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The hypersurface deformation algebra consists in a fruitful approach to derive deformed solutions of general relativity based on symmetry considerations with quantum gravity effects, whose linearization has been recently demonstrated to be…

General Relativity and Quantum Cosmology · Physics 2018-12-06 Iarley P. Lobo , Michele Ronco

In this paper, we investigate the thermodynamic properties of Reissner-Nordstr\"om black holes embedded in higher $(d)$ dimensions in the framework of rainbow gravity incorporating the effects of the generalized uncertainty principle. We…

General Relativity and Quantum Cosmology · Physics 2019-06-17 Amritendu Haldar , Ritabrata Biswas

Motivated by the violation of Lorentz invariancy in quantum gravity, we study black hole solutions in gravity's rainbow in context of Einstein gravity coupled with various models of nonlinear electrodynamics. We regard an energy dependent…

General Relativity and Quantum Cosmology · Physics 2018-10-22 S. H. Hendi , S. Panahiyan , B. Eslam Panah , M. Momennia

In this work, following our recent findings in [1], we extend our analysis to explore the generalization of spherically symmetric and static black-bounce solutions, known from General Relativity, within the framework of the $f(R)$ theory in…

General Relativity and Quantum Cosmology · Physics 2025-12-19 Marcos V. de S. Silva , T. M. Crispim , G. Alencar , R. R. Landim , Manuel E. Rodrigues

The acceleration of the universe can be explained either through dark energy or through the modification of gravity on large scales. In this paper we investigate modified gravity models and compare their observable predictions with dark…

Astrophysics · Physics 2008-11-26 Edmund Bertschinger , Phillip Zukin

This study looks into regular solutions in a theory of gravity called $f(R)$ gravity, which also involves a scalar field. The $f(R)$ theory changes Einstein's ideas by adding a new function related to something called the Ricci scalar. This…

General Relativity and Quantum Cosmology · Physics 2024-04-26 G. G. L. Nashed

Black holes in $f(R)$-gravity are known to be unstable, especially the rotating ones. In particular, an instability develops that looks like the classical black hole bomb mechanism: the linearized modified Einstein equations are…

General Relativity and Quantum Cosmology · Physics 2020-11-12 Christian Dioguardi , Massimiliano Rinaldi

Doubly special relativity (DSR) is an effective model for encoding quantum gravity in flat spacetime. To incorporate DSR into general relativity, one could use "Gravity's rainbow", where the spacetime background felt by a test particle…

General Relativity and Quantum Cosmology · Physics 2016-10-14 Jun Tao , Peng Wang , Haitang Yang

We find static spherically symmetric solutions of scale invariant $R^2$ gravity. The latter has been shown to be equivalent to General Relativity with a positive cosmological constant and a scalar mode. Therefore, one expects that solutions…

High Energy Physics - Theory · Physics 2015-02-23 Alex Kehagias , Costas Kounnas , Dieter Lust , Antonio Riotto

In the presence of external, linear / nonlinear electromagnetic fields we integrate f(R) \sim R+2{\alpha}\surd(R+const.) gravity equations. In contrast to their Einsteinian cousins the obtained black holes are non-asymptotically flat with a…

General Relativity and Quantum Cosmology · Physics 2012-01-05 S. Habib Mazharimousavi , M. Halilsoy , T. Tahamtan

We propose the use of a gravitational uncertainty principle for gravitation. We define the corresponding gravitational Planck's constant and the gravitational quantum of mass. We define entropy in terms of the quantum of gravity with the…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Antonio Alfonso-Faus

In this paper, we present charged dilatonic black holes in gravity's rainbow. We study geometric and thermodynamic properties of black hole solutions. We also investigate the effects of rainbow functions on different thermodynamic…

High Energy Physics - Theory · Physics 2016-06-22 S. H. Hendi , Mir Faizal , B. Eslam Panah , S. Panahiyan

In this paper, we determine regular black hole solutions using a very general $f(R)$ theory, coupled to a non-linear electromagnetic field given by a Lagrangian $\mathcal{L}_{NED}$. The functions $f(R)$ and $\mathcal{L}_{NED}$ are left in…

General Relativity and Quantum Cosmology · Physics 2016-05-25 Manuel E. Rodrigues , Julio C. Fabris , Ednaldo L. B. Junior , Glauber T. Marques

Fundamental fields are a natural outcome in cosmology and particle physics and might therefore serve as a proxy for more complex interactions. The equivalence principle implies that all forms of matter gravitate, and one therefore expects…

General Relativity and Quantum Cosmology · Physics 2014-05-28 Hirotada Okawa , Helvi Witek , Vitor Cardoso

In this paper, we investigate a spinning black ring and a charged black ring in the context of gravity's rainbow. By incorporating rainbow functions proposed by Amelino-Camelia, et al. in [arXiv:hep-th/9605211, arXiv:0806.0339v2] in the…

High Energy Physics - Theory · Physics 2015-01-05 Ahmed Farag Ali , Mir Faizal , Mohammed M. Khalil

In a gravitational theory with a massless photon the maximum charge-to-mass ratio of black holes approaches the prediction of the Einstein-Maxwell theory as black hole mass increases: $Q_{\rm ext}/M =1+ \alpha/M^2$ for some constant…

High Energy Physics - Theory · Physics 2019-07-09 Mehrdad Mirbabayi

Non-linear special relativity (or doubly special relativity) is a simple framework for encoding properties of flat quantum space-time. In this paper we show how this formalism may be generalized to incorporate curvature (leading to what…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Joao Magueijo , Lee Smolin

Black holes play an important role in linking microphysics with macrophysics, with those of the Planck mass ($M_P \sim10^{-5}$g) featuring in any theory of quantum gravity. In particular, the Compton-Schwarzschild correspondence posits a…

General Relativity and Quantum Cosmology · Physics 2023-02-27 B. J. Carr

The entropic force attracts a lot of interest for its multifunctional properties. For instance, Einstein's field equation, Newton's law of gravitation and the Friedmann equation can be derived from the entropic force. In this paper,…

High Energy Physics - Theory · Physics 2020-07-01 Zhong-Wen Feng , Shu-Zheng Yang

We consider a $f(R)$ gravity theory in $(2+1)$-dimensions with a self-interacting scalar field non-minimally coupled to gravity. Without specifying the form of the $f(R)$ function, solving the field equations we find that the Ricci scalar…

General Relativity and Quantum Cosmology · Physics 2022-02-18 Thanasis Karakasis , Eleftherios Papantonopoulos , Zi-Yu Tang , Bin Wang