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Certain approaches to quantum gravity and classical modified gravity theories result in effective field equations in which the original source is substituted by an effective one. In these cases, the occurrence of regular spacetime…

General Relativity and Quantum Cosmology · Physics 2023-07-25 Breno L. Giacchini , Tibério de Paula Netto

We present a covariant model of a spherically symmetric black hole with corrections motivated by loop quantum gravity. The effective modifications, parametrized by a positive constant $\lambda$, are implemented through a canonical…

General Relativity and Quantum Cosmology · Physics 2022-10-07 Asier Alonso-Bardaji , David Brizuela , Raül Vera

Spacetime metrics describing `non-singular' black holes are commonly studied in the literature as effective modification to the Schwarzschild solution that mimic quantum gravity effects removing the central singularity. Here we point out…

General Relativity and Quantum Cosmology · Physics 2015-03-25 Tommaso De Lorenzo , Costantino Pacilio , Carlo Rovelli , Simone Speziale

Considering corrections produced by modified dispersion relations on the equation of state parameter of radiation, we study the induced black hole metric inspired by Kiselev's ansatz, thus defining a deformed Reissner-Nordstr\"{o}m metric.…

General Relativity and Quantum Cosmology · Physics 2020-04-03 I. P. Lobo , V. B. Bezerra , J. P. Morais Graça , Luis C. N. Santos , M. Ronco

We establish a deformation framework for highly symmetric solutions to the Einstein equations. In this framework, four-dimensional metrics are constructed from three-dimensional {\eta}-Einstein metrics admitting a deformation determined by…

General Relativity and Quantum Cosmology · Physics 2026-04-23 Hiroshi Kozaki , Satsuki Matsuno , Tatsuhiko Koike , Yoshiyuki Morisawa , Hideki Ishihara

The Kerr solution is the cornerstone of General Relativity (GR) for modelling astrophysical rotating black holes and for testing GR through gravitational-wave observations and black hole imaging. Understanding how the Kerr geometry is…

General Relativity and Quantum Cosmology · Physics 2026-01-13 Jibril Ben Achour , Adolfo Cisterna , Hugo Roussille

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

We consider a black hole mimicker given by an exact solution of the stationary and axially symmetric field equations in vacuum known as the $\delta$-Kerr metric. We study its optical properties based on a ray-tracing code for photon motion…

General Relativity and Quantum Cosmology · Physics 2022-07-25 Song Li , Temurbek Mirzaev , Ahmadjon A. Abdujabbarov , Daniele Malafarina , Bobomurat Ahmedov , Wen-Biao Han

It is widely accepted that curvature singularity resolution should be a feature of quantum gravity. We present a class of time-dependent asymptotically flat spherically symmetric metrics that model gravitational collapse in quantum gravity.…

General Relativity and Quantum Cosmology · Physics 2022-08-29 Samantha Hergott , Viqar Husain , Saeed Rastgoo

Considering as usual that the underlying geometry of our universe is well described by the spatially flat Friedmann-Lemaitre-Robertson-Walker line element, we review how the background of holonomy corrected Loop Quantum Cosmology (LQC)…

General Relativity and Quantum Cosmology · Physics 2019-05-01 Jaume de Haro , Llibert Aresté Saló , Supriya Pan

We continue the study of the non-metric theory of gravity introduced in hep-th/0611182 and gr-qc/0703002 and obtain its general spherically symmetric vacuum solution. It respects the analog of the Birkhoff theorem, i.e., the vacuum…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Kirill Krasnov , Yuri Shtanov

Modified theories of gravity are often built such that they contain general relativity as a limiting case. This inclusion property implies that the Kerr metric is common to many families of theories. For example, all analytic $f(R)$…

General Relativity and Quantum Cosmology · Physics 2019-06-26 Arthur G Suvorov

We investigate strong gravitational lensing by a charged loop quantum gravity (LQG) black hole obtained through the polymerisation scheme of Borges \textit{et al.} \cite{Borges:2023fog}. These effective geometries replace the…

General Relativity and Quantum Cosmology · Physics 2025-11-25 Arun Kumar , Qiang Wu , Tao Zhu , Sushant G. Ghosh

Astrophysical black holes (BHs) are universally expected to be described by the Kerr metric, a stationary, vacuum solution of general relativity (GR). Indeed, by imaging M87$^\star$ and Sgr A$^\star$ and measuring the size of their shadows,…

General Relativity and Quantum Cosmology · Physics 2024-03-07 Prashant Kocherlakota , Luciano Rezzolla , Rittick Roy , Maciek Wielgus

A recently developed tool allows for a description of spacetime as a manifold with a Lorentz-invariant (lower) limit length built-in. This is accomplished in terms of geometric quantities depending on two spacetime events (bitensors) and…

General Relativity and Quantum Cosmology · Physics 2025-03-21 Alessandro Pesci

A common feature of all Quantum Gravity (QG) phenomenology approaches is to consider a modification of the mass shell condition of the relativistic particle to take into account quantum gravitational effects. The framework for such…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Florian Girelli , Stefano Liberati , Lorenzo Sindoni

Black hole solutions in general relativity are simple. The frequency spectrum of linear perturbations around these solutions (i.e., the quasinormal modes) is also simple, and therefore it is a prime target for fundamental tests of black…

General Relativity and Quantum Cosmology · Physics 2024-02-09 Vitor Cardoso , Masashi Kimura , Andrea Maselli , Emanuele Berti , Caio F. B. Macedo , Ryan McManus

Motivated by the wide applications of BTZ black holes and interesting results of gravity's rainbow, we consider three dimensional rainbow solutions and investigate their thermodynamic properties. In addition to investigate black holes…

General Relativity and Quantum Cosmology · Physics 2016-07-01 Seyed Hossein Hendi

Planck scale corrections arising from deformed special relativity on Hawking radiation in Parikh and Wilczk's tunneling framework are studied. We calculate the emission rate of massless particles tunneling though the corrected horizon of…

General Relativity and Quantum Cosmology · Physics 2010-11-30 Cheng-Zhou Liu , Jian-Yang Zhu

A key obstacle for theory-specific tests of general relativity is the lack of accurate black-hole solutions in beyond-Einstein theories, especially for moderate to high spins. We address this by developing a general framework--based on…

General Relativity and Quantum Cosmology · Physics 2026-01-19 Kelvin Ka-Ho Lam , Adrian Ka-Wai Chung , Nicolás Yunes
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