Abstract
We present new accretion solutions of a polytropic perfect fluid onto an f(R)-gravity de Sitter-like black hole. We consider two f(R)-gravity models and obtain finite-period cyclic flows oscillating between the event and cosmological horizons as well as semi-cyclic critical flows executing a two-way motion from and back to the same horizon. Besides the generalizations and new solutions presented in this work, a corrigendum to Eur. Phys. J. C (2016) 76:280 is provided.
Highlights
This work is based on our previous paper [1] where we set the general dynamical-system formalism for accretion of perfect fluids onto static spherically symmetric black holes
When the entropy s is constant, which is the case for accretion of perfect fluids onto static spherically symmetric black holes, this reduces to a2 = d p/de
The solutions depicting the accretion of a polytropic perfect fluid onto a de Sitter-like f(R) black hole (31), which are shown in Fig. 2 of this work, have been constructed using the same values of the parameters used in Fig. 6 of Ref. [1]: M = 1, β = 0.05, = 0.04, γ = 1.7, and Y = 1/8
Summary
This work is based on our previous paper [1] where we set the general dynamical-system formalism for accretion of perfect fluids onto static spherically symmetric black holes. We keep using the same notation for the thermodynamic functions of the fluid and the Hamiltonian H. N, h, e, s, p, T , and uμ are the baryon number density, specific enthalpy (enthalpy per particle), energy density, specific entropy, pressure, temperature, and four-velocity vector, respectively. In a locally inertial frame, the three-dimensional speed of sound a is given by a2 = (∂ p/∂e)s. When the entropy s is constant, which is the case for accretion of perfect fluids onto static spherically symmetric black holes, this reduces to a2 = d p/de
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