Renormalization group improved black hole spacetimes
By Alfio M. Bonanno, Martin Reuter. 2000
397 citations recorded by the source corpus.
We study the quantum gravitational effects in spherically symmetric black hole spacetimes. The effective quantum spacetime felt by a pointlike test mass is constructed by ``renormalization group improving'' the Schwarzschild metric. The key ingredient is the running Newton constant which is obtained from the exact evolution equation for the effective average action. The conformal structure of the quantum spacetime depends on its ADM mass $M$ and it is similar to that of the classical Reissner-Nordstr\"om black hole. For $M$ larger than, equal to, and smaller than a certain critical mass ${M}_{\mathrm{cr}}$ the spacetime has two, one, and no horizon(s), respectively. Its Hawking temperature, specific heat capacity, and entropy are computed as a function of $M.$ It is argued that the black hole evaporation stops when $M$ approaches ${M}_{\mathrm{cr}}$ which is of the order of the Planck mass. In this manner a ``cold'' soliton-like remnant with the near-horizon geometry of ${\mathrm{AdS}}_{2}\ifmmode\times\else\texttimes\fi{}{\mathrm{S}}^{2}$ is formed. As a consequence of the quantum effects, the classical singularity at $r=0$ is either removed completely or it is at least much milder than classically; in the first case the quantum spacetime has a smooth de Sitter core which would be in accord with the cosmic censorship hypothesis even if $Ml{M}_{\mathrm{cr}}.$
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/d5ae9007b5685bffce90db992bc9b8e768a02324
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Astronomy and Astrophysics
In Nuclear and High Energy Physics
In Statistical and Nonlinear Physics
Citations in the corpus
- Black Hole Remnants and the Information Loss Paradox (2014, background): “runcation contains such a xed point [136]. From the calculation of Donoghue [137], we expect that the gravitation constant behaves like G(r) = G 0r3 r3 + !G 0 (r+ G 0M) ; (23) where != 118=15ˇ, = 9=2 [138], and G 0 is the experimentally observed value of the Newton constant. The Schwarzschild-analog”
- The nonperturbative functional renormalization group and its applications (2020, methodology): “The Schwarzschild case, first analyzed in [1185, 1186], provides the “blueprint” for later works [1187– 1198].”
- An Asymptotically Safe Guide to Quantum Gravity and Matter (2018, background): “…of the spectral dimension (Lauscher and Reuter, 2005; Reuter and Saueressig, 2011; Calcagni et al., 2013), singularity resolution in black holes (Bonanno and Reuter, 1999, 2000, 2006; Falls et al., 2012; Becker and Reuter, 2012; Falls and Litim, 2014; Koch and Saueressig, 2014a,b; Kofinas and…”