×

Stability of universe using Poisson equation with bilinear cosmological term. (English) Zbl 1086.83508

Simos, Theodore S. (ed.) et al., ICNAAM 2005. International conference on numerical analysis and applied mathematics 2005. Official conference of the European Society of Computational Methods in Sciences and Engineering (ESCMSE), Rhodes, Greek, September 16–20, 2005. Weinheim: Wiley-VCH (ISBN 3-527-40652-2/hbk). 298-302 (2005).
Summary: Several conceptual difficulties in cosmology may be removed by adding a cosmological term, however, not just linear in the fundamental tensor, but bilinear i.e. involving the energy-momentum tensor too, To simplify the analysis we work here with a Newtonianlike approximation, i.e., the Poisson equation has a cosmological term bilinear in the potential and the mass density. We consider the equilibrium, not yet an expanding universe. A linear perturbation analysis shows that a universe corresponding to this equation allows only sound waves, except possibly for an unrealistic special case. The second-order analysis confirms the stability. A surprising result is that the potential is not affected by the perturbation, allowing an interesting physical interpretation.
For the entire collection see [Zbl 1074.65001].

MSC:

83D05 Relativistic gravitational theories other than Einstein’s, including asymmetric field theories
83F05 Relativistic cosmology
PDFBibTeX XMLCite