Asymptotic Safety and Black Holes

Falls, Kevin

doi:10.1007/978-3-319-01294-0

Cited by 2 publications

(3 citation statements)

References 173 publications

(279 reference statements)

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“…Overall, we conclude from ( 28) that the leading four scaling exponents deviate noticeably from classical values {4, 2, 0, −2} owing to strong fluctuastions in the deep UV. We also conclude that the modified regularisation of modes introduced here does not lead to qualitative modifications in the results [13,59,132,133]. In Fig.…”

Section: Uv Critical Surfacesupporting

confidence: 61%

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Aspects of asymptotic safety for quantum gravity

2019

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We study fixed points of quantum gravity with renormalisation group methods, and a procedure to remove convergence-limiting poles from the flow. The setup is tested within the f (R) approximation for gravity by solving exact recursive relations up to order R 70 in the Ricci scalar, combined with resummations and numerical integration. Results include fixed points, scaling exponents, gap in the eigenvalue spectrum, dimensionality of the UV critical surface, fingerprints for weak coupling, and quantum equations of motion. Our findings strengthen the view that "most of quantum gravity" is rather weakly coupled. Another novelty are a pair of de Sitter solutions for quantum cosmology, whose occurrence is traced back to the removal of poles. We also address slight disparities of results in the literature, and give bounds on the number of fundamentally free parameters of quantum gravity.

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Section: Uv Critical Surfacesupporting

confidence: 61%

“…More details on our search routine and improved boundary conditions to (24) are discussed in [59]. Here, we performed this analysis from N = 2 up to N = 71 to reach significantly beyond the maximal order of N = 35 achieved previously [13,59,132,133].…”

Section: A Fixed Pointsmentioning

confidence: 99%

Aspects of asymptotic safety for quantum gravity

2019

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“…The inclusion of a cosmological constant is relevant, as it has been shown in [53] that this constant determines the short-distance structure of the RG-improved black holes. Further aspects of these quantum compact objects including thermodynamical properties, evaporation processes, and mini-black hole production, have been analyzed in [55][56][57][58][59], while quantum corrections to the accretion process onto a Schwarzschild black hole have been discussed in [60,61].…”

Section: Introductionmentioning

confidence: 99%

Black holes in asymptotic safety with higher derivatives: accretion and stability analysis

Zuluaga¹,

Sánchez²

2021

Chinese Phys. C

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We review steady spherically symmetric accretion onto a renormalization group improved Schwarzschild space-time, which is a 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 the claim in a recent work, there are physical solutions for the accretion of an ultra-relativistic fluid in AS, which include subsonic, supersonic, and transonic regimes. Furthermore, we 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 and traveling waves. We find that quantum gravity effects either enhance or diminish the stability of the accretion depending on the type of test fluid and the radial distance to the central object.

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Asymptotic Safety and Black Holes

Cited by 2 publications

References 173 publications

Aspects of asymptotic safety for quantum gravity

Aspects of asymptotic safety for quantum gravity

Black holes in asymptotic safety with higher derivatives: accretion and stability analysis

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