Determination of elementary first integrals of a generalized Raychaudhuri equation by the Darboux integrability method

Journal Article · Thu Oct 15 04:00:00 EDT 2009 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.3243455· OSTI ID:21294391

Choudhury, A Ghose ^[1]; Guha, Partha ^[2]; Khanra, Barun ^[3]

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1. Department of Physics, Surendranath College, 24/2 Mahatma Gandhi Road, Calcutta 700009 (India)
2. Max Planck Institute for Mathematics in the Sciences, Inselstrasse 22, D-04103 Leipzig, Germany and S.N. Bose National Centre for Basic Sciences, JD Block, Sector III, Salt Lake, Kolkata 700098 (India)
3. Sailendra Sircar Vidyalaya, 62A Shyampukur Street, Calcutta 700 004 (India)

The Darboux integrability method is particularly useful to determine first integrals of nonplanar autonomous systems of ordinary differential equations, whose associated vector fields are polynomials. In particular, we obtain first integrals for a variant of the generalized Raychaudhuri equation, which has appeared in string inspired modern cosmology.

• OSTI ID: 21294391
• Journal Information: Journal of Mathematical Physics, Journal Name: Journal of Mathematical Physics Journal Issue: 10 Vol. 50; ISSN JMAPAQ; ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

97 MATHEMATICS AND COMPUTING
COSMOLOGY
DIFFERENTIAL EQUATIONS
INTEGRAL EQUATIONS
INTEGRALS
POLYNOMIALS
STRING THEORY
VECTOR FIELDS
VECTORS