Gravitational Theory Related to Simple Invariance Groups

Details Gravitational Theory Related to Simple Invariance Groups Gravitational Theory Related to Simple Invariance Groups

Feb 2005

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2005tmgm.meet.1430h&link_type=abstract

The Tenth Marcel Grossmann Meeting. Proceedings of the MG10 Meeting held at Brazilian Center for Research in Physics (CBPF), Rio

Physics

Scientific paper

The authors generalization of general relativity on the manifold of the de Sitter group manifests in its mathematical structure the following features which are required by observational results:.
(i) A cosmological member.
(ii) The existence of inner and outer dynamical variables (as spin and orbital angular momenta).
(iii) The existence of dark energy resulting from a generalization of the gravitational law.
These features follow from the mathematical structure without that any constant (not even the gravitational constant) has to be inserted.
All vacuum solutions of general relativity with cosmological member are also solutions of the present theory but other solutions (Riemannian and with contortion) exist and give rise to the possibility of sources of the first set of field equations (which are a generalization of the equations of C.N. Yang). Such sources may be identified with spin or angular momentum fulfilling.
(iv) Machs principle. The vacuum solutions of general relativity may be excluded as unphysical because they collapse to a singularity. Einsteins equations with a geometric dark energy term form the second set of equations. The discussed features result from the structure and little attempt is made to find new solutions before the role of each part is clarified. Special cases of the theory can in ten dimensions be given a teleparallelistic form.

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