Black hole dynamics in power-law based metric \(f(R)\) gravity. (English) Zbl 1460.83118
Summary: In this work, we use power-law cosmology to investigate the evolution of black holes within the context of metric \(f(R)\) gravity satisfying the conditions provided by the A. A. Starobinsky model [Phys. Lett., B 91, No. 1, 99–102 (1980; Zbl 1371.83222)]. In our study, it is observed that the presently accelerated expansion of the universe can be suitably explained by this integrated model without the need for dark energy. We also found that the mass of a black hole decreases by absorbing surroundings energy-matter due to modification of gravity, and the more the accretion rate, the more is mass loss. Particularly the black holes, whose formation masses are nearly \(10^{20}\) gm and above, are evaporated at a particular time irrespective of their formation mass. Again our analysis reveals that the maximum mass of a black hole supported by metric \(f(R)\) gravity is \(10^{12} M_{\odot}\), where \(M_{\odot}\) represents the solar mass.
MSC:
| 83F05 | Relativistic cosmology |
| 83D05 | Relativistic gravitational theories other than Einstein’s, including asymmetric field theories |
| 83C47 | Methods of quantum field theory in general relativity and gravitational theory |
| 83C57 | Black holes |
| 85A40 | Astrophysical cosmology |
| 83C56 | Dark matter and dark energy |
Citations:
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