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We study analytically the Klein-Gordon wave equation for stationary massive scalar fields linearly coupled to spinning Kerr black holes. In particular, using the WKB approximation, we derive a compact formula for the discrete spectrum of…

High Energy Physics - Theory · Physics 2017-03-21 Shahar Hod

A new class of exact spacetimes in Einstein's gravity, which are Kerr black holes immersed in an external magnetic (or electric) field that is asymptotically uniform and oriented along the rotational axis, is presented. These are…

General Relativity and Quantum Cosmology · Physics 2025-11-04 Jiri Podolsky , Hryhorii Ovcharenko

We employ the "KMOC" formalism of [1] to compute classical momentum deflections of spinning bodies with arbitrary spin orientations up to next-to-leading order (one loop). We do this in electrodynamics and gravity. The final result, valid…

High Energy Physics - Theory · Physics 2022-10-18 Gabriel Menezes , Matteo Sergola

We derive a stationary and axisymmetric black hole solution to quadratic order in the spin angular momentum. The previously found, linear-in-spin terms modify the odd-parity sector of the metric, while the new corrections appear in the…

General Relativity and Quantum Cosmology · Physics 2017-07-28 Kent Yagi , Nicolas Yunes , Takahiro Tanaka

We calculate next-to-leading-order (NLO) corrections to the $B\to\pi$ transition form factors at leading twist in the $k_T$ factorization theorem. Light partons off-shell by $k_T^2$ are considered in the quark diagrams, in the effective…

High Energy Physics - Phenomenology · Physics 2013-05-30 Hsiang-nan Li , Yue-Long Shen , Yu-Ming Wang

The analytical solutions of the Klein-Gordon equation with the Yukawa potential is presented within the framework of an approximation to the centrifugal potential for any arbitrary state with the position-dependent mass using the parametric…

Quantum Physics · Physics 2017-08-14 C. A. Onate , A. N. Ikot , M. C. Onyeaju , O. Ebomwonyi

According to a corrected dispersion relation proposed in the study on string theory and quantum gravity theory, Rarita-Schwinger equation has been precisely modified, which results in a Rarita-Schwinger-Hamilton-Jacobi equation, and through…

High Energy Physics - Theory · Physics 2020-12-30 Bei Sha , Zhi-E Liu , Yu-Zhen Liu , Xia Tan , Jie Zhang , Shu-Zheng Yang

We investigate the quasinormal modes of a massless scalar field in a Schwarzschild black hole, which is deformed due to noncommutative corrections. We introduce the deformed Schwarzschild black hole solution, which depends on the…

General Relativity and Quantum Cosmology · Physics 2024-05-20 Y. Zhao , Yifu Cai , S. Das , G. Lambiase , E. N. Saridakis , E. C. Vagenas

X-ray reflection spectroscopy is a powerful technique for probing the nature of gravity around black holes in the so-called strong field regime. One of the most popular of such probes is to look at theory-agnostic deviations away from the…

High Energy Astrophysical Phenomena · Physics 2021-07-27 Askar B. Abdikamalov , Dimitry Ayzenberg , Cosimo Bambi , Sourabh Nampalliwar , Ashutosh Tripathi

We obtain the analytic solutions of the radial part of the massless Klein-Gordon equation in the spacetime of both three dimensional rotating and four dimensional canonical acoustic black holes, which are given in terms of the confluent…

General Relativity and Quantum Cosmology · Physics 2019-04-10 H. S. Vieira , V. B. Bezerra

We calculate the odd-parity, radiative ($\ell \ge 2$) parts of the metric perturbation in Lorenz gauge caused by a small compact object in eccentric orbit about a Schwarzschild black hole. The Lorenz gauge solution is found via gauge…

General Relativity and Quantum Cosmology · Physics 2013-03-20 Seth Hopper , Charles R. Evans

The dark matter relic density has been increasingly accurately measured by successive generations of experiments. The Boltzmann equation determines the yields using the dark matter annihilation cross section as one of the inputs; the…

High Energy Physics - Phenomenology · Physics 2024-07-08 Prabhat Butola , D. Indumathi , Pritam Sen

Next-to-Leading-Order(NLO) QCD corrections to J/jpsi plus eta_c production in e+e- annihilation at sqrt{s}=10.6 GeV is calculated in this paper, and an analytic result is obtained. By choosing proper physical parameters, a K factor (ratio…

High Energy Physics - Phenomenology · Physics 2008-11-26 Bin Gong , Jian-Xiong Wang

We analyze numerically the existence of regular stationary rotating hairy black holes within the framework of general relativity, which are the result of solving the Einstein-Klein-Gordon system for a complex-valued scalar field under…

General Relativity and Quantum Cosmology · Physics 2023-05-10 Gustavo García , Eric Gourgoulhon , Philippe Grandclément , Marcelo Salgado

Next-to-leading-order (NLO) quantum electrodynamics (QED) corrections to the production of muon and tau pairs in photon-photon collisions, $\gamma\gamma\to\mu^{+}\mu^{-},\tau^{+}\tau^{-}$, are calculated in the equivalent photon…

High Energy Physics - Phenomenology · Physics 2025-02-19 Hua-Sheng Shao , David d'Enterria

We investigate the next-to-next-to-leading order (NNLO) QCD radiative corrections to the pion electromagnetic form factor with large momentum transfer. We explicitly verify the validity of the collinear factorization to two-loop order for…

High Energy Physics - Phenomenology · Physics 2024-08-01 Long-Bin Chen , Wen Chen , Feng Feng , Yu Jia

We seek to introduce a mathematical method to derive the Klein-Gordon equation and a set of relevant laws strictly, which combines the relativistic wave functions in two inertial frames of reference. If we define the stationary state wave…

Analysis of PDEs · Mathematics 2010-11-08 Guangqing Bi , Yuekai Bi

We present novel solutions to the Klein-Gordon equation in a black string spacetime immersed in an anisotropic quintessence fluid and surrounded by a cloud of strings (BCK spacetime). The solutions are shown to depend on the quintessence…

General Relativity and Quantum Cosmology · Physics 2026-03-31 M. L. Deglmann , B. V. Simão , C. C. Barros

We present an analytical study of superradiant instability of rotating asymptotically G\"{o}del black hole (Kerr-G\"{o}del black hole) in five-dimensional minimal supergravity theory. By employing the matched asymptotic expansion method to…

High Energy Physics - Theory · Physics 2013-01-24 Ran Li

The Cauchy problem is considered for the scalar wave equation in the Kerr geometry. We prove that by choosing a suitable wave packet as initial data, one can extract energy from the black hole, thereby putting supperradiance, the wave…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Felix Finster , Niky Kamran , Joel Smoller , Shing-Tung Yau
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