Thin accretion disks in f(R) modified gravity models

Abstract

We consider the basic physical properties of matter forming a thin accretion disc in the static and spherically symmetric space-time metric of the vacuum $f(R)$ modified gravity models. The Lagrangian of the generalized gravity theory is also obtained in a parametric form, and the conditions of the viability of the model are discussed. The exact Schwarzschild type solution of the gravitational field equations in the $f(R)$ gravity contains a linearly increasing term, as well as a logarithmic correction, as compared to the standard Schwarzschild solution of general relativity, and it depends on four arbitrary integration constants. The energy flux and the emission spectrum from the accretion disk around the $f(R)$ gravity black holes are obtained, and they are compared to the general relativistic case. Particular signatures can appear in the electromagnetic spectrum, thus leading to the possibility of directly testing modified gravity models by using astrophysical observations of the emission spectra from accretion disks.

21 pages, 3 figures, accepted for publication in PRD

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Cited by in corpus (6)

• Thin accretion disks in stationary axisymmetric wormhole spacetimes
• Electromagnetic signatures of thin accretion disks in wormhole geometries
• Can accretion disk properties distinguish gravastars from black holes?
• Testing Hořava-Lifshitz gravity using thin accretion disk properties
• Thin accretion disks onto brane world black holes
• Gödel-type universes in f(R) gravity