Extremely charged static perfect fluid distributions with dilaton in curved spacetimes

Cho, Yoshinori; Degura, Yoshitaka; Shiraishi, Kiyoshi

doi:10.1103/physrevd.62.084038

Cited by 7 publications

(7 citation statements)

References 4 publications

(2 reference statements)

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“…Let us note that in the particular case κ = 0, we recover the result of [3] in four dimensions. The equation ( 71) is in general nonlinear.…”

Section: Extreme Configurationssupporting

confidence: 75%

“…There are many other relationships between ρ and V (or ρ and Θ for the Type II cofigurations) that can be examined. Some of them lead to well known equations from soliton physics [6], [7], [3]. Although interesting, we shall not consider these possibilities in explicit form in the present work.…”

Section: Extreme Configurationsmentioning

confidence: 99%

“…However, no interior solution has been found which matches the GMGHS solution. A generalization of (1) incorporating matter (a perfect fluid) was considered in [3]. The authors examined static extreme perfect fluid distributions.…”

Section: Introductionmentioning

confidence: 99%

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Charged Perfect Fluid Configurations With a Dilaton Field

Yazadjiev

2005

Mod. Phys. Lett. A

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We examine static charged perfect fluid configurations in the presence of a dilaton field. A method for construction of interior solutions is given. An explicit example of an interior solution which matches continuously the external Gibbons-Maeda-Garfinkle-Horowitz-Strominger solution is presented. Extremely charged perfect fluid configurations with a dilaton are also examined. We show that there are two types of extreme configurations. For each type the field equations are reduced to a single nonlinear equation on a space of a constant curvature. In the particular case of a perfect fluid with a linear equation of state, the field equations of the first type configurations are reduced to a Helmlotz equation on a space with a constant curvature. An explicit example of an extreme configuration is given and discussed.

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“…Let us note that in the particular case κ = 0, we recover the result of [3] in four dimensions. The equation ( 71) is in general nonlinear.…”

Section: Extreme Configurationssupporting

confidence: 75%

Section: Extreme Configurationsmentioning

confidence: 99%

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Charged Perfect Fluid Configurations With a Dilaton Field

Yazadjiev

2005

Mod. Phys. Lett. A

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“…Other choices for ρ were considered by Varela [7], who discussed charged dust solutions in the non-linear case of this equation. Ida [8] studied solutions with charged perfect fluids, and Cho et al [9] generalised this theory with the inclusion of a dilaton field.…”

Section: Introductionmentioning

confidence: 99%

Construction of Sources for Majumdar-Papapetrou Spacetimes

Varela

2003

General Relativity and Gravitation

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We study Majumdar-Papapetrou solutions for the 3+1 Einstein-Maxwell equations, with charged dust acting as the external source for the fields. The spherically symmetric solution of Gürses is considered in detail. We introduce new parameters that simplify the construction of class C 1 , singularity-free geometries. The arising sources are bounded or unbounded, and the redshift of light signals allows an observer at spatial infinity to distinguish these cases. We find out an interesting affinity between the conformastatic metric and some homothetic, matter and Ricci collineations. The associated non-Noetherian symmetries provide us with distinctive solutions that can be used to construct non-singular sources for Majumdar-Papapetrou spacetimes.

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“…However, in the literature for the continuous case, much attention has been given to dust models with spherical star or shell structures [3,9,10,12,13,14,16,17,19,34] with the focus on explicit construction of solutions. There has not yet been any study of the existence problem of the governing elliptic equation when the matter distribution is arbitrarily prescribed nor of the transition process from the continuous model to the discrete model.…”

Section: Introductionmentioning

confidence: 99%

Charged cosmological dust solutions of the coupled Einstein and Maxwell equations

Spruck

Yang²

2010

Discrete &Amp; Continuous Dynamical Systems - A

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It is well known through the work of Majumdar, Papapetrou, Hartle, and Hawking that the coupled Einstein and Maxwell equations admit a static multiple blackhole solution representing a balanced equilibrium state of finitely many point charges. This is a result of the exact cancellation of gravitational attraction and electric repulsion under an explicit condition on the mass and charge ratio. The resulting system of particles, known as an extremely charged dust, gives rise to examples of spacetimes with naked singularities. In this paper, we consider the continuous limit of the Majumdar-Papapetrou-Hartle-Hawking solution modeling a space occupied by an extended distribution of extremely charged dust. We show that for a given smooth distribution of matter of finite ADM mass there is a continuous family of smooth solutions realizing asymptotically flat space metrics.

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Extremely charged static perfect fluid distributions with dilaton in curved spacetimes

Cited by 7 publications

References 4 publications

Charged Perfect Fluid Configurations With a Dilaton Field

Charged Perfect Fluid Configurations With a Dilaton Field

Construction of Sources for Majumdar-Papapetrou Spacetimes

Charged cosmological dust solutions of the coupled Einstein and Maxwell equations

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