Double-black-hole solutions of the Einstein-Maxwell-dilaton theory in five dimensions

Stelea, Cristian

doi:10.1103/physrevd.97.024044

Phys. Rev. D

2018

DOI: 10.1103/physrevd.97.024044

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Double-black-hole solutions of the Einstein-Maxwell-dilaton theory in five dimensions

Cristian Stelea

Abstract: We describe a solution-generating technique that will map a static charged solution of the Einstein-Maxwell theory in four (or five) dimensions to a five-dimensional solution of the Einstein-Maxwell-Dilaton theory. As examples of this technique first we show first how to construct the dilatonic version of the Reissner-Nordström solution in five dimensions and then we consider the more general case of the double black hole solutions and describe some of their properties. We found that in the general case the va… Show more

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Cited by 2 publications

References 64 publications

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Spherically symmetric static vacuum solutions in hybrid metric-Palatini gravity

et al. 2019

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We consider vacuum static spherically symmetric solutions in the hybrid metric-Palatini gravity theory, which is a combination of the metric and Palatini f (R) formalisms unifying local constraints at the Solar System level and the late-time cosmic acceleration. We adopt the scalar-tensor representation of the hybrid metric-Palatini theory, in which the scalar-tensor definition of the potential can be represented as a Clairaut differential equation. Due to their mathematical complexity, it is difficult to find exact solutions of the vacuum field equations, and therefore we adopt a numerical approach in studying the behavior of the metric functions and of the scalar field. After reformulating the field equations in a dimensionless form, and by introducing a suitable independent radial coordinate, the field equations are solved numerically. We detect the formation of a black hole from the presence of Killing horizon for the time-like Killing vector in the metric tensor components. Several models, corresponding to different functional forms of the scalar field potential are considered. The thermodynamic properties of these black hole solutions (horizon temperature, specific heat, entropy and evaporation time due to Hawking luminosity) are also investigated in detail.

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Spherically symmetric static vacuum solutions in hybrid metric-Palatini gravity

et al. 2019

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Black hole solutions in the quadratic Weyl conformal geometric theory of gravity

Yang

Harkó

2022

Eur. Phys. J. C

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We consider numerical black hole solutions in the Weyl conformal geometry and its associated conformally invariant Weyl quadratic gravity. In this model, Einstein gravity (with a positive cosmological constant) is recovered in the spontaneously broken phase of Weyl gravity after the Weyl gauge field ($$\omega _{\mu }$$ ω μ ) becomes massive through a Stueckelberg mechanism and it decouples. As a first step in our investigations, we write down the conformally invariant gravitational action, containing a scalar degree of freedom and the Weyl vector. The field equations are derived from the variational principle in the absence of matter. By adopting a static spherically symmetric geometry, the vacuum field equations for the gravitational, scalar, and Weyl fields are obtained. After reformulating the field equations in a dimensionless form, and by introducing a suitable independent radial coordinate, we obtain their solutions numerically. We detect the formation of a black hole from the presence of a Killing horizon for the timelike Killing vector in the metric tensor components, indicating the existence of the singularity in the metric. Several models corresponding to different functional forms of the Weyl vector are considered. An exact black hole model corresponding to a Weyl vector having only a radial spacelike component is also obtained. The thermodynamic properties of the Weyl geometric type black holes (horizon temperature, specific heat, entropy, and evaporation time due to Hawking luminosity) are also analyzed in detail.

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Double-black-hole solutions of the Einstein-Maxwell-dilaton theory in five dimensions

Cited by 2 publications

References 64 publications

Spherically symmetric static vacuum solutions in hybrid metric-Palatini gravity

Spherically symmetric static vacuum solutions in hybrid metric-Palatini gravity

Black hole solutions in the quadratic Weyl conformal geometric theory of gravity

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