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\begin{abstract} Using the Keeton and Petters approach, we determine the deflection angle. We also investigate the motion of photons around a parameterized black hole in the presence of non-magnetized cold plasma by using a new ray-tracing…

General Relativity and Quantum Cosmology · Physics 2023-03-20 Xiaoling He , Tianyu Xu , Yun Yu , Anosha Karamat , Rimsha Babar , Riasat Ali

Starting from the first law of black hole thermodynamics, we establish an explicit correspondence between the corrected entropy and the metric function under the condition of fixed black hole energy and horizon position. Using the corrected…

General Relativity and Quantum Cosmology · Physics 2026-05-14 Fang Liu , Yu-Bo Ma , Yun-Zhi Du , Huai-Fan Li

The modified dispersion relation as a common feature of all quantum gravity scenarios provides a perturbation framework upon which the black hole thermodynamics can be corrected. In this letter, we obtain the corrections to the…

General Relativity and Quantum Cosmology · Physics 2015-06-03 A. S. Sefiedgar , H. R. Sepangi

There are considered some corollaries of certain hypotheses on the observation process of microphenomena. We show that an enlargement of the phase space and of its motion group and an account for the diffusion motions of microsystems in the…

Quantum Physics · Physics 2007-05-23 E. M. Beniaminov

We apply a generic formalism of light propagation to linearly perturbed spherically symmetric dust models including a cosmological constant. For a comoving observer on the central worldline, we derive the equation of geodesic deviation and…

General Relativity and Quantum Cosmology · Physics 2017-12-06 Sven Meyer , Matthias Bartelmann

The last three decades have witnessed the surge of quantum gravity phenomenology in the ultraviolet regime as exemplified by the Planck-scale accuracy of time-delay measurements from highly energetic astrophysical events. Yet, recent…

General Relativity and Quantum Cosmology · Physics 2023-09-14 Fabian Wagner , Gislaine Varão , Iarley P. Lobo , Valdir B. Bezerra

Theoretical arguments in favor of energy dependent photon time delays from a modification of special relativity (SR) have met with recent gamma ray observations that put severe constraints on the scale of such deviations. We review the case…

High Energy Physics - Theory · Physics 2018-01-19 J. M. Carmona , J. L. Cortes , J. J. Relancio

We analyze the propagation of gravitational waves in a medium containing bounded subsystems ("molecules"), able to induce significant Macroscopic Gravity effects. We establish a precise constitutive relation between the average quadrupole…

General Relativity and Quantum Cosmology · Physics 2019-07-26 Giovanni Montani , Fabio Moretti

The pulsar timing array systems have reported a detection of a nanohertz-band stochastic gravitational wave background in our galaxy. It is of interest to use this observation to probe modified gravity and to forecast the sensitivity with…

Cosmology and Nongalactic Astrophysics · Physics 2026-03-19 Jonathan Grée , Qiuyue Liang , Elisa G. M. Ferreira

As an extension of our previous paper, instead of the total deflection angle $\alpha$, we will mainly focus on discussing the measurable angle of the light ray $\psi$ at the position of the observer in Kerr--de Sitter spacetime which…

General Relativity and Quantum Cosmology · Physics 2021-06-04 Hideyoshi Arakida

We consider different observational effects to test modified gravity approach involving the cosmological constant in the common description of the dark matter and the dark energy. We obtain upper limits for the cosmological constant by…

Cosmology and Nongalactic Astrophysics · Physics 2022-01-19 A. Amekhyan , S. Sargsyan , A. Stepanian

We explore the impact of corrections to the propagation on the waveforms of gravitationally lensed gravitational waves under the geometrical optics approximation, focusing on both uniform cosmological modifications and local modifications…

General Relativity and Quantum Cosmology · Physics 2025-03-03 Hiroki Takeda , Takahiro Tanaka

In most analytical studies of light ray propagation in curved spacetimes around a gravitating object surrounded by a medium, it is assumed that the medium is a cold nonmagnetized plasma. The distinctive feature of this environment is that…

General Relativity and Quantum Cosmology · Physics 2024-06-18 Barbora Bezděková , Oleg Yu. Tsupko , Christian Pfeifer

Within the general theory of relativity, the curvature of spacetime is related to the energy and momentum of the present matter and radiation. One of the more specific predictions of general relativity is the deflection of light and…

General Physics · Physics 2015-09-11 Tigran Kalaydzhyan

Quantum gravity phenomenology suggests an effective modification of the general relativistic dispersion relation of freely falling point particles caused by an underlying theory of quantum gravity. Here we analyse the consequences of…

General Relativity and Quantum Cosmology · Physics 2018-01-26 Leonardo Barcaroli , Lukas K. Brunkhorst , Giulia Gubitosi , Niccoló Loret , Christian Pfeifer

We derive a modified dispersion relation for massive particles within the frameworks of five-dimensional Kaluza-Klein theory and general relativity, taking into account strong gravitational effects. The resulting effective mass depends on…

General Relativity and Quantum Cosmology · Physics 2025-10-21 Anna Horváth , Aneta Wojnar , Gergely Gábor Barnaföldi

In this paper we prove a number of exact relations between optical observables, such as trigonometric parallax, position drift and the proper motion of a luminous source in addition to the variations of redshift and the viewing angle. These…

General Relativity and Quantum Cosmology · Physics 2025-05-13 Mikołaj Korzyński , Nezihe Uzun

Energy-dependent speeds of light have been considered an observable signature of quantum gravity effects. The two simplest dispersion relationships produce either linear or quadratic corrections, in particle energy, to the photon speed. The…

Astrophysics · Physics 2009-08-06 Simon DeDeo , Chanda Prescod-Weinstein

We investigate the light deflection and the shadow characteristics of a non-minimally coupled Horndeski black hole surrounded by a magnetized, cold, pressureless plasma medium, while considering both homogeneous and non-homogeneous plasma…

General Relativity and Quantum Cosmology · Physics 2025-07-24 Shubham Kala , Jaswinder Singh

Can the observation of the "shadow" allow us to distinguish a black hole from a more exotic compact object? We study the motion of photons in a class of vacuum static axially-symmetric space-times that is continuously linked to the…

General Relativity and Quantum Cosmology · Physics 2019-07-12 Askar B. Abdikamalov , Ahmadjon A. Abdujabbarov , Dimitry Ayzenberg , Daniele Malafarina , Cosimo Bambi , Bobomurat Ahmedov