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We evaluate the quantum corrections of the Einstein-Hilbert action with boundaries in the $2+\epsilon$ dimensional expansion approach. We find the Einstein-Hilbert action with boundaries to be renormalizable to the one loop order. We…

High Energy Physics - Theory · Physics 2010-11-01 T. Aida , Y. Kitazawa

We consider numerical black hole solutions in the Weyl conformal geometry, and its associated conformally invariant Weyl quadratic gravity. In this model Einstein gravity (with a positive cosmological constant) is recovered in the…

General Relativity and Quantum Cosmology · Physics 2024-11-18 Jin-Zhao Yang , Shahab Shahidi , Tiberiu Harko

In this paper we consider the quantization of a scalar field coupled to gravity at one loop order. We investigate the divergences appearing in the mass (i.e. phi^2) term in the effective action. We use the Vilkovisky-DeWitt effective action…

High Energy Physics - Theory · Physics 2010-02-04 P. T. Mackay , D. J. Toms

We evaluate the divergent part of the Vilkovisky-DeWitt effective action for Einstein gravity on even-dimensional Kaluza-Klein spacetimes of the form $M^{4}\times S^{N}$. Explicit results are given for $N$=2, 4, and 6. Trace anomalies for…

High Energy Physics - Theory · Physics 2009-10-31 H. T. Cho , R. Kantowski

We study four dimensional non-projectable Horava-Lifshitz type gravity, in the case of an action with terms, cubic in curvature. For special choices of the free parameters of the model, we obtain two new analytic black hole solutions which…

High Energy Physics - Theory · Physics 2014-11-21 G. Koutsoumbas , P. Pasipoularides

In this paper, we obtain analytical approximate black hole solutions in the framework of $f(R)$ gravity and the absence of a cosmological constant. In this area, we apply the equations of motion of the theory to a spherically symmetric…

General Relativity and Quantum Cosmology · Physics 2023-03-08 Seyed Naseh Sajadi , Ali Hajilou , Seyed Hossein Hendi

In the context of $f(R)$ theories of gravity, we address the problem of finding static and spherically symmetric black hole solutions. Several aspects of constant curvature solutions with and without electric charge are discussed. We also…

General Relativity and Quantum Cosmology · Physics 2010-01-15 A. de la Cruz-Dombriz , A. Dobado , A. L. Maroto

The Euclidean path integral approach to quantum gravity is conventionally formulated in terms of the Einstein-Hilbert-York-Gibbons-Hawking action, which requires suitable subtractions to produce the correct black hole partition function.…

General Relativity and Quantum Cosmology · Physics 2026-01-06 Jose Beltrán Jiménez , Tomi S. Koivisto

We investigate static and spherically symmetric vacuum solutions in the symmetric teleparallel $f(\mathbb{Q})$ modified theory of gravity. Starting from a recently proposed classification of affine connections compatible with both the…

General Relativity and Quantum Cosmology · Physics 2026-02-24 A. Dehyadegari , A. Sheykhi

Detailed observations of phenomena involving black holes, be it via gravitational waves or more traditional electromagnetic means, can probe the strong field regime of the gravitational interaction. The prediction of features in such…

General Relativity and Quantum Cosmology · Physics 2020-02-19 Andrew Sullivan , Nicolás Yunes , Thomas P. Sotiriou

We derive a stationary and axisymmetric black hole solution in Einstein-Dilaton-Gauss-Bonnet gravity to quadratic order in the ratio of the spin angular momentum to the black hole mass squared. This solution introduces new corrections to…

General Relativity and Quantum Cosmology · Physics 2015-02-24 Dimitry Ayzenberg , Nicolas Yunes

In this paper, a procedure which gives euclidean solutions of 3-dimensional Einstein-Yang-Mills equations when one has solutions of the Einstein equations is proposed. The method is based on reformulating Yang-Mills theory in such a way…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Vincent Brindejonc

Static, spherically symmetric solutions of the field equations for a particular dimensional continuation of general relativity with negative cosmological constant are found. In even dimensions the solution has many similarities with the…

General Relativity and Quantum Cosmology · Physics 2008-02-03 Maximo Banados

We study the quantum effects of Near-Extremal black holes near their horizons. The gravitational dynamics in such backgrounds are closely connected to a particle in $AdS_2$ with constant electric field. We use this picture to solve the…

High Energy Physics - Theory · Physics 2020-07-07 Zhenbin Yang

In the Wheeler-DeWitt framework, by a gauge fixing procedure, we set up a scheme to recover a Schr\"odinger type equation, living in the orbits space with the {\it lapse} function as evolution parameter. By means of the associated…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Remo Garattini

Recently one and two-parameter deformed Einstein equations have been studied for extremal quantum black holes which have been proposed to obey deformed statistics by Strominger. In this study, we give a deeper insight to the deformed…

General Physics · Physics 2016-11-23 Emre Dil , Erdinc Kolay

Black Holes have always played a central role in investigations of quantum gravity. This includes both conceptual issues such as the role of classical singularities and information loss, and technical ones to probe the consistency of…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Martin Bojowald

In a previous work we derived an effective Hamiltonian constraint for the Schwarzschild geometry starting from the full loop quantum gravity Hamiltonian constraint and computing its expectation value on coherent states sharply peaked around…

General Relativity and Quantum Cosmology · Physics 2019-09-13 Emanuele Alesci , Sina Bahrami , Daniele Pranzetti

We study generic Einstein-Maxwell-Kalb-Ramond-dilaton actions, and derive conditions under which they give rise to static, spherically symmetric black hole solutions. We obtain new asymptotically flat and non-flat black hole solutions which…

High Energy Physics - Theory · Physics 2009-11-11 Sourav Sur , Saurya Das , Soumitra SenGupta

We obtain a new general solution for the gravitational field equations in quantum fluctuation modified gravity, which reduces to different classes of black holes surrounded by fluids, by taking some specific values of the parameter of the…

General Relativity and Quantum Cosmology · Physics 2026-04-14 Yaobin Hua , Rong-Jia Yang