Instabilities in the nonsymmetric theory of gravitation

2006/04/21 by Tomas Janssen, Tomislav Prokopec · 3 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Pulsars and Gravitational Waves Research #gr-qc

paper · pdf · doi:10.1088/0264-9381/23/15/015

published as Class.Quant.Grav. 23 (2006) 4967-4982 · 29 pages

arxiv created 2006/04/21 · openalex publication_date 2006/07/19 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30

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 particularly 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 the 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.

Citations

• Antisymmetric Metric Field as Dark Matter
• Modified Gravitational Theory as an Alternative to Dark Energy and Dark Matter
• Dynamical Constraints in the Nonsymmetric Gravitational Theory
• A modification of the Newtonian dynamics as a possible alternative to the hidden mass hypothesis
• The cosmology of the nonsymmetric theory of gravitation
• Nonsymmetric gravity theories: Inconsistencies and a cure
• The Confrontation between General Relativity and Experiment

Cited by

• On some developments in the Nonsymmetric Kaluza–Klein Theory
• Inflation and dark energy from three-forms
• Signatures of Noncommutative Geometry in Muon Decay for Nonsymmetric Gravity