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We study in detail the equations of the geodesic deviation in multidimensional theories of Kaluza-Klein type. We show that their 4-dimensional space-time projections are identical with the equations obtained by direct variation of the usual…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Richard Kerner , Jerome Martin , Salvatore Mignemi , Jan-Willem van Holten

We study the circular motion of massive and massless particles in a recently proposed quantum-corrected Schwarzschild black hole in loop quantum gravity. This solution is supposed to introduce small but non-zero quantum corrections in the…

General Relativity and Quantum Cosmology · Physics 2023-12-20 Reza Saadati , Fatimah Shojai

We have investigated the strong gravitational lensing in a rotating squashed Kaluza-Klein (KK) black hole spacetime. Our result show that the strong gravitational lensings in the rotating squashed KK black hole spacetime have some distinct…

General Relativity and Quantum Cosmology · Physics 2014-04-01 LiYong Ji , Songbai Chen , Jiliang Jing

The Kerr spacetime in Kaluza-Klein theory describes a rotating black hole in four dimensions from the Kaluza-Klein point of view and involves the signature of an extra dimension that shows up through the appearance of the electric and…

General Relativity and Quantum Cosmology · Physics 2015-06-15 Alikram N. Aliev , Goksel Daylan Esmer

We investigate the strong gravitational lensing in a squashed Kaluza-Klein black hole immersed in the G\"{o}del universe with global rotation. Our result show that the strong gravitational lensing in the squashed Kaluza-Klein G\"{o}del…

General Relativity and Quantum Cosmology · Physics 2015-03-18 Songbai Chen , Yue Liu , Jiliang Jing

We investigate the strong gravitational lensing in a Kaluza-Klein black hole with squashed horizons. We find the size of the extra dimension imprints in the radius of the photon sphere, the deflection angle, the angular position and…

General Relativity and Quantum Cosmology · Physics 2014-11-20 Yue Liu , Songbai Chen , Jiliang Jing

In this paper, we study the spin precession frequency of a test gyroscope attached to a stationary observer in the five dimensional rotating Kaluza-Klein black hole (RKKBH). We derive the conditions under which the test gyroscope moves…

General Relativity and Quantum Cosmology · Physics 2020-03-19 Mustapha Azreg-Aïnou , Mubasher Jamil , Kai Lin

We present an exact analytical investigation of spin precession for a test gyroscope in the magnetized Kerr spacetime--an exact electrovacuum solution to the Einstein-Maxwell equations. Our approach accommodates arbitrary magnetic field…

General Relativity and Quantum Cosmology · Physics 2025-07-31 Karthik Iyer , Chandrachur Chakraborty

Applying squashing transformation to Kerr-Godel black hole solutions, we present a new type of a rotating Kaluza-Klein black hole solution to the five-dimensional Einstein-Maxwell theory with a Chern-Simon term. The new solutions generated…

High Energy Physics - Theory · Physics 2009-08-05 Shinya Tomizawa , Hideki Ishihara , Ken Matsuno , Toshiharu Nakagawa

It was predicted that the spin precession frequency of a stationary gyroscope shows various anomalies in the strong gravity regime if its orbit shrinks, and eventually its precession frequency becomes arbitrarily high very close to the…

General Relativity and Quantum Cosmology · Physics 2022-03-24 Chandrachur Chakraborty , Banibrata Mukhopadhyay

The Wigner rotations arising from the combination of boosts along two different directions are rederived from a relative boost point of view and applied to gyroscope spin precession along timelike geodesics in a Kerr spacetime, clarifying…

General Relativity and Quantum Cosmology · Physics 2019-04-03 Donato Bini , Andrea Geralico , Robert T. Jantzen

The classical tests of general relativity - light deflection, time delay and perihelion shift - are applied, along with the geodetic precession test, to the five-dimensional extension of the theory known as Kaluza-Klein gravity, using an…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Hongya Liu , James Overduin

We find a rotating Kaluza-Klein black hole solution with a squashed $S^3$ horizon in five dimensions. This is a Kerr counterpart of the charged one found by Ishihara and Matsuno (hep-th/0510094) recently. The space-time is geodesic complete…

High Energy Physics - Theory · Physics 2008-11-26 Tower Wang

The stability of squashed Kaluza-Klein black holes is studied. The squashed Kaluza-Klein black hole looks like five dimensional black hole in the vicinity of horizon and four dimensional Minkowski spacetime with a circle at infinity. In…

High Energy Physics - Theory · Physics 2018-09-19 Masashi Kimura , Keiju Murata , Hideki Ishihara , Jiro Soda

We study the shadow of a rotating squashed Kaluza-Klein (KK) black hole and the shadow is found to possess distinct properties from those of usual rotating black holes. It is shown that the shadow for a rotating squashed KK black hole is…

General Relativity and Quantum Cosmology · Physics 2019-11-11 Fen Long , Jieci Wang , Songbai Chen , Jiliang Jing

In this paper we investigate the strong gravitational lensing in a charged squashed Kaluza-Klein black hole. We suppose that the supermassive black hole in the galaxy center can be considered by a charged squashed Kaluza-Klein black hole…

General Relativity and Quantum Cosmology · Physics 2015-06-05 J. Sadeghi , A. Banijamali , H. Vaez

We have investigated the geodetic precession and the strong gravitational lensing in the slowly-rotating black hole in the dynamical Chern-Simons modified gravity theory. We present the formulas of the orbital period $T$ and the geodetic…

General Relativity and Quantum Cosmology · Physics 2014-11-21 Songbai Chen , Jiliang Jing

We explore the obsevability of extra dimensions through 5-dimensional squashed Kaluza-Klein black holes residing in the Kaluza-Klein spacetime. With the expectation that the Hawking radiation reflects the 5-dimensional nature of the…

High Energy Physics - Theory · Physics 2008-11-26 Hideki Ishihara , Jiro Soda

The deviation of the path of a spinning particle from a circular geodesic in the Schwarzschild spacetime is studied by an extension of the idea of geodesic deviation. Within the Mathisson-Papapetrou-Dixon model and assuming the spin…

General Relativity and Quantum Cosmology · Physics 2015-06-22 Donato Bini , Andrea Geralico , Robert T. Jantzen

The precession angular velocity of a gyroscope moving along a general geodesic in the Kerr spacetime is analyzed using the geometric properties of the spacetime. Natural frames along the gyroscope world line are explicitly constructed by…

General Relativity and Quantum Cosmology · Physics 2017-06-21 Donato Bini , Andrea Geralico , Robert T. Jantzen
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