Interacting fields in general relativity theory

Бронников, К. А.; Шикин, Г. Н.

doi:10.1007/bf00897114

Cited by 29 publications

(48 citation statements)

References 2 publications

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“…where τ = vol[S 2 ] is volume form on 2-dimensional sphere and * = * [g] is the Hodge operator corresponding to the oriented manifold M with the metric g. We call this noncomposite configuration a dyon-like one in order to distinguish it from the true dyon configuration which is essentially composite and may be chosen in our case either as: (i) F (1) = Q 1 e 2λ 1 ϕ * τ + Q 2 τ , F (2) = 0, or (ii) F (1) = 0, F (2) = Q 1 e 2λ 2 ϕ * τ + Q 2 τ . From a physical point of view the ansatz (1.1) means that we deal here with a charged black hole, which has two color charges: Q 1 and Q 2 .…”

Section: Introductionmentioning

confidence: 99%

“…From a physical point of view the ansatz (1.1) means that we deal here with a charged black hole, which has two color charges: Q 1 and Q 2 . The charge Q 1 is the electric one corresponding to the form F (1) , while the charge Q 2 is the magnetic one corresponding to the form F (2) . For coinciding dilatonic couplings λ 1 = λ 2 = λ we get a trivial noncomposite generalization of dilatonic dyon black hole solutions in the model with one 2-form which was considered in Ref.…”

Section: Introductionmentioning

confidence: 99%

“…Here we consider a subclass of dilatonic black hole solutions with electric and magnetic charges Q 1 and Q 2 , respectively, in the 4d model with metric g, scalar field ϕ, two 2-forms F (1) and F (2) , corresponding to two dilatonic coupling constants λ 1 and λ 2 , respectively. All fields are defined on an oriented manifold M. Here we consider the dyon-like configuration for fields of 2-forms a e-mail: ivashchuk@mail.ru…”

Section: Introductionmentioning

confidence: 99%

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Dilatonic dyon-like black hole solutions in the model with two Abelian gauge fields

2017

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Dilatonic black hole dyon-like solutions in the gravitational 4d model with a scalar field, two 2-forms, two dilatonic coupling constants λ i = 0, i = 1, 2, obeying λ 1 = −λ 2 and the sign parameter ε = ±1 for scalar field kinetic term are considered. Here ε = −1 corresponds to a ghost scalar field. These solutions are defined up to solutions of two master equations for two moduli functions, when λ 2 i = 1/2 for ε = −1. Some physical parameters of the solutions are obtained: gravitational mass, scalar charge, Hawking temperature, black hole area entropy and parametrized post-Newtonian (PPN) parameters β and γ . The PPN parameters do not depend on the couplings λ i and ε. A set of bounds on the gravitational mass and scalar charge are found by using a certain conjecture on the parameters of solutions, when 1 + 2λ 2 i ε > 0, i = 1, 2.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Dilatonic dyon-like black hole solutions in the model with two Abelian gauge fields

2017

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“…In various notations, the A 1 -solution with H = 1 + P R appeared earlier for dilatonic black hole solutions in [126] and [127,128] ( D = 4 ) and was extended to the multidimensional case in [127][128][129][130] (the results of [128] seem to be correct ones up to a typo in the first Formula (2.1) for the action in [128], which should be eliminated: the kinetic term for the scalar field should be multiplied by extra factor 1/2 ). A special case with λ 2 = 1/2 ( λ is dilatonic coupling) was considered earlier in [131,132].…”

Section: Remarkmentioning

confidence: 99%

“…In past decades, there were many papers devoted to multidimensional generalizations of the well-known Melvin solution [139]; for exact solutions and their applications, see [67,126,128,133, and the references therein.…”

Section: Of 54mentioning

confidence: 99%

On Brane Solutions with Intersection Rules Related to Lie Algebras

Ivashchuk

2017

Symmetry

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Abstract:The review is devoted to exact solutions with hidden symmetries arising in a multidimensional gravitational model containing scalar fields and antisymmetric forms. These solutions are defined on a manifold of the form M = M 0 × M 1 × . . . × M n , where all M i with i ≥ 1 are fixed Einstein (e.g., Ricci-flat) spaces. We consider a warped product metric on M . Here, M 0 is a base manifold, and all scale factors (of the warped product), scalar fields and potentials for monomial forms are functions on M 0 . The monomial forms (of the electric or magnetic type) appear in the so-called composite brane ansatz for fields of forms. Under certain restrictions on branes, the sigma-model approach for the solutions to field equations was derived in earlier publications with V.N.Melnikov. The sigma model is defined on the manifold M 0 of dimension d 0 = 2 . By using the sigma-model approach, several classes of exact solutions, e.g., solutions with harmonic functions, S-brane, black brane and fluxbrane solutions, are obtained. For d 0 = 1 , the solutions are governed by moduli functions that obey Toda-like equations. For certain brane intersections related to Lie algebras of finite rank-non-singular Kac-Moody (KM) algebras-the moduli functions are governed by Toda equations corresponding to these algebras. For finite-dimensional semi-simple Lie algebras, the Toda equations are integrable, and for black brane and fluxbrane configurations, they give rise to polynomial moduli functions. Some examples of solutions, e.g., corresponding to finite dimensional semi-simple Lie algebras, hyperbolic KM algebras: H 2 (q, q) , AE 3 , H A (1) 2 , E 10 and Lorentzian KM algebra P 10 , are presented.

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Dilaton gravity, (quasi-) black holes, and scalar charge

et al. 2014

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Electrically charged dust is considered in the framework of Einstein-Maxwelldilaton gravity with a Lagrangian containing the interaction term P (χ)F µν F µν , where P (χ) is an arbitrary function of the dilaton scalar field χ , which can be normal or phantom. Without assumption of spatial symmetry, we show that static configurations exist for arbitrary functions g 00 = exp(2γ(x i )) ( i = 1, 2, 3 ) and χ = χ(γ) . If χ = const , the classical Majumdar-Papapetrou (MP) system is restored. We discuss solutions that represent black holes (BHs) and quasi-black holes (QBHs), deduce some general results and confirm them by examples. In particular, we analyze configurations with spherical and cylindrical symmetries. It turns out that cylindrical BHs and QBHs cannot exist without negative energy density somewhere in space. However, in general, BHs and QBHs can be phantom-free, that is, can exist with everywhere nonnegative energy densities of matter, scalar and electromagnetic fields.

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Interacting fields in general relativity theory

Cited by 29 publications

References 2 publications

Dilatonic dyon-like black hole solutions in the model with two Abelian gauge fields

Dilatonic dyon-like black hole solutions in the model with two Abelian gauge fields

On Brane Solutions with Intersection Rules Related to Lie Algebras

Dilaton gravity, (quasi-) black holes, and scalar charge

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