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After a brief review of the foundations of (pre-metric) electromagnetism, we explore some physical consequences of electrodynamics in curved spacetime. In general, new electromagnetic couplings and related phenomena are induced by the…

General Relativity and Quantum Cosmology · Physics 2017-07-11 Francisco Cabral , Francisco S. N. Lobo

In this work, we extend for the first time the spherically symmetric Schwarzschild and Schwarzschild-De Sitter solutions with a Finsler-Randers-type perturbation which is generated by a covector $A_\gamma$. This gives a locally anisotropic…

General Relativity and Quantum Cosmology · Physics 2021-01-06 A. Triantafyllopoulos , S. Basilakos , E. Kapsabelis , P. C. Stavrinos

This paper utilizes the {\it Black Hole Vision} smartphone application to catalyze a pedagogical shift in General Relativity education through the quantitative analysis of simulated black hole imaging. Presented here for the Schwarzschild…

General Relativity and Quantum Cosmology · Physics 2026-05-22 Lior M. Burko

Time-resolved scattering experiments enable imaging of materials at the molecular scale with femtosecond time resolution. However, in disordered media they provide access to just one radial dimension thus limiting the study of orientational…

The electric magnetochiral anisotropy is a nonreciprocal phenomenon accessible via second harmonic transport in noncentrosymmetric, time-reversal invariant materials, in which the rectification of current, ${\bf I}$, can be controlled by an…

We present a fully covariant and gauge-invariant formulation of electromagnetic wave propagation in static, spherically symmetric black hole spacetimes, developed entirely within Schwarzschild-like coordinates. Start ing from the…

General Relativity and Quantum Cosmology · Physics 2026-04-10 Abdullah Guvendi , Omar Mustafa Semra Gurtas Dogan , Hassan Hassanabadi

We propose a quantum experiment to measure with high precision the Schwarzschild space-time parameters of the Earth. The scheme can also be applied to measure distances by taking into account the curvature of the Earth's space-time. As a…

Quantum Physics · Physics 2014-12-05 David Edward Bruschi , Animesh Datta , Rupert Ursin , Timothy C. Ralph , Ivette Fuentes

We construct a fully analytic, general relativistic, nonspinning black hole binary spacetime that approximately solves the vacuum Einstein equations everywhere in space and time for black holes sufficiently well separated. The metric is…

General Relativity and Quantum Cosmology · Physics 2014-05-13 Bruno C. Mundim , Hiroyuki Nakano , Nicolás Yunes , Manuela Campanelli , Scott C. Noble , Yosef Zlochower

Motivated by the quasi-local mass problem in general relativity, we study the rigidity of isometric immersions with the same mean curvature into a warped product space. As a corollary of our main result, two star-shaped hypersurfaces in a…

Differential Geometry · Mathematics 2018-04-17 Chunhe Li , Pengzi Miao , Zhizhang Wang

An explicit fluid flow simulation of electromagnetic wave propagation in the gravitational field of a Schwarzschild black hole is given. The fluid has a constant refractive index and a spherically symmetric inward directed flow. The…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Kjell Rosquist

It is argued that the diffeomorphism on the horizontal sphere can be regarded as a nontrivial asymptotic isometry of the Schwarzschild black hole. We propose a new boundary condition of asymptotic metrics near the horizon and show that the…

General Relativity and Quantum Cosmology · Physics 2009-10-31 M. Hotta , K. Sasaki , T. Sasaki

We provide a Finslerian extension of the Schwarzschild metric based on heuristic arguments. The proposed metric asymptotically approaches not the Minkowski space-time but the Bogoslovsky locally anisotropic space-time which arises naturally…

General Relativity and Quantum Cosmology · Physics 2011-08-17 Z. K. Silagadze

A recent paper (Martinez--Gonzalez & Sanz 1995) showed that if the universe is homogeneous but anisotropic, then the small quadrupole anisotropy in the cosmic microwave background radiation implies that the spacetime anisotropy is very…

Astrophysics · Physics 2007-05-23 Roy Maartens , George Ellis , William Stoeger

We prove the nonlinear stability of the Schwarzschild spacetime under axially symmetric polarized perturbations, i.e. solutions of the Einstein vacuum equations for asymptotically flat $1+3$ dimensional Lorentzian metrics which admit a…

General Relativity and Quantum Cosmology · Physics 2018-12-24 Sergiu Klainerman , Jeremie Szeftel

We revisit the connection between trajectories of accelerated mirrors and spacetime metrics. We present the general (1+1)D effective metric that can be obtained with a fibre-optical analogue through the Kerr effect. Then we introduce a new…

General Relativity and Quantum Cosmology · Physics 2022-06-29 Alhan Moreno-Ruiz , David Bermudez

We analyse the physical properties of an analytical, nonsingular quantum-corrected black hole solution recently derived in a minisuperspace model for unimodular gravity under the assumption of unitarity in unimodular time. We show that the…

General Relativity and Quantum Cosmology · Physics 2026-02-02 Steffen Gielen , Sofie Ried

We give a precise theoretical description of initially aligned sets of orthogonal gyroscopes which are transported along different paths from some initial point to the same final point in spacetime. These gyroscope systems can be used to…

General Relativity and Quantum Cosmology · Physics 2013-01-30 Mattias N. R. Wohlfarth , Christian Pfeifer

In this paper, we establish that a four-dimensional static vacuum asymptotically flat spacetime containing a massive particle sphere is isometric to the Schwarzschild spacetime. Our results expand upon existing uniqueness theorems for…

General Relativity and Quantum Cosmology · Physics 2024-06-24 Kirill Kobialko , Igor Bogush , Dmitri Gal'tsov

We study spherically symmetric spacetimes in Einstein-aether theory in three different coordinate systems, the isotropic, Painlev\`e-Gullstrand, and Schwarzschild coordinates, in which the aether is always comoving, and present both…

General Relativity and Quantum Cosmology · Physics 2021-07-30 Jacob Oost , Shinji Mukohyama , Anzhong Wang

In addition to shear and vorticity a homogeneous background may also exhibit anisotropic curvature. Here a class of spacetimes is shown to exist where the anisotropy is solely of the latter type, and the shear-free condition is supported by…

Cosmology and Nongalactic Astrophysics · Physics 2011-02-02 Tomi S. Koivisto , David F. Mota , Miguel Quartin , Tom G. Zlosnik