New class of exact solutions to Einstein–Maxwell-dilaton theory on four-dimensional Bianchi type IX geometry

Fahim, Bardia H.; Ghezelbash, A. M.

doi:10.1140/epjc/s10052-021-09395-z

Cited by 5 publications

(3 citation statements)

References 38 publications

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“…Substituting the expressions (A1-A2) in the retarded integral (8), we bring it to the form: Then, according to [22], we have…”

Section: Appendix A: Calculation Of Dilaton Generationmentioning

confidence: 99%

“…In theoretical physics, interest in this theory of dilatons [5][6][7][8][9][10] has recently increased. In these works, the manifestations of the dilaton field in astrophysical and laboratory conditions are studied theoretically.…”

Section: Introductionmentioning

confidence: 99%

“…In addition, new ideas have arisen regarding the diversification of the theory in the field of modern physical experiments. This has led to the need for further analytical research of dilaton behavior in a significantly nonlinear sector [7][8][9][10] and using fully nonlinear, numerical investigation [11].…”

Section: Introductionmentioning

confidence: 99%

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The investigation of low-frequency dilaton generation

2022

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The electromagnetic source of dilaton radiation is a first invariant of the electromagnetic field tensor. For electromagnetic waves, this invariant can be nonzero only in the near zone. Pulsars and magnetars are natural sources of this type. We calculated the generation of dilatons by a coherent electromagnetic field of rotating magnetic dipole moments of pulsars and magnetars. It was shown that the radiation of dilaton waves occurs at two frequencies: the rotation frequency $$\omega $$ ω of the magnetic dipole moment of the neutron star, and twice that frequency. The generation of dilatons at frequency $$\omega $$ ω is maximal when the angle between the magnetic dipole moment and the axis of its rotation is $$\pi /4.$$ π / 4 . If this angle is $$ \pi /2,$$ π / 2 , then dilaton radiation at frequency $$\omega $$ ω does not occur. The generation of dilatons at frequency $$2\omega $$ 2 ω is maximal when the angle between the magnetic dipole and the axis of its rotation is $$\pi /2.$$ π / 2 . The angular distribution of radiation of dilatons having a frequency of $$\omega $$ ω is maximal along the conic surfaces $$\theta =\pi /4$$ θ = π / 4 and $$\theta =3\pi /4.$$ θ = 3 π / 4 . The angular distribution of radiation of dilatons having a frequency of $$2\omega $$ 2 ω is maximal in the plane perpendicular to the axis of rotation $$(\theta =\pi /2).$$ ( θ = π / 2 ) .

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“…Substituting the expressions (A1-A2) in the retarded integral (8), we bring it to the form: Then, according to [22], we have…”

Section: Appendix A: Calculation Of Dilaton Generationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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The investigation of low-frequency dilaton generation

2022

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Bianchi IX geometry and the Einstein–Maxwell theory

Ghezelbash

2022

Class. Quantum Grav.

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We construct numerical solutions to the higher-dimensional Einstein-Maxwell theory. The solutions are based on embedding the four dimensional Bianchi type IX space in the theory. We ﬁnd the solutions as superposition of two functions, which one of them can be found numerically. We show that the solutions in any dimensions, are almost regular everywhere, except a singular point. We ﬁnd that the solutions interpolate between the two exact analytical solutions to the higher dimensional Einstein-Maxwell theory, which are based on Eguchi-Hanson type I and II geometries. Moreover, we construct the exact cosmological solutions to the theory, and study the properties of the solutions.

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Analytic topological hairy dyonic black holes and thermodynamics

2021

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We study the dynamical stability of hairy dyonic black holes in the Einstein-Maxwellscalar gravity system against the massless scalar field perturbation. We numerically obtain the corresponding quasinormal modes (QNMs) using the series solution and shooting methods for various black hole parameters. We find that the numerical values obtained from these two methods agree well with each other. The imaginary part of the QNM is always negative, indicating the stability of the dyonic hairy black hole against the scalar perturbation. We find that the decay and oscillatory modes of the scalar field perturbation increase linearly with the horizon radius for large black holes. We thoroughly investigate the behaviour of QNMs for different values of black hole parameters, including the electric charge, magnetic charge, horizon radius and hairy parameter, etc. Moreover, we also analyse the QNM near the small/large black hole phase transition and find that the nature of the QNMs is different for large and small black hole phases, suggesting QNMs as the possible probe of black hole phase transition.

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New class of exact solutions to Einstein–Maxwell-dilaton theory on four-dimensional Bianchi type IX geometry

Cited by 5 publications

References 38 publications

The investigation of low-frequency dilaton generation

The investigation of low-frequency dilaton generation

Bianchi IX geometry and the Einstein–Maxwell theory

Analytic topological hairy dyonic black holes and thermodynamics

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