Global structure and physical interpretation of the Fonarev solution for a scalar field with exponential potential

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dc.creatorMaeda, Hideki
dc.date2007-04-20
dc.date2007-04-24
dc.date.accessioned2026-07-07T07:57:44Z
dc.date.available2026-07-07T07:57:44Z
dc.descriptionWe discuss the physical interpretation of a dynamical and inhomogeneous spherically symmetric solution obtained by Fonarev for a scalar field with an exponential potential. There is a single parameter $w$ in the solution which can be set to $\pm1$ if it is non-zero, in addition to the steepness parameter $λ$ in the potential. The spacetime is conformally static and asymptotically flat Friedmann-Robertson-Walker spacetime. The solution reduces to the Friedmann-Robertson-Walker solution for $w=0$. There are two curvature singularities, of which one is a timelike central singularity and the other is a big-bang or big-crunch type singularity. Depending on the parameters, the spacetime can possess a future outer trapping horizon in the collapsing case. Then the solution represents a dynamical black hole in the sense of Hayward although there is a locally naked singularity at the center and no black-hole event horizon. This demonstrates a weak point of the local definition of a black hole in terms of a trapping horizon.
dc.description4 pages, 1 figure, revised version with title changed. The solution was obtained by Fonarev in 1995
dc.identifierhttps://arxiv.org/abs/0704.2731
dc.identifierhttp://arxiv.org/abs/0704.2731
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/127752
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Theory
dc.titleGlobal structure and physical interpretation of the Fonarev solution for a scalar field with exponential potential
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