Vacuum stress tensor for a slightly squashed Einstein universe

Details Vacuum stress tensor for a slightly squashed Einstein universe Vacuum stress tensor for a slightly squashed Einstein universe

Aug 1981

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981jpha...14.1943c&link_type=abstract

Journal of Physics A - Mathematical and General, vol. 14, Aug. 1981, p. 1943-1955.

Mathematics

Group Theory

19

Einstein Equations, Gravitation Theory, Space-Time Functions, Stress Tensors, Universe, Vacuum Effects, Asymmetry, Eigenvalues, Field Theory (Physics), Gravitational Fields, Green'S Functions, Group Theory, Klein-Gordon Equation, Scalars

Scientific paper

The reported investigation is concerned with a free scalar field, massive and conformally coupled on an Einstein universe with a 'squashed' spatial section, i.e. on a frozen Mixmaster universe. The reasons for choosing this space-time are considered. It is not conformally flat. This makes it possible to study the massless case more generally. The particular spatial section discussed is the one that retains a certain amount of symmetry. The symmetry group of the three-sphere S super 3 is SU(2)xSU(2), corresponding to body-fixed and space-fixed 'rotations' of the (ideal) spherical top whose configuration space is isometric to S super 3. A 'symmetric' top (an oblate or prolate spheroid) has a configuration space whose continuous symmetry group is SU(2)xSO(2). The latter case is considered, taking into account the evaluation of the mode functions and energies. The obtained results show that a squashed Einstein universe can self-consistently be maintained by the vacuum energy-momentum tensor of a massless scalar field.

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