Ehlers-Harrison-type transformations in dilaton-axion gravity

Gal’tsov, D.V.; Kechkin, Oleg V.

doi:10.1103/physrevd.50.7394

Cited by 87 publications

(83 citation statements)

References 29 publications

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“…Since σ = 0 and the two gauge fields differ only by a sign, these backgrounds are solutions of the equations following from (7.3),(7.6) with a = 1. These are precisely the D = 4 dilatonic IWP backgrounds found as the leading-order solutions in [87,88,89]. Adding a nonzero A i to the solution (7.15) by setting T = q/r has the effect of adding a NUT charge.…”

Section: Exact D = 4 Extreme Black Hole Solutionsmentioning

confidence: 99%

“…In particular, charged fundamental string solutions [82,83] and four dimensional extreme electrically charged black holes [84,85,86] can also be obtained from the dimensional reduction of a chiral null model and hence are exact [36]. Similarly, the generalizations of the extremal black holes which include NUT charge and rotation [87,88,89] are also exact [20] (Section 7). Finally, the chiral null models and their generalisations describe also (electro)magnetic flux tube backgrounds [20,51,22] (Section 8).…”

Section: σ-Models With Conserved Chiral Null Currents: General Remarksmentioning

confidence: 99%

“…(3c) The analogs and generalisations of the Israel-Wilson-Perjés (IWP) [118] solution of the pure Einstein-Maxwell theory, including as special cases Majumdar-Papapetrou-type solution (a collection of extremal electric dilatonic black holes) and an extremal electric Taub-NUT-type solution are dimensional reductions of the generalised D = 5 chiral null model [20] and as such are exact string solutions (some of these backgrounds were originally found as leading-order string solutions in [87,88,89]). …”

Section: Exact D = 4 Extreme Black Hole Solutionsmentioning

confidence: 99%

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Exact solutions of closed string theory

Tseytlin

1995

Class. Quantum Grav.

110

222

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Theoretical Physics Group, Blackett LaboratoryImperial College, London SW7 2BZ, U.K. AbstractWe review explicitly known exact D = 4 solutions with Minkowski signature in closed bosonic string theory. Classical string solutions with space-time interpretation are represented by conformal sigma models. Two large (intersecting) classes of solutions are described by gauged WZW models and 'chiral null models' (models with conserved chiral null current). The latter class includes plane-wave type backgrounds (admitting a covariantly constant null Killing vector) and backgrounds with two null Killing vectors (e.g., fundamental string solution). D > 4 chiral null models describe some exact D = 4 solutions with electromagnetic fields, for example, extreme electric black holes, charged fundamental strings and their generalisations. In addition, there exists a class of conformal models representing axially symmetric stationary magnetic flux tube backgrounds (including, in particular, the dilatonic Melvin solution). In contrast to spherically symmetric chiral null models for which the corresponding conformal field theory is not known explicitly, the magnetic flux tube models (together with some non-semisimple WZW models) are among the first examples of solvable unitary conformal string models with non-trivial D = 4 curved space-time interpretation. For these models one is able to express the quantum hamiltonian in terms of free fields and to find explicitly the physical spectrum and string partition function. To appear as a review in Classical and Quantum GravityMay 1995 ⋆ e-mail address: tseytlin@ic.ac.uk † On leave from Lebedev Physics Institute, Moscow, Russia. IntroductionString theory is a remarkable extension of General Relativity which is consistent at the quantum level. One of the important problems is to study the set of exact classical solutions to string equations of motion. This may clarify its formal aspects but also may be relevant for understanding the implications of string theory for cosmology and black holes (assuming that in certain regions, e.g., at small times/scales, the effective string coupling is small so that perturbative and non-perturbative corrections to string equations of motion can be ignored). To be able to address issues of singularities and strong field behavior one should determine not just solutions of the leading-order low-energy string effective equations derived under the assumption of small field gradients (|α ′ R| ≪ 1, etc.) but solutions that are exact to all orders in α ′ (i.e., the corresponding exact conformal σ-models), and, ultimately, how first-quantized string modes propagate in a given background (i.e., the underlying conformal field theories).

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Section: Exact D = 4 Extreme Black Hole Solutionsmentioning

confidence: 99%

Section: σ-Models With Conserved Chiral Null Currents: General Remarksmentioning

confidence: 99%

Section: Exact D = 4 Extreme Black Hole Solutionsmentioning

confidence: 99%

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Exact solutions of closed string theory

Tseytlin

1995

Class. Quantum Grav.

110

222

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“…The complexity having scalar fields makes difficulties for finding exact solutions. Nevertheless, in the Einstein frame it can be shown that under the cosmological ansatz for required solutions the gravitational equations are trivial and scalar fields equations correspond to geodesic equations on the target space of a nonlinear sigma model [29][30][31][32][33][34]. We show that using the sigma-model approach yields an effective one-component Lagrangian with a potential.…”

Section: Introductionmentioning

confidence: 99%

Elliptic solutions of generalized Brans–Dicke gravity with a non-universal coupling

2014

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We study a model of the generalized BransDicke gravity presented in both the Jordan and in the Einstein frames, which are conformally related. We show that the scalar field equations in the Einstein frame are reduced to the geodesics equations on the target space of the nonlinear sigma model. The analytical solutions in elliptical functions are obtained when the conformal couplings are given by reciprocal exponential functions. The behavior of the scale factor in the Jordan frame is studied using numerical computations. For certain parameters the solutions can describe an accelerated expansion. We also derive an analytical approximation in exponential functions.

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“…This study includes both a straightforward construction of new solutions [5], [6], [7], [8], [9] [10] and various applications of symmetry based generation procedures [11], [12], [13]. The subject of this paper is related to the former approach; in fact we propose a new possibility of generating string theory solutions in an explicitly symmetry invariant form starting from the well studied system of Einstein-Maxwell fields (see [14] and the references therein).…”

Section: Introductionmentioning

confidence: 99%

String Theory Extensions of Einstein–maxwell Fields: The Static Case

Herrera–Aguilar

Kechkin

2002

Int. J. Mod. Phys. A

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We present a new approach for generating solutions in both the four-dimensional heterotic string theory with one vector field and the five-dimensional bosonic string theory, starting from static Einstein-Maxwell fields. Our approach allows one to construct classes of solutions which are invariant with respect to the total subgroup of three-dimensional charging symmetries of these string theories. The new solutiongenerating procedure leads to the extremal Israel-Wilson-Perjes subclass of string theory solutions in a special case and provides its natural continuous extension to the realm of non-extremal solutions. We explicitly calculate all string theory solutions related to three-dimensional gravity coupled to an effective dilaton field which arises after an appropriate charging symmetry invariant reduction of the static Einstein-Maxwell system.

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Ehlers-Harrison-type transformations in dilaton-axion gravity

Cited by 87 publications

References 29 publications

Exact solutions of closed string theory

Exact solutions of closed string theory

Elliptic solutions of generalized Brans–Dicke gravity with a non-universal coupling

String Theory Extensions of Einstein–maxwell Fields: The Static Case

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