On a scalar field in some Kantowski-Sach's universe

Details On a scalar field in some Kantowski-Sach's universe On a scalar field in some Kantowski-Sach's universe

Nov 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987stin...8914200n&link_type=abstract

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Physics

Astronomical Models, Cosmology, Einstein Equations, Scalars, Universe, Matter (Physics), Space-Time Functions

Scientific paper

As a sequel to the previous note (RRK 87 - 24) on a scalar field in Nariai's universe with the topology Hermitian conjugate of S2 x the tensor product of S2, a similar field in some Kantowski-Sach's universe satisfying the vacuum Einstein equations Rmu upsilon = lambda gmu upsilon (in similar to ours) is worked out. The resulting wave equation for the scalar field phi(t, x) is reduced to a second-order differential equation for Tkl (t) (the time-dependent part of phi(t, x)) which is approximately solved not only in the neighborhood of x ident. to t/a(lambda a sq ident. to 3) approx. 0, but also in the neighborhood of x ident. to t/a approaching infinity. Such a work will be useful for dealing with its quantized version in connection with the pair-creation of those particles.

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