Primordial Black Hole Pair Creation Probability in Modified Gravitational Theory

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dc.creatorPaul, B. C.
dc.creatorPaul, Dilip
dc.date2005-11-01
dc.date.accessioned2026-07-07T11:06:17Z
dc.date.available2026-07-07T11:06:17Z
dc.descriptionThe probability for quantum creation of an inflationary universe with a pair of black holes is computed in a modified gravitational theory. Considering a gravitational action which includes a cosmological constant ($Λ$) in addition to $ αR^{2} $ and $ δR^{-1}$ terms, the probabilities have been evaluated for two different kinds of spatial sections, one accommodating a pair of black holes and the other without black hole. We adopt a technique prescribed by Bousso and Hawking to calculate the above creation probability in a semiclassical approximation with Hartle-Hawking boundary condition. Depending on the parameters in the action some new and physically interesting instanton solutions are presented here which may play an important role in the creation of the early universe. We note that the probability of creation of a universe with a pair of black holes is strongly suppressed with a positive cosmological constant when $δ= \frac{4 Λ^{2}}{3}$ for $α> 0$ but it is more probable for $α< - \frac{1}{6 Λ}$. It is also found that instanton solutions are allowed without a cosmological constant in the theory provided $δ< 0$.
dc.description17 pages, no figure
dc.identifierhttps://arxiv.org/abs/hep-th/0511003
dc.identifierhttp://arxiv.org/abs/hep-th/0511003
dc.identifierPhys.Rev.D74:084015,2006
dc.identifierdoi:10.1103/PhysRevD.74.084015
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/189468
dc.subjectHigh Energy Physics - Theory
dc.titlePrimordial Black Hole Pair Creation Probability in Modified Gravitational Theory
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