Gravitational lensing in fourth order gravity

Journal Article · Mon May 15 04:00:00 EDT 2006 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PhysRevD.73.104019· OSTI ID:20774704

Capozziello, S; Troisi, A ^[1]; Cardone, V F ^[2]

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1. Dipartimento di Scienze Fisiche, Universita di Napoli 'Federico II', and INFN, Sezione di Napoli, Complesso Universitario di Monte S. Angelo, Edificio N, via Cinthia, 80121-Naples (Italy)
2. Dipartimento di Fisica 'E. R. Caianiello', Universita di Salerno, and INFN, Sezione di Napoli, Gruppo Collegato di Salerno, via S. Allende, 84081-Baronissi (Salerno) (Italy)

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){proportional_to}R{sup 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.

• OSTI ID: 20774704
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 10 Vol. 73; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
COSMOLOGY
EINSTEIN FIELD EQUATIONS
GRAVITATION
GRAVITATIONAL FIELDS
GRAVITATIONAL LENSES
LAGRANGIAN FUNCTION
MATHEMATICAL SOLUTIONS
SCALARS