a particular relation between these two parameters, b(2) = 1/4 kappa, kappa > 0, we obtain a solution resembling the well-known Reissner-Nordstrom line element, albeit some modifications. Using this particular solution as the background spacetime, we study null geodesics for Born-Infeld photons and also gravitational lensing. Among the interesting features we note (i) an increase in the radius of the photon sphere with increasing. and (ii) a net positive contribution in the leading order correction term involving., in the weak lensing formula for the deflection angle. We also investigate the effective potential and light propagation for various other solutions through numerics and plots. In summary, our paper is the first attempt towards figuring out how Born-Infeld structures in both the matter and gravity sectors can influence the nature and character of resulting gravitational fields.
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页数:17
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