IJPAM: Volume 42, No. 3 (2008)
A SCHRÖDINGER FORMULATION OF
BIANCHI I SCALAR FIELD COSMOLOGY
BIANCHI I SCALAR FIELD COSMOLOGY
Jennie D'Ambroise
Department of Mathematics and Statistics
University of Massachusetts
Amherst, MA 01003, USA
e-mail: dambroise@math.umass.edu
Department of Mathematics and Statistics
University of Massachusetts
Amherst, MA 01003, USA
e-mail: dambroise@math.umass.edu
Abstract.We show that the Bianchi I Einstein field equations in a perfect fluid scalar field cosmology are equivalent to a linear Schrödinger equation. This is achieved through a special case of the recent FLRW Schrödinger-type formulation, and provides an alternate method of obtaining exact solutions of the Bianchi I equations.
Received: August 17, 2007
AMS Subject Classification: 83C05, 83C15
Key Words and Phrases: Einstein field equations, Bianchi I universe, Friedmann-Lemaître-Robertson-Walker universe, perfect fluid, Schrödinger equation
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2008
Volume: 42
Issue: 3
