László Árpád Gergely et al 2009 Class. Quantum Grav. 26 145002 doi:10.1088/0264-9381/26/14/145002
László Árpád Gergely1,2, Zoltán Keresztes1,2 and Marek Dwornik1,2
Show affiliationsWe derive the deflection angle of light rays passing near a black hole with mass m and tidal charge q, confined to a generalized Randall–Sundrum brane with co-dimension 1. We employ the weak lensing approach, up to the second order in perturbation theory by two distinct methods. First we adopt a Lagrangian approach and derive the deflection angle from the analysis of the geodesic equations. Then we adopt a Hamiltonian approach and we recover the same result from the analysis of the eikonal. With this we re-establish the unicity of the result as given by the two methods. Our results in turn implies a more rigorous constraint on the tidal charge from solar system measurements, than derived before.
04.70.Dy Quantum aspects of black holes, evaporation, thermodynamics
04.50.-h Higher-dimensional gravity and other theories of gravity
02.40.-k Geometry, differential geometry, and topology
81V17 Gravitational interaction (See also 83Cxx and 83Exx)
81T30 String and superstring theories; other extended objects (e.g., branes) (See also 83E30)
83C75 Space-time singularities, cosmic censorship, etc.
53C22 Geodesics (See also 58E10)
Issue 14 (21 July 2009)
Received 6 March 2009, in final form 4 May 2009
Published 18 June 2009
László Árpád Gergely et al 2009 Class. Quantum Grav. 26 145002
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