Linearisation Instabilities of the Massive Nonsymmetric Gravitational Theory

Abstract

The massive nonsymmetric gravitational theory is shown to posses a linearisation instability at purely GR field configurations, disallowing the use of the linear approximation in these situations. It is also shown that arbitrarily small antisymmetric sector Cauchy data leads to singular evolution unless an ad hoc condition is imposed on the initial data hypersurface.

14 pages, IOP style for submission to CQG. Minor changes and additional background material added

References in corpus (9)

• Nonsymmetric Gravitational Theory
• Nonsymmetric Gravity Theories: Inconsistencies and a Cure
• Galaxy Dynamics Predictions in the Nonsymmetric Gravitational Theory
• Galaxy Dynamics Predictions in the Nonsymmetric Gravitational Theory
• Massive NGT and Spherically Symmetric Systems
• Regularity Theorems in the Nonsymmetric Gravitational Theory
• Field Equations and Conservation Laws in the Nonsymmetric Gravitational Theory
• Dynamical Constraints in the Nonsymmetric Gravitational Theory
• Analysis of the Non-singular Wyman-Schwarzschild Metric

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• Instabilities in Metric-Affine Theories of Gravity
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• Causality, shocks and instabilities in vector field models of Lorentz symmetry breaking
• Dynamical Constraints in the Nonsymmetric Gravitational Theory
• Nonassociative geometry of nonholonomic phase spaces with star R-flux string deformations and (non) symmetric metrics
• The Dynamical Instability of Static, Spherically Symmetric Solutions in Nonsymmetric Gravitational Theories
• On axiomatic formulation of gravity and matter field theories with MDRs and Finsler-Lagrange-Hamilton geometry on (co)tangent Lorentz bundles
• Vector wormholes as conduits for matter interaction
• Homothetic Wyman Spacetimes