Instabilities in the nonsymmetric theory of gravitation

Abstract

We consider the linearized nonsymmetric theory of gravitation (NGT) within the background of an expanding universe and near a Schwarzschild metric. We show that the theory always develops instabilities unless the linearized nonsymmetric lagrangian reduces to a particular simple form. This theory 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. Next we discuss NGT beyond linearized level and conjecture that the instabilities are not a relic of the linearization, but are a general feature of the full theory. Finally we show that one cannot add ad-hoc constraints to remove the instabilities as is possible with the instabilities found in NGT by Clayton.

arXiv comment29 pages

References in corpus (12)

• The Confrontation between General Relativity and Experiment
• Relativistic gravitation theory for the MOND paradigm
• Gravitational Theory, Galaxy Rotation Curves and Cosmology without Dark Matter
• Nonsymmetric Gravitational Theory
• Nonsymmetric Gravity Theories: Inconsistencies and a Cure
• The cosmology of the nonsymmetric theory of gravitation
• Massive NGT and Spherically Symmetric Systems
• Linearisation Instabilities of the Massive Nonsymmetric Gravitational Theory
• Modified Gravitational Theory as an Alternative to Dark Energy and Dark Matter
• Hermitian Geometry and Complex Space-Time
• Dynamical Constraints in the Nonsymmetric Gravitational Theory
• Antisymmetric Metric Field as Dark Matter

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