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We analytically compute time domain gravitational waveforms produced in the final stages of extreme mass ratio inspirals of non-spinning compact objects into supermassive nearly extremal Kerr black holes. Conformal symmetry relates all…

General Relativity and Quantum Cosmology · Physics 2019-10-17 Geoffrey Compère , Kwinten Fransen , Thomas Hertog , Jiang Long

Gravitation might make a preferred frame appear, and with it a clear space/time separation--the latter being, a priori, needed by quantum mechanics (QM) in curved space-time. Several models of gravitation with an ether are discussed: they…

General Relativity and Quantum Cosmology · Physics 2008-04-07 Mayeul Arminjon

We present analytical solutions describing a family of both inwardly and outwardly spiralling orbits in the Kerr spacetime. The solutions are exact, and remarkable for their simplicity. These orbits all have the angular momentum and energy…

General Relativity and Quantum Cosmology · Physics 2023-07-12 Andrew Mummery , Steven Balbus

The new manifestation of conformal invariance for a massless scalar particle in a Riemannian spacetime of general relativity is found. Conformal transformations conserve the Hamiltonian and wave function in the Foldy-Wouthuysen…

Mathematical Physics · Physics 2013-08-07 Alexander J. Silenko

The distortion of the spacetime structure in the surroundings of black holes affects the trajectories of light rays. As a consequence, black holes can act as gravitational lenses. Observations of type Ia supernovas, show that our Universe…

General Relativity and Quantum Cosmology · Physics 2016-01-14 Ernesto F. Eiroa , Carlos M. Sendra

Ongoing astronomical efforts extract physical properties of black holes from electromagnetic emissions in their near-vicinity. This requires finding the null geodesics which extend from the near-horizon region out to a distant observatory.…

General Relativity and Quantum Cosmology · Physics 2017-03-09 Achilleas P. Porfyriadis , Yichen Shi , Andrew Strominger

The images of supermassive black holes surrounded by optically-thin, radiatively-inefficient accretion flows, like those observed with the Event Horizon Telescope, are characterized by a bright ring of emission surrounding the black-hole…

High Energy Astrophysical Phenomena · Physics 2023-02-01 Ziri Younsi , Dimitrios Psaltis , Feryal Özel

From any location outside the event horizon of a black hole there are an infinite number of trajectories for light to an observer. Each of these paths differ in the number of orbits revolved around the black hole and in their proximity to…

General Relativity and Quantum Cosmology · Physics 2021-07-12 Albert Sneppen

Off-equatorial circular orbits with constant latitudes (halo orbits) of electrically charged particles exist near compact objects. In the previous paper, we discussed this kind of motion and demonstrated the existence of minima of the…

High Energy Astrophysical Phenomena · Physics 2010-05-19 Jiri Kovar , Ondrej Kopacek , Vladimir Karas , Zdenek Stuchlik

Spherically symmetric black holes produce, by strong field lensing, two infinite series of relativistic images, formed by light rays winding around the black hole at distances comparable to the gravitational radius. In this paper, we…

General Relativity and Quantum Cosmology · Physics 2010-02-23 V. Bozza

We investigate the rotation of the polarization of a light ray propagating in the gravitational field of a circularly polarized laser beam. The rotation consists of a reciprocal part due to gravitational optical activity, and a…

General Relativity and Quantum Cosmology · Physics 2020-01-08 Fabienne Schneiter , Dennis Rätzel , Daniel Braun

Faraday rotation is one of the most widely used observables to infer the strength and configuration of the magnetic field in the ionised gas of the Milky Way and nearby spiral galaxies. Here we compute synthetic Faraday rotation maps at…

Recently, a quantum mechanical theory of quantum spaces described by a large $N$ non-commutative coordinates is proposed as a model for quantum gravity [1]. In this paper, we construct Kerr black hole as a rotating noncommutative geometry…

High Energy Physics - Theory · Physics 2025-08-13 Chong-Sun Chu

The study of Kerr geodesics has a long history, particularly for those occurring within the equatorial plane, which is generally well-understood. However, upon comparison with the classification introduced by one of us…

General Relativity and Quantum Cosmology · Physics 2024-02-06 Yan Liu , Bing Sun

Null and timelike equatorial orbits are investigated in a family of hairy black holes in the cubic Galileon theory. These include rotating generalizations of static black hole metrics supporting a time-dependent scalar field. Depending on…

General Relativity and Quantum Cosmology · Physics 2022-01-27 Karim Van Aelst , Eric Gourgoulhon , Frederic H. Vincent

Moving particles outside a star will generally experience quantum friction caused by the Unruh radiation reaction. There exist however radial trajectories that lack this effect (in the outgoing radiation sector, and ignoring…

General Relativity and Quantum Cosmology · Physics 2015-11-10 Luis C. Barbado , Carlos Barceló , Luis J. Garay

We study the gravitational lensing by a Kerr-Sen Black Hole arising in heterotic string theory. A closed form expression for the bending angle of light in equatorial plane of Kerr-Sen Black Hole is derived as a function of impact parameter,…

General Relativity and Quantum Cosmology · Physics 2018-05-24 Rashmi Uniyal , Hemwati Nandan , Philippe Jetzer

Black holes are an ubiquitous end state of stellar evolution and successfully explain some of the most extreme physics encountered in astronomical observations. The Kerr geometry is the known exact solution to Einstein's equations for a…

General Relativity and Quantum Cosmology · Physics 2014-05-14 Michael Grudich

In this work we present the first calculation of the gravitational self-force on generic bound geodesics in Kerr spacetime to first order in the mass-ratio. That is, the local correction to equations of motion for a compact object orbiting…

General Relativity and Quantum Cosmology · Physics 2018-05-30 Maarten van de Meent

General Relativity (GR) is shown to be a complete theory with respect to the isochrony of the pendulum. This guarantees that time can be measured with a mechanical clock within the theory itself as a matter of principle. The proper and…

General Relativity and Quantum Cosmology · Physics 2022-05-06 Miguel A. Martin-Delgado