General relativity and general Lorentz-covariance

Hans-J�rgen Treder

doi:10.1007/bf00674007

General relativity and general Lorentz-covariance

International Journal of Theoretical Physics ◽

10.1007/bf00674007 ◽

1970 ◽

Vol 3 (1) ◽

pp. 23-31 ◽

Cited By ~ 16

Author(s):

Hans-J�rgen Treder

Keyword(s):

General Relativity ◽

Lorentz Covariance

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How general relativity and Lorentz covariance arise from the spatially-covariant effective field theory of the transverse, traceless graviton

International Journal of Modern Physics D ◽

10.1142/s0218271814420127 ◽

2014 ◽

Vol 23 (12) ◽

pp. 1442012 ◽

Cited By ~ 1

Author(s):

Justin Khoury ◽

Godfrey E. J. Miller ◽

Andrew J. Tolley

Keyword(s):

Field Theory ◽

General Relativity ◽

Effective Field Theory ◽

Degrees Of Freedom ◽

Effective Field ◽

Point Of View ◽

Low Energy ◽

Fundamental Physics ◽

Lorentz Covariance

Traditional derivations of general relativity (GR) from the graviton degrees of freedom assume spacetime Lorentz covariance as an axiom. In this paper, we survey recent evidence that GR is the unique spatially-covariant effective field theory of the transverse, traceless graviton degrees of freedom. The Lorentz covariance of GR, having not been assumed in our analysis, is thus plausibly interpreted as an accidental or emergent symmetry of the gravitational sector. From this point of view, Lorentz covariance is a necessary feature of low-energy graviton dynamics, not a property of spacetime. This result has revolutionary implications for fundamental physics.

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ON THE UNIQUENESS OF D = 11 INTERACTIONS AMONG A GRAVITON, A MASSLESS GRAVITINO AND A THREE-FORM I: PAULI–FIERZ AND THREE-FORM

International Journal of Modern Physics A ◽

10.1142/s0217751x08041220 ◽

2008 ◽

Vol 23 (29) ◽

pp. 4721-4755 ◽

Cited By ~ 4

Author(s):

EUGEN-MIHĂIŢĂ CIOROIANU ◽

EUGEN DIACONU ◽

SILVIU CONSTANTIN SĂRARU

Keyword(s):

General Relativity ◽

Gauge Field ◽

Deformation Theory ◽

Coupling Constant ◽

Lorentz Covariance ◽

Massless Spin ◽

Brst Cohomology

Cross-couplings between a massless spin-two field (described in the free limit by the Pauli–Fierz action) and an Abelian three-form gauge field in D = 11 are investigated in the framework of the deformation theory based on local BRST cohomology. These consistent interactions are obtained on the grounds of smoothness in the coupling constant, locality, Lorentz covariance, Poincaré invariance, and the presence of at most two derivatives in the interacting Lagrangian. Our results confirm the uniqueness of the 11-dimensional interactions between a graviton and a three-form prescribed by general relativity.

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