Accretion of the degenerate Fermi gas onto a Reissner-Nordström black hole

Abstract

We extend the Rioseco and Sarbach model into Reissner-Nordström black hole accretes degenerate relativistic Fermi gas. The accretion theory is based on the Boyer-Lindquist coordinates and the Fermi gas follows Fermi-Dirac statistics at infinity. The expressions for the particle current density, the stress energy-momentum tensor, and three accretion rates are derived. We first investigated the impact of Risoseco and Sarbach model on the evolution of a black hole's charge. The results show that both the mass accretion rate and charge accretion rate are proportional to the particle accretion rate. We have also provided analytical results at infinity and numerical results within a finite range for these quantities. Our results indicate that the accretion rate decreases as the charge of the black hole increases, suggesting that our accretion model does not violate the cosmic censorship hypothesis. In this paper, we first point out that the accretion of Vlasov gas behaves as an anisotropic fluid containing two perfect-fluid components. One component represents the isotropic fluid of Fermi gas, while the other represents a null fluid. When using the Boyer-Lindquist coordinate system, we observed that the contribution from the null fluid persists even at infinity, which led to the radial pressure always smaller than the tangential pressure. Therefore, it's not appropriate to treat the accretion model as a perfect fluid at infinity.

References in corpus (12)

• First M87 Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole
• First Sagittarius A* Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole in the Center of the Milky Way
• First M87 Event Horizon Telescope Results. V. Physical Origin of the Asymmetric Ring
• First Sagittarius A* Event Horizon Telescope Results. V. Testing Astrophysical Models of the Galactic Center Black Hole
• A red giant orbiting a black hole
• Accretion of Dark Matter onto a Moving Schwarzschild Black Hole: An Exact Solution
• Accretion of the Vlasov gas onto a Schwarzschild-like black hole
• Accretion of the Vlasov gas on Reissner-Nordström black holes
• Accretion of the relativistic Vlasov gas in the equatorial plane of the Kerr black hole
• Accretion of a Vlasov gas on to a black hole from a sphere of finite radius and the role of angular momentum
• Accretion from Winds of Red Giant Branch Stars May Reveal the Supermassive Black Hole in Leo I
• Accretion of the relativistic Vlasov gas onto a Kerr black hole

Cited by in corpus (2)

• Accretion of a Vlasov gas by a Kerr black hole
• Revisiting critical orbits of test particles traveling in a black hole background