Problems and hopes in nonsymmetric gravity

Abstract

We consider the linearized nonsymmetric theory of gravitation (NGT) within the background of an expanding universe and near a Schwarzschild mass. We show that the theory always develops instabilities unless the linearized nonsymmetric lagrangian reduces to a particular simple form. This form contains a gauge invariant kinetic term, a mass term for the antisymmetric metric-field and a coupling with the Ricci curvature scalar. This form cannot be obtained within NGT. Based on the linearized lagrangian we know to be stable, we consider the generation and evolution of quantum fluctuations of the antisymmetric gravitational field (B-field) from inflation up to the present day. We find that a B-field with a mass m ~ 0.03(H_I/10^(13)GeV)^4 eV is an excellent dark matter candidate.

9 pages, 1 figure. Based on two talks by the authors at the 2nd International Conference on Quantum Theories and Renormalization Group in Gravity and Cosmology (IRGAC) 2006, Barcelona

References in corpus (8)

• Gravitational Theory, Galaxy Rotation Curves and Cosmology without Dark Matter
• Nonsymmetric Gravitational Theory
• Nonsymmetric Gravity Theories: Inconsistencies and a Cure
• Instabilities in the nonsymmetric theory of gravitation
• The cosmology of the nonsymmetric theory of gravitation
• Massive NGT and Spherically Symmetric Systems
• Hermitian Geometry and Complex Space-Time
• On the formation of black holes in non-symmetric gravity

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• On the Weyl - Eddington - Einstein affine gravity in the context of modern cosmology
• Einstein Gravity in Almost Kahler Variables and Stability of Gravity with Nonholonomic Distributions and Nonsymmetric Metrics
• Nonassociative geometry of nonholonomic phase spaces with star R-flux string deformations and (non) symmetric metrics
• Implications of nonsymmetric metric theories for particle physics. New interpretation of the Pauli coupling
• Signatures of Noncommutative Geometry in Muon Decay for Nonsymmetric Gravity
• The evolution of Brown-York quasilocal energy due to evolution of Lovelock gravity in a system of M0-branes