Effects of Lorentz breaking on the accretion onto a Schwarzschild-like black hole

TL;DR

This paper investigates how Lorentz symmetry breaking influences the steady-state accretion process onto a Schwarzschild-like black hole, deriving analytic expressions and analyzing effects on accretion rate and gas properties.

Contribution

It provides the first analytic formulation of critical points and accretion parameters for Lorentz-breaking black hole accretion, including detailed analysis for polytropic gases.

Findings

Lorentz breaking slows down the mass accretion rate.

Gas compression and temperature profiles remain unaffected by Lorentz breaking.

Derived explicit formulas for critical points and accretion parameters.

Abstract

We formulate and solve the problem of spherically symmetric, steady state, adiabatic accretion onto a Schwarzschild-like black hole obtained recently. We derive the general analytic expressions for the critical points, the critical velocity, the critical speed of sound, and subsequently the mass accretion rate. The case for polytropic gas is discussed in detail. We find the parameter characterizing the breaking of Lorentz symmetry will slow down the mass accretion rate, while has no effect on the gas compression and the temperature profile below the critical radius and at the event horizon.