Gravity, ghosts, and strings

Mann, Robert B.

doi:10.1139/p86-109

Cited by 6 publications

(3 citation statements)

References 34 publications

(80 reference statements)

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“…One also sees the true propagating nature of W , and this is borne out by the analysis in [26,27] where there are five degrees of freedom evolving from each Cauchy surface, the extra two of which are associated with the field W . That a Lagrange multiplier is propagating merely signifies that it is a determined multiplier, with its evolution derived from the field equations [15] and not freely fixable as was done in [28,29] and in the next to last section of [24] where ad hoc constraints were imposed on the linearized theory in order to obtain the dynamics of a Kalb-Ramond theory. That these constraints cannot exist is clear from the lack of gauge invariance in the full NGT action.…”

Section: Massive Ngtmentioning

confidence: 99%

“…The reduction to Lorentz frames is also possible as one is assuming that the symmetric part of the metric that one is attempting to diagonalize is nondegenerate, allowing the reduction of the frame bundle. This construction will be of importance when considering the canonical analysis of NGT, as one would like to work in a surface compatible (generally non-coordinate) basis in order to avoid specialization to a particular choice of time parameter fixed by the foliation of the manifold, and is easily applied to other systems with a nonsymmetric metric and connection [29].…”

Section: Nonsymmetric Theories In a General Framementioning

confidence: 99%

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Massive NGT and spherically symmetric systems

Clayton

1996

Journal of Mathematical Physics

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The arguments leading to the introduction of the massive Nonsymmetric Gravitational action are reviewed [1,2], leading to an action that gives asymptotically well-behaved perturbations on GR backgrounds. Through the analysis of spherically symmetric perturbations about GR (Schwarzschild) and NGT (Wyman-type) static backgrounds, it is shown that spherically symmetric systems are not guaranteed to be static, and hence Birkhoff's theorem is not valid in NGT. This implies that in general one must consider time dependent exteriors when looking at spherically symmetric systems in NGT. For the surviving monopole mode considered here there is no energy flux as it is short ranged by construction. Further work on the spherically symmetric case will be motivated through a discussion of the possibility that there remain additional modes that do not show up in weak field situations, but nonetheless exist in the full theory and may again result in bad global asymptotics. A presentation of the action and field equations in a general frame is given in the course of the paper, providing an alternative approach to dealing with the algebraic complications inherent in NGT, as well as offering a more general framework for discussing the physics of the antisymmetric sector.

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Section: Massive Ngtmentioning

confidence: 99%

Section: Nonsymmetric Theories In a General Framementioning

confidence: 99%

Massive NGT and spherically symmetric systems

Clayton

1996

Journal of Mathematical Physics

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“…This theory is distinct from NGT as it involves a different choice of fundamental variables on which the theory is based [16], although the geometric and algebraic structures of the two theories are the same. In NGT both the metric and connection are varied independently, whereas in the aforementioned new theory, only the metric is considered to be independent, with the connection being uniquely determined by the compatibility condition.…”

Section: Introductionmentioning

confidence: 99%

Static spherically symmetric solutions in a new algebraically extended theory of gravity

Kelly¹,

Mann²

1987

Class. Quantum Grav.

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The method of algebraic extension has yielded a new theory of gravitation in which the torsion is uniquely computable in terms of the generalised metric tensor. The authors solve the field equations for this theory in the static, spherically symmetric case. Two distinct solutions emerge which asymptotically approach flat space and have a Newtonian 'mass' parameter. In one of the solutions, this parameter arises in a manner analogous to general relativity; in the other solution the mass parameter has a completely different origin intimately related to the algebraically extended structure of the theory. They comment on the possible experimental relevance of extended theories.

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New ghost-free extensions of general relativity

Mann

1989

Class. Quantum Grav.

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The method of algebraic extension is shown to yield a large class of gravitational theories which are extensions of general relativity. Requiring positivity of energy in the flat-space limit of such theories provides some constraints, but a large set of theories of potential phenomenological interest survives this condition. Explicit examples of such theories include the non-symmetric gravitational theory of Moffat, algebraically extended Hilbert gravity and a one-parameter family of theories with dynamical torsion. In general such theories do not alter general relativistic post-Newtonian predictions for time delay experiments; rather they alter the non-linearities of the post-Newtonian gravitational potential. Such effects may be probed by measuring periastron shifts, as in the eclipsing binary systems Di Her and AS Cam, as well as in the binary pulsar PSR 1913+16.

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Gravity, ghosts, and strings

Cited by 6 publications

References 34 publications

Massive NGT and spherically symmetric systems

Massive NGT and spherically symmetric systems

Static spherically symmetric solutions in a new algebraically extended theory of gravity

New ghost-free extensions of general relativity

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