Probability for primordial black holes in a multidimensional universe with nonlinear scalar curvature terms

Journal Article · Wed Oct 15 04:00:00 EDT 2008 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.78.084007· OSTI ID:21254432

Paul, B C; Ghose, S ^[1]; Saha, A ^[2]

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1. Physics Department, North Bengal University Darjeeling, PIN: 734 430 (India)
2. Department of Physics, Darjeeling Govt. College Darjeeling, PIN: 734 101 (India)

We investigate multidimensional universe with nonlinear scalar curvature terms to evaluate the probability of creation of primordial black holes. For this we obtain Euclidean instanton solution in two different topologies: (a) S{sup D-1}--topology which does not accommodate primordial black holes and (b) S{sup 1}xS{sup D-2}--topology which accommodates a pair of black holes. The probability for quantum creation of an inflationary universe with a pair of black holes has been evaluated assuming a gravitational action which is described by a polynomial function of scalar curvature with or without a cosmological constant ({lambda}) using the framework of semiclassical approximation of Hartle-Hawking boundary conditions. We discuss here a class of new gravitational instantons solution in the R{sup 4} theory which are relevant for cosmological model building.

• OSTI ID: 21254432
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 8 Vol. 78; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
79 ASTRONOMY AND ASTROPHYSICS
BLACK HOLES
BOUNDARY CONDITIONS
COSMOLOGICAL CONSTANT
COSMOLOGICAL MODELS
EUCLIDEAN SPACE
GRAVITATIONAL WAVES
INFLATIONARY UNIVERSE
INSTANTONS
MANY-DIMENSIONAL CALCULATIONS
MATHEMATICAL SOLUTIONS
NONLINEAR PROBLEMS
POLYNOMIALS
PROBABILITY
SEMICLASSICAL APPROXIMATION
UNIVERSE