Theoretical problems in nonsymmetric gravitational theory

Damour, Thibault; Deser, S.; McCarthy, Jim

doi:10.1103/physrevd.45.r3289

Cited by 29 publications

(44 citation statements)

References 15 publications

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“…In I it was claimed that the energy of the emitted radiation coming from the current source S α is positive definite. As the part coming from the stress T αβ has no problem, it was concluded that the theory is free of ghostnegative radiative modes which, as shown by Damour, Deser and McCarthy (DDM) [3], were present in previous theories. However, in analyzing the radiation coming from the current source S α only a part of the Lagrangian, its antisymmetric sector, was taken into account leaving it open the question of what the contribution coming from the other part, the symmetric sector, might be.…”

Section: Introductionmentioning

confidence: 91%

Ghost free analysis of a nonsymmetric theory of gravitation

Ragusa¹,

Céleri²

2003

Braz. J. Phys.

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Section: Introductionmentioning

confidence: 91%

Ghost free analysis of a nonsymmetric theory of gravitation

Ragusa¹,

Céleri²

2003

Braz. J. Phys.

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“…Damour, Deser & McCarthy show that the theories of Einstein and Einstein & Straus (together with further geometrical theories) “violate standard physical requirements” such as to be free of ghosts107 and with absence of algebraic inconsistencies [101, 102]. On the other hand, the authors showed that the following Lagrangian, closely related to an expansion in powers of k ij = g [ ij ] of the Einstein-Straus Lagrangian, would be acceptable: with H rst := ∂ r k st + d t k rs + ∂ s k tr .…”

Section: Mixed Geometry: Einstein’s New Attemptmentioning

confidence: 99%

On the History of Unified Field Theories. Part II. (ca. 1930–ca. 1965)

Goenner

2014

Living Rev. Relativ.

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The present review intends to provide an overall picture of the research concerning classical unified field theory, worldwide, in the decades between the mid-1930 and mid-1960. Main themes are the conceptual and methodical development of the field, the interaction among the scientists working in it, their opinions and interpretations. Next to the most prominent players, A. Einstein and E. Schrödinger, V. Hlavatý and the French groups around A. Lichnerowicz, M.-A. Tonnelat, and Y. Thiry are presented. It is shown that they have given contributions of comparable importance. The review also includes a few sections on the fringes of the central topic like Born-Infeld electromagnetic theory or scalar-tensor theory. Some comments on the structure and organization of research-groups are also made.

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“…Kelly [4] and Damour, Deser and McCarthy (DDM) [8] have proposed expanding g,, about a pure Einstein local vacuum background metric:…”

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confidence: 99%

“…The field equations that determine hi,,] without reference t o W, are obtained by expanding equations (7) and (8).…”

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confidence: 99%

Remarks on theoretical problems in nonsymmetric gravitational theory

Cornish

Moffat

1993

Phys. Rev. D

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Damour, Deser, and McCarthy have claimed that the nonsymmetric gravitational theory (NGT) is untenable due to curvature coupled ghost modes and bad asymptotic behavior. This claim is false for it is based on the incorrect assertion that only non-falling-off solutions can be found for the field equations, and that the nonexistence of an exact gauge symmetry for the skew sector leads to a flux of negative energy. We show that the NGT has solutions compatible with physical boundary conditions and that the flux of gravitational radiation in NGT is finite in magnitude and positive in sign.PACS number(s) : 04.50.fhThe nonsymmetric gravitational theory (NGT) has been extensively studied over a period of years [1,2] and these studies have shown that the theory is a mathematically consistent alternative t o Einstein's gravitational theory [general relativity (GR)]. Other possible versions of nonsymmetric gravitational theories [3,4] have either been shown t o possess.ghost poles in the linear approximation or not t o contain static spherically symmetric solutions, which have a Schwarzschild-like behavior a t large distances, unless the parameter describing the Schwarzschild mass is forced to be negative definite [4].The NGT Lagrangian without sources is of the form 121 :and where a semicolon denotes covariant differentiation with respect to the connection I?;,. Equations (7) and (8) are constrained, in turn, by the identities The field equations are further constrained by the four Bianchi identities: where The empty space field equations which follow from (1) are These field equations represent 12 independent equations for the 12 independent field variables g, , [there exist four arbitrary coordinate transformations: dxlP = ( 8 x 1~/ a x a ) d z a , which can be used to remove 4 of the 16 ~P V ' S I . Equation ( 5 ) can be decomposed into the two sets of equations R{[P"],U) = R[,"] (r'),u + R [ W U I (~) ,~ + R[UPl ( r ) , " = 07where G,,(r) = R,, ( r ) -g,,R(I').Employing Eq. (6) to eliminate I? in favor of g,,, Eqs. (4), (7), and (8) represent 18 equations for g,,. Taking into account the six identities (lo), ( l l ) , and (12)) this set of equations provides 12 independent field equations for the 12 independent field variables, g,,. At no stage have we had to refer to the vector WP. WP does not describe dynamical degrees of freedom, in keeping with the fact that it corresponds t o a Lagrange multiplier. Of course, one could use Eq. (9) t o solve for W, in terms of the previously determined g,, but this would serve no useful purpose.In a weak-field approximation obtained from expanding g, , about the Minkowski spacetime metric qPv, where E << 1, the field equations take the form, to lowest order, 4422 N . J. CORNISH AND J. W. MOFFAT -47where = 8P8, and h = qCYPh,p. We see that the symmetric part of the field equations decouples from the skew part, and that it is identical to that of GR. The skew equations take the form of Kalb-Ramond-Kimura equations [5] in a permanently fixed gauge [although (15) are, strictly speaking...

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Theoretical problems in nonsymmetric gravitational theory

Cited by 29 publications

References 15 publications

Ghost free analysis of a nonsymmetric theory of gravitation

Ghost free analysis of a nonsymmetric theory of gravitation

On the History of Unified Field Theories. Part II. (ca. 1930–ca. 1965)

Remarks on theoretical problems in nonsymmetric gravitational theory

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