Magnetic Branes in Third Order Lovelock-Born-Infeld Gravity

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dc.creatorDehghani, M. H.
dc.creatorBostani, N.
dc.creatorHendi, S. H.
dc.date2008-06-09
dc.date2008-08-28
dc.date.accessioned2026-07-07T12:43:52Z
dc.date.available2026-07-07T12:43:52Z
dc.descriptionConsidering both the nonlinear invariant terms constructed by the electromagnetic field and the Riemann tensor in gravity action, we obtain a new class of $(n+1)$-dimensional magnetic brane solutions in third order Lovelock-Born-Infeld gravity. This class of solutions yields a spacetime with a longitudinal nonlinear magnetic field generated by a static source. These solutions have no curvature singularity and no horizons but have a conic geometry with a deficit angle $δ$. We find that, as the Born-Infeld parameter decreases, which is a measure of the increase of the nonlinearity of the electromagnetic field, the deficit angle increases. We generalize this class of solutions to the case of spinning magnetic solutions and find that, when one or more rotation parameters are nonzero, the brane has a net electric charge which is proportional to the magnitude of the rotation parameters. Finally, we use the counterterm method in third order Lovelock gravity and compute the conserved quantities of these spacetimes. We found that the conserved quantities do not depend on the Born-Infeld parameter, which is evident from the fact that the effects of the nonlinearity of the electromagnetic fields on the boundary at infinity are wiped away. We also find that the properties of our solution, such as deficit angle, are independent of Lovelock coefficients.
dc.description15 pages, one figure, references added, a subsection added
dc.identifierhttps://arxiv.org/abs/0806.1429
dc.identifierhttp://arxiv.org/abs/0806.1429
dc.identifierPhys.Rev.D78:064031,2008
dc.identifierdoi:10.1103/PhysRevD.78.064031
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/220573
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Theory
dc.titleMagnetic Branes in Third Order Lovelock-Born-Infeld Gravity
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