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Renormalization-Group (RG) improvement has been frequently applied to capture the effect of quantum corrections on cosmological and black-hole spacetimes. This work utilizes an algebraically complete set of curvature invariants to establish…

General Relativity and Quantum Cosmology · Physics 2021-05-26 Aaron Held

The renormalization group (RG) corrected gravitational action in Einstein-Hilbert and other truncations is considered. The running scale of the renormalization group is treated as a scalar field at the level of the action and determined in…

General Relativity and Quantum Cosmology · Physics 2015-06-04 Silvije Domazet , Hrvoje Stefancic

A renormalization group (RG) improvement of the Einstein-Hilbert action is performed which promotes Newton's constant and the cosmological constant to scalar functions on spacetime. They arise from solutions of an exact RG equation by means…

High Energy Physics - Theory · Physics 2010-11-19 M. Reuter , H. Weyer

A new framework for exploiting information about the renormalization group (RG) behavior of gravity in a dynamical context is discussed. The Einstein-Hilbert action is RG-improved by replacing Newton's constant and the cosmological constant…

High Energy Physics - Theory · Physics 2007-05-23 M. Reuter , H. Weyer

A renormalization-group (RG) improved Schwarzschild-like black hole is investigated, whose lapse function interpolates between the classical Schwarzschild exterior and a quantum-smoothed interior governed by the cutoff scale $\xi$ and…

General Relativity and Quantum Cosmology · Physics 2026-05-08 Ahmad Al-Badawi , Faizuddin Ahmed , İzzet Sakallı

In general relativity, the Einstein equations provide spherically symmetric static spacetimes with dynamics defined as an evolution along the radial coordinate $r$. The geometrical sector becomes a one-dimensional mechanical system, with…

General Relativity and Quantum Cosmology · Physics 2025-11-03 Etera R. Livine , Yuki Yokokura

We present numerical solutions of several spacetimes of physical interest, including binary black hole mergers, in shift-symmetric Einstein-scalar-Gauss-Bonnet (ESGB) gravity, and describe our methods for solving the full equations of…

General Relativity and Quantum Cosmology · Physics 2021-02-25 William E. East , Justin L. Ripley

In the paper, only Static Spherically Symmetric space-times in four dimensions are considered within modified gravity models. The non-singular static metrics, including black holes not admitting a de Sitter core in the center and…

General Relativity and Quantum Cosmology · Physics 2024-10-07 A. S. Agrawal , Sergio Zerbini , B. Mishra

Using the Functional Renormalization Group approach we construct effective quantum spacetime geometries by self-consistently deforming the classical Schwarzschild-de Sitter black-hole solution. This involves studying how quantum…

General Relativity and Quantum Cosmology · Physics 2025-03-19 Alfio Bonanno , Mariano Cadoni , Mirko Pitzalis , Andrea Pierfrancesco Sanna

Higher-order theories of gravity have received much attention from several areas including quantum gravity, string theory and cosmology. This paper proposes a higher-order gravity whose action includes all curvature scalar terms up to the…

General Relativity and Quantum Cosmology · Physics 2020-08-04 G. Rodrigues-da-Silva , L. G. Medeiros

We study the quantum gravitational effects in spherically symmetric black hole spacetimes. The effective quantum spacetime felt by a point-like test mass is constructed by ``renormalization group improving'' the Schwarzschild metric. The…

High Energy Physics - Theory · Physics 2009-10-31 A. Bonanno , M. Reuter

We construct a renormalization-group improved Schwarzschild-like black hole geometry using the exact new scheme running for the Newton coupling. The scale identification is implemented via a standard interpolating proper-distance function…

General Relativity and Quantum Cosmology · Physics 2026-03-06 G. Alencar , T. M. Crispim , C. R. Muniz , M. Nilton

We study the "improved dynamics" for the treatment of spherically symmetric space-times in loop quantum gravity introduced by Chiou {\em et al.} in analogy with the one that has been constructed by Ashtekar, Pawlowski and Singh for the…

General Relativity and Quantum Cosmology · Physics 2020-10-28 R. Gambini , J. Olmedo , J. Pullin

The use of compactified hyperboloidal coordinates for metric formulations of the Einstein field Equations introduces formally singular terms in the equations of motion whose numerical treatment requires care. In this paper we study a…

General Relativity and Quantum Cosmology · Physics 2025-06-04 Christian Peterson , David Hilditch

This paper studies the quantum modifications of the Reissner-Nordstr\"{o}m-(A)dS black hole within Quantum Einstein Gravity, coupled to an electromagnetic sector. Quantum effects are introduced on the level of the improvements of the…

High Energy Physics - Theory · Physics 2016-09-05 Cristopher González , Benjamin Koch

In this thesis, we use numerical relativity to investigate gravitational waves from binary black holes in extensions of GR. We first study spherically symmetric gravitational collapse in cubic Horndeski theories of gravity. By varying the…

General Relativity and Quantum Cosmology · Physics 2023-08-24 Tiago França

The static, spherical solutions that exhibit an antisymmetry between the temporal and radial coordinates in $f(R)$ gravity theories are presented. I present the constraint for this antisymmetry and show that pure $R^2$ models produce these…

General Relativity and Quantum Cosmology · Physics 2023-03-28 Garrett Gould

We apply a recently developed 2+1+1 decomposition of spacetime, based on a nonorthogonal double foliation for the study of spherically symmetric, static black hole solutions of Horndeski scalar-tensor theory. Our discussion proceeds in an…

General Relativity and Quantum Cosmology · Physics 2022-10-04 Cecília Nagy , Zoltán Keresztes , László Á. Gergely

We show that the dynamics of Schwarzschild-(A)dS black holes admits a symmetry under the 2d Schr\"odinger group, whatever the sign or value of the cosmological constant. This is achieved by reformulating the spherically-symmetric reduction…

General Relativity and Quantum Cosmology · Physics 2023-11-27 Jibril Ben Achour , Etera R. Livine , Daniele Oriti

The renormalization-group improved effective potential ---to leading-log and in the linear curvature approximation--- is constructed for ``finite'' theories in curved spacetime. It is not trivial and displays a quite interesting,…

High Energy Physics - Theory · Physics 2009-09-17 E. Elizalde , S. D. Odintsov
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