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The Kerr solution is considered as a soliton-like background for spinning elementary particles. Two stringy structures may be found in the Kerr geometry, one string is real and another one is complex. The main attention in this paper is…

High Energy Physics - Theory · Physics 2016-09-06 Alexander Burinskii

We revisit the four-dimensional theory of gravity that arises from string theory with higher-derivative corrections. By compactifying and truncating the ten-dimensional effective action of heterotic string theory at first order in…

High Energy Physics - Theory · Physics 2022-02-23 Pablo A. Cano , Alejandro Ruipérez

The charged and spinning lightlike solutions are obtained in the Kerr-Schild formalism. In particular, one of them may be considered as an ultrarelativistic boost of the Kerr-Newman solution along the direction of angular momentum. The Kerr…

General Relativity and Quantum Cosmology · Physics 2008-03-20 Alexander Burinskii

The structure of spinning particle suggested by the rotating Kerr-Newman (black hole) solution, super-Kerr-Newman solution and the Kerr-Sen solution to low energy string theory is considered. Main peculiarities of the Kerr spinning particle…

High Energy Physics - Theory · Physics 2017-08-23 Alexander Burinskii

The Kerr solution is defined by a null congruence which is geodesic and shear free and has a singular line contained in a bounded region of space. A generalization of the Kerr congruence for nonstationary case is obtained. We find a…

General Relativity and Quantum Cosmology · Physics 2007-05-23 A. Burinskii , R. P. Kerr

In the frame of the Kerr-Schild approach, we obtain a generalization of the Kerr solution to a nonstationary case corresponding to a rotating source moving with arbitrary acceleration. Similar to the Kerr solution, the solutions obtained…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Alexander Burinskii

We prove the uniqueness theorem for stationary axisymmetric black hole solution in Einstein-Maxwell-axion-dilaton gravity being the low-energy limit of the heterotic string theory. We consider both non-degenerate and extremal Kerr-Sen black…

High Energy Physics - Theory · Physics 2011-04-08 Marek Rogatko

In this work we explore the consequences of considering from the very beginning the stationary and axisymmetric properties of the Kerr black hole as one attempts to derive this solution through the Kerr-Schild ansatz. The first consequence…

High Energy Physics - Theory · Physics 2017-07-19 Eloy Ayón-Beato , Mokhtar Hassaïne , Daniel Higuita-Borja

Source-free equations of nonlinear electrodynamics minimally coupled to gravity (NED-GR) admit regular axially symmetric asymptotically Kerr-Newman solutions, which describe electrically charged rotating black holes and spinning solitons.…

General Relativity and Quantum Cosmology · Physics 2015-10-07 Irina Dymnikova

The Kerr-Schild form provides a natural way of realizing the classical double copy that relates exact solutions in general relativity to exact solutions in gauge theory. In this paper, we examine the asymptotic structure of Kerr-Schild…

General Relativity and Quantum Cosmology · Physics 2022-01-26 Pujian Mao , Weicheng Zhao

Using an axial parallel vector field we obtain two exact solutions of a vacuum gravitational field equations. One of the exact solutions gives the Schwarzschild metric while the other gives the Kerr metric. The parallel vector field of the…

General Relativity and Quantum Cosmology · Physics 2011-07-19 Gamal G. L. Nashed

Making use of the Kerr theorem for shear-free null congruences and of Newman's representation for a virtual charge ``moving'' in complex space-time, we obtain an axisymmetric time-dependent generalization of the Kerr congruence, with a…

General Relativity and Quantum Cosmology · Physics 2009-10-29 Vladimir V. Kassandrov

A non-static solution of Einstein's field equations of General Relativity representing the gravitational field of an axisymmetric radiation flow is obtained using the Eddington or the Kerr-Schild form for the metric. A solution obtained…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Sanjay M. Wagh , Pradeep S. Muktibodh

We examine a 1 parameter class of actions describing the gravitational interaction between a pair of scalar fields and Einsteinian gravitation. When the parameter is positive the theory corresponds to an axi-dilatonic sector of low energy…

General Relativity and Quantum Cosmology · Physics 2010-11-01 T Dereli , M Onder , Robin W Tucker

We first review asymptotic twistor theory with its real subspace of null asymptotic twistors. This is followed by a description of an asymptotic version of the Kerr theorem that produces regular asymptotically shear free null geodesic…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Ezra T. Newman

While non-rotating black-hole solutions are well known in Einstein--\ae{}ther gravity, no axisymmetric solutions endowed with Killing horizons have been so far found outside of the slowly rotating limit. Here we show that the Kerr spacetime…

General Relativity and Quantum Cosmology · Physics 2024-04-22 Edgardo Franzin , Stefano Liberati , Jacopo Mazza

We consider the physical properties of four dimensional black hole solutions to the effective action describing the low energy dynamics of the gravitational sector of heterotic superstring theory. We compare the properties of the external…

High Energy Physics - Theory · Physics 2009-09-15 B. A. Campbell , N. Kaloper , R. Madden , K. A. Olive

In nonlinear electrodynamics coupled to gravity, regular spherically symmetric electrically charged solutions satisfy the weak energy condition and have obligatory de Sitter centre. By the G\"urses-G\"ursey algorithm they are transformed to…

General Relativity and Quantum Cosmology · Physics 2015-10-07 Irina Dymnikova , Evgeny Galaktionov

Source-free equations of nonlinear electrodynamics minimally coupled to gravity admit regular axially symmetric asymptotically Kerr-Newman solutions which describe charged rotating black holes and electromagnetic spinning solitons (lumps).…

General Relativity and Quantum Cosmology · Physics 2015-10-06 Irina Dymnikova

Four-dimensional Kerr-Schild (KS) geometry displays remarkable relationships with quantum world and theory of superstrings. In particular, the Kerr-Newman (KN) solution has gyromagnetic ratio g = 2, as that of the Dirac electron and…

General Physics · Physics 2014-10-10 Alexander Burinskii
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