Probability for a primordial black hole pair in 1/R gravity

Journal Article · Thu Sep 15 04:00:00 EDT 2005 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PhysRevD.72.064012· OSTI ID:20713545

Paul, Dilip; Paul, Bikash Chandra ^[1]

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1. Department of Physics, North Bengal University, Siliguri, District Darjeeling, Pin 734 013 (India)

The probability for quantum creation of an inflationary universe with a pair of black holes in 1/R-gravitational theory has been studied. Considering a gravitational action which includes a cosmological constant ({lambda}) in addition to {delta}R{sup -1} term, the probability has been evaluated in a semiclassical approximation with Hartle-Hawking boundary condition. We obtain instanton solutions determined by the parameters {delta} and {lambda} satisfying the constraint {delta}{<=}(4{lambda}{sup 2}/3). However, we note that two different classes of instanton solutions exists in the region 0<{delta}<(4{lambda}{sup 2}/3). The probabilities of creation of such configurations are evaluated. It is found that the probability of creation of a universe with a pair of black holes is strongly suppressed with a positive cosmological constant except in one case when 0<{delta}<{lambda}{sup 2}. It is also found that gravitational instanton solution is permitted even with {lambda}=0 but one has to consider {delta}<0. However, in the later case a universe with a pair of black holes is less probable.

• OSTI ID: 20713545
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 6 Vol. 72; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BLACK HOLES
BOUNDARY CONDITIONS
COSMOLOGICAL CONSTANT
COSMOLOGY
GRAVITATION
INFLATIONARY UNIVERSE
MATHEMATICAL SOLUTIONS
PROBABILITY
SEMICLASSICAL APPROXIMATION
UNIVERSE