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We set up a consistent background field formalism for studying the renormalization group (RG) flow of gravity coupled to $N_f$ Dirac fermions on maximally symmetric backgrounds. Based on Wetterich's equation we perform a detailed study of…

High Energy Physics - Theory · Physics 2021-07-05 Jesse Daas , Wouter Oosters , Frank Saueressig , Jian Wang

Under the hypothesis of asymptotic safety of gravity, the static, spherically symmetric black hole solutions in the infrared limit are corrected by non-perturbative effects. Specifically, the metric is modified by the running of…

General Relativity and Quantum Cosmology · Physics 2015-06-05 Dao-Jun Liu , Bin Yang , Yong-Jia Zhai , Xin-Zhou Li

Asymptotically safe quantum gravity is an approach to quantum gravity that achieves formulates a standard quantum field theory for the metric. Therefore, even the deep quantum gravity regime, that is expected to determine the true structure…

General Relativity and Quantum Cosmology · Physics 2022-12-20 Astrid Eichhorn , Aaron Held

The analysis of the properties of the X-ray radiation emitted from geometrically thin accretion disks around black holes can be a powerful tool to test General Relativity in the strong field regime. This chapter reviews the state-of-the-art…

General Relativity and Quantum Cosmology · Physics 2024-07-12 Cosimo Bambi

We consider the asymptotic-safety scenario for quantum gravity which constructs a non-perturbatively renormalisable quantum gravity theory with the help of the functional renormalisation group. We verify the existence of a non-Gaussian…

High Energy Physics - Theory · Physics 2009-11-10 Astrid Eichhorn , Holger Gies , Michael M. Scherer

Rapidly-rotating black-hole spacetimes outside general relativity are key to many tests of Einstein's theory. We here develop an efficient spectral method to represent such spacetimes analytically, in closed-form, and to high accuracy, in a…

General Relativity and Quantum Cosmology · Physics 2026-01-21 Kelvin Ka-Ho Lam , Adrian Ka-Wai Chung , Nicolás Yunes

We study the conformally reduced $R+R^2$ theory of gravity and we show that the theory is asymptotically safe with an ultraviolet critical manifold of dimension three. In particular, we discuss the universality properties of the fixed point…

High Energy Physics - Theory · Physics 2023-07-26 Alfio Maurizio Bonanno , Maria Conti , Sergio Luigi Cacciatori

We discuss constraints on black hole spin and spin-related astrophysics as derived from X-ray spectroscopy. After a brief discussion about the robustness with which X-ray spectroscopy can be used to probe strong gravity, we summarize how…

Astrophysics · Physics 2009-11-10 Christopher S. Reynolds , Laura W. Brenneman , David Garofalo

Recent observational data from the Event Horizon Telescope (EHT) collaboration provide convincing realistic evidence for the existence of black hole rotation. From a phenomenological perspective, a recently proposed stable rotating regular…

General Relativity and Quantum Cosmology · Physics 2025-01-15 Chen-Hao Xie , Yu Zhang , Qi Sun , Qi-Quan Li , Peng-Fei Duan

In this paper, we review our current efforts to test General Relativity in the strong field regime by studying the reflection spectrum of supermassive black holes. So far we have analyzed 11 sources with observations of NuSTAR, Suzaku,…

General Relativity and Quantum Cosmology · Physics 2019-06-19 Askar B. Abdikamalov , Dimitry Ayzenberg , Cosimo Bambi , Sourabh Nampalliwar , Ashutosh Tripathi , Jelen Wong , Yerong Xu , Jinli Yan , Yunfeng Yan , Yuchan Yang

In this paper, we investigate the strong gravitational lensing effects and optical appearances around a spherically symmetric regular black hole, whose metric is derived from a non-singular collapsing dust ball model in asymptotically safe…

General Relativity and Quantum Cosmology · Physics 2025-12-02 Xiao-Jun Gao

General relativity is one of the pillars of modern physics. For decades, the theory has been mainly tested in the weak field regime with experiments in the Solar System and radio observations of binary pulsars. Until 2015, the strong field…

General Relativity and Quantum Cosmology · Physics 2023-06-21 Cosimo Bambi

X-ray reflection spectroscopy is a powerful tool for probing the strong gravity region of black holes and can be used for testing general relativity in the strong field regime. Simplifications of the available relativistic reflection models…

We present a comprehensive non-perturbative study of the phase structure of the asymptotically safe Standard Model. The physics scales included range from the asymptotically safe trans-Planckian regime in the ultraviolet, the intermediate…

High Energy Physics - Theory · Physics 2023-09-20 Álvaro Pastor-Gutiérrez , Jan M. Pawlowski , Manuel Reichert

We investigate regular rotating black holes predicted by asymptotically safe gravity, where the Newton constant varies with energy scale and modifies the near horizon geometry. These solutions remain asymptotically flat and avoid central…

General Relativity and Quantum Cosmology · Physics 2025-10-01 Chirantana Bhattacharjee , Subhadip Sau , Avijit Mukherjee

We compute the ghost anomalous dimension within the asymptotic-safety scenario for quantum gravity. For a class of covariant gauge fixings and using a functional RG scheme, the anomalous dimension $\eta_c$ is negative, implying an improved…

High Energy Physics - Theory · Physics 2010-05-19 Astrid Eichhorn , Holger Gies

Astrophysical black hole systems are the ideal laboratories for testing Einstein's theory of gravity in the strong field regime. We have recently developed a framework which uses the reflection spectrum of black hole systems to perform…

Recently the non-local gravity theory has come out to be a good candidate for an effective field theory of quantum gravity and also it can provide rich phenomenology to understand late-time accelerating expansion of the universe. For any…

General Relativity and Quantum Cosmology · Physics 2019-08-23 Utkarsh Kumar , Sukanta Panda , Avani Patel

In this chapter we review the state-of-the-art of black holes in asymptotically safe gravity. After a brief recap of the asymptotic safety program, we shall summarize the features of asymptotic-safety-inspired black-hole models that have…

General Relativity and Quantum Cosmology · Physics 2024-02-13 Alessia Platania

Asymptotic safety is an attractive scenario for the dynamics of quantum spacetime. Here, we work from a phenomenologically motivated point of view and emphasize that a viable dynamics for quantum gravity in our universe must account for the…

General Relativity and Quantum Cosmology · Physics 2016-05-12 Pietro Donà , Astrid Eichhorn , Peter Labus , Roberto Percacci