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We develop a Hamiltonian formalism which can be used to discuss the physics of a massless scalar field in a gravitational background of a Schwarzschild black hole. Using this formalism we show that the time evolution of the system is…

High Energy Physics - Theory · Physics 2009-11-07 Kirill Melnikov , Marvin Weinstein

Significant advances were made in recent years on the global evolution problem for self-gravitating massive matter in the small-perturbative regime close to Minkowski spacetime. To study the coupling between a Klein-Gordon equation and…

General Relativity and Quantum Cosmology · Physics 2023-07-12 Philippe G. LeFloch , Yue Ma

We search for self-gravitating oscillating field lumps (pulsons) in the scalar model with logarithmic potential. With the use of a Krylov-Bogoliubov-type asymptotic expansion in the gravitational constant, the pulson solutions of the…

High Energy Physics - Phenomenology · Physics 2011-06-28 Vladimir A. Koutvitsky , Eugene M. Maslov

In this work, we generalise the spontaneous scalarization phenomena in Einstein-Maxwell-Scalar models to a higher spin field. The result is an Einstein-Maxwell-Vector model wherein a vector field is non-minimally coupled to the Maxwell…

General Relativity and Quantum Cosmology · Physics 2021-02-10 João M. S. Oliveira , Alexandre M. Pombo

We consider a complex scalar field minimally coupled to gravity and to a U(1) gauge symmetry and we construct of a first order symmetric hyperbolic evolution system for the Einstein-Maxwell-Klein-Gordon system. Our analysis is based on a…

General Relativity and Quantum Cosmology · Physics 2013-04-04 Daniela Pugliese , Juan A. Valiente Kroon

The revision of the Author's results with respect to possibility of existence of the so-called Euclidian cycles in cosmological evolution of a system of Higgs scalar fields has been performed. The assumption of non-negativity of the…

General Relativity and Quantum Cosmology · Physics 2020-05-29 Yu. G. Ignat'ev , D. Yu. Ignat'ev

In General Relativity and many modified theories of gravity, isolated black holes (BHs) cannot source massless scalar fields. Einstein-Maxwell-dilaton (EMd) theory is an exception: through couplings both to electromagnetism and…

General Relativity and Quantum Cosmology · Physics 2018-11-15 Mohammed Khalil , Noah Sennett , Jan Steinhoff , Justin Vines , Alessandra Buonanno

We have analyzed in detail the propagation of a minimally coupled massless scalar field in the gravitational background of a four-dimensional Einstein-Born-Infeld dilaton charged black hole. We have obtained analytical expressions for the…

High Energy Physics - Theory · Physics 2017-07-21 Grigoris Panotopoulos , Angel Rincon

Current methods of evolving a spacetime containing one or more black holes are plagued by instabilities that prohibit long-term evolution. Some of these instabilities may be due to the numerical method used, traditionally finite…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Lawrence E. Kidder , Mark A. Scheel , Saul A. Teukolsky , Eric D. Carlson , Gregory B. Cook

Fundamental fields are a natural outcome in cosmology and particle physics and might therefore serve as a proxy for more complex interactions. The equivalence principle implies that all forms of matter gravitate, and one therefore expects…

General Relativity and Quantum Cosmology · Physics 2014-05-28 Hirotada Okawa , Helvi Witek , Vitor Cardoso

The Robinson-Trautman solution in the Einstein-Maxwell-$\Lambda$ system admits a shear-free and twist-free null geodesic congruence with a nonvanishing expansion. Restricting to the case where the Maxwell field is aligned, i.e., the…

High Energy Physics - Theory · Physics 2024-11-01 Masato Nozawa

In [7] Klainerman introduced the hyperboloidal method to prove the global existence results for nonlinear Klein-Gordon equations by using commuting vector fields. In this paper, we extend the hyperboloidal method from Minkowski space to…

Analysis of PDEs · Mathematics 2016-07-07 Qian Wang

We present the numerical implementation of a clean solution to the outer boundary and radiation extraction problems within the 3+1 formalism for hyperbolic partial differential equations on a given background. Our approach is based on…

General Relativity and Quantum Cosmology · Physics 2014-11-20 Anil Zenginoglu , Lawrence E. Kidder

Einstein-Maxwell-dilaton theory is an interesting and well-motivated theoretical laboratory to explore the impact of new fundamental degrees of freedom in the context of testing the no-hair conjecture, due to the existence of hairy black…

General Relativity and Quantum Cosmology · Physics 2018-12-05 Richard Brito , Costantino Pacilio

We present numerical solutions of several spacetimes of physical interest, including binary black hole mergers, in shift-symmetric Einstein-scalar-Gauss-Bonnet (ESGB) gravity, and describe our methods for solving the full equations of…

General Relativity and Quantum Cosmology · Physics 2021-02-25 William E. East , Justin L. Ripley

The Einstein-Hilbert worldspace action is used to investigate the dynamics of extended object. In the Robertson-Walker worldspace, this is seen to introduce a pressureless density which could contribute to dark matter. Such pressureless…

Astrophysics · Physics 2007-05-23 U. Khanal

In this paper, we follow up on the discovery of a new type of solution in the Einstein-Maxwell system coupled minimally to a self-interacting complex scalar field. For sufficiently large gravitational coupling and sufficiently small…

General Relativity and Quantum Cosmology · Physics 2022-06-08 Yves Brihaye , Betti Hartmann

From a five-dimensional Einstein-Maxwell theory, Bah et al. constructed a singularity free topology star/black hole [Phys. Rev. Lett. 126, 151101 (2021)]. After the Klein-Kluza reduction, i.e., integrating the extra space dimension, it can…

General Relativity and Quantum Cosmology · Physics 2024-02-23 Wen-Di Guo , Qin Tan

We study the axial perturbations of spontaneously scalarized black holes in Einstein-Gauss-Bonnet (EGB) theories. We consider the nodeless solutions of the fundamental branch of the model studied in [1], which possesses a region of radially…

General Relativity and Quantum Cosmology · Physics 2020-05-13 Jose Luis Blázquez-Salcedo , Daniela D. Doneva , Sarah Kahlen , Jutta Kunz , Petya Nedkova , Stoytcho S. Yazadjiev

We consider the minimally coupled Klein-Gordon equation for a charged, massive scalar field in the non-extremal Reissner-Nordstr\"om background. Performing a frequency domain analysis, using a continued fraction method, we compute the…

General Relativity and Quantum Cosmology · Physics 2015-06-15 Juan Carlos Degollado , Carlos A. R. Herdeiro