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- W3099192011 abstract "Exact black hole and cosmological solutions are obtained for a special two-dimensional dilaton-spectator ($phi-psi$) theory of gravity. We show how in this context any desired spacetime behaviour can be determined by an appropriate choice of a dilaton potential function $V(phi)$ and a ``coupling function'' $l(phi)$ in the action. We illustrate several black hole solutions as examples. In particular, asymptotically flat double- and multiple- horizon black hole solutions are obtained. One solution bears an interesting resemblance to the $2D$ string-theoretic black hole and contains the same thermodynamic properties; another resembles the $4D$ Reissner-Nordstrom solution. We find two characteristic features of all the black hole solutions. First the coupling constants in $l(phi)$ must be set equal to constants of integration (typically the mass). Second, the spectator field $psi$ and its derivative $psi^{'}$ both diverge at any event horizon. A test particle with ``spectator charge ({it i.e.} one coupled either to $psi$ or $psi^{'}$), will therefore encounter an infinite tidal force at the horizon or an ``infinite potential barrier'' located outside the horizon respectively. We also compute the Hawking temperature and entropy for our solutions. In $2D$ $FRW$ cosmology, two non-singular solutions which resemble two exact solutions in $4D$ string-motivated cosmology are obtained. In addition, we construct a singular model which describes the $4D$ standard non-inflationary big bang cosmology ($big-bangrightarrow radiationrightarrow dust$). Motivated by the similaritiesbetween $2D$ and $4D$ gravitational field equations in $FRW$ cosmology, we briefly discuss a special $4D$ dilaton-spectator action constructed from the bosonic part of the low energy heterotic string action and" @default.
- W3099192011 created "2020-11-23" @default.
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- W3099192011 date "1995-07-01" @default.
- W3099192011 modified "2023-09-27" @default.
- W3099192011 title "Exact black hole and cosmological solutions in a two-dimensional dilaton-spectator theory of gravity" @default.
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- W3099192011 doi "https://doi.org/10.1088/0264-9381/12/7/006" @default.
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