Abstract |
In this talk we will review some selected modified theories of gravity and study their
cosmological and astrophysical implications. In particular, we investigate the quasi-normal
modes (QNMs) for black hole solutions in the following modified gravity theories: the
Palatini
f(R) gravity, the EiBI gravity, a class of nonsingular black holes which can be treated as the
vacuum solution of a family of conformal gravity theories, and the generalized energy-
momentum squared gravity. The master equations describing the QNMs are derived, and
the
QNM frequencies are evaluated with the Wentzel-Kramers- Brillouin (WKB) method and the
eikonal approximation. As expected, the QNM spectra of these modified black holes would
deviate from their GR counterparts, indicating the possibility of testing these black hole
solutions with the help of future gravitational wave detections. |