Black holes in asymptotic safety with higher derivatives: accretion and stability analysis
arXiv:2104.04932 · doi:10.1088/1674-1137/abf72d
Abstract
We review the issue of steady spherically symmetric accretion onto a renormalization group improved Schwarzschild space-time which is solution to an asymptotically safe theory (AS) containing high-derivative terms. We use a Hamiltonian dynamical system approach for the analysis of the accretion of four types of isothermal test fluids: ultra-stiff fluid, ultra-relativistic fluid, radiation fluid, and sub-relativistic fluid. An important outcome of our study is that, contrary to what claimed in a recent work, there exist physical solutions for the accretion of an ultra-relativistic fluid in AS which include subsonic, supersonic and transonic regimes. We also study quantum corrections to the known stability of the accretion in general relativity (GR). To this end we use a perturbative procedure based on the continuity equation with the mass accretion rate being the perturbed quantity. Two classes of perturbations are studied: standing waves and travelling waves. We find that quantum gravity effects either enhance or diminish the stability of the accretion depending on the type of test fluid and depending on the radial distance to the central object.
20 pages, 11 figures, accepted for publication in Chinese Physics C
References in corpus (22)
- Asymptotic safety in higher-derivative gravity
- Ultraviolet properties of f(R)-Gravity
- On the renormalization group flow of f(R)-gravity
- Taming perturbative divergences in asymptotically safe gravity
- Asymptotic safety in the f(R) approximation
- Charged Black Holes in Phantom Cosmology
- Ghost anomalous dimension in asymptotically safe quantum gravity
- Quantum Gravity Effects in the Kerr Spacetime
- Astrophysical implications of hypothetical stable TeV-scale black holes
- Asymptotically free scalar curvature-ghost coupling in Quantum Einstein Gravity
- Ultra-hard fluid and scalar field in the Kerr-Newman metric
- Accretion onto a black hole in a string cloud background
- Fixed-Functionals of three-dimensional Quantum Einstein Gravity
- Phantom Accretion by Five Dimensional Charged Black Hole
- Asymptotic Safety, Singularities, and Gravitational Collapse
- On the stability of self-gravitating accreting flows
- Critical properties of spherically symmetric black hole accretion in Schwarzschild geometry
- Asymptotic Safety, Asymptotic Darkness, and the hoop conjecture in the extreme UV
- Quasi-normal acoustic oscillations in the Michel flow
- Perturbations on steady spherical accretion in Schwarzschild geometry
- Critical properties of spherically symmetric accretion in a fractal medium
- Accretion on High Derivative Asymptotically Safe Black Holes