Gravitational lensing in fourth order gravity
Salvatore CapozzıelloDipartimento di Scienze Fisiche, Università di Napoli “Federico II,” and INFN, Sezione di Napoli, Complesso Universitario di Monte S. Angelo, Edificio N, via Cinthia, 80121—Napoli, ItalyV. F. CardoneDipartimento di Fisica “E. R. Caianiello,” Università di Salerno, and INFN, Sezione di Napoli, Gruppo Collegato di Salerno, via S. Allende, 84081—Baronissi (Salerno), ItalyA. TroisiDipartimento di Scienze Fisiche, Università di Napoli “Federico II,” and INFN, Sezione di Napoli, Complesso Universitario di Monte S. Angelo, Edificio N, via Cinthia, 80121—Napoli, Italy
2006en
ABI
Abstract
Gravitational lensing is investigated in the weak field limit of fourth order gravity in which the Lagrangian of the gravitational field is modified by replacing the Ricci scalar curvature $R$ with an analytical expression $f(R)$. Considering the case of a pointlike lens, we study the behavior of the deflection angle in the case of power-law Lagrangians, i.e. with $f(R)\ensuremath{\propto}{R}^{n}$. In order to investigate possible detectable signatures, the position of the Einstein ring and the solutions of the lens equation are evaluated considering the change with respect to the standard case. Effects on the amplification of the images and the Paczynski curve in microlensing experiments are also estimated.
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Cited by 20 references