General relativity without the metric

Capovilla, Riccardo; Jacobson, Ted; Dell, John

doi:10.1103/physrevlett.63.2325

Cited by 175 publications

(287 citation statements)

References 10 publications

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“…In ref. [12,13] it has been shown that in 3+1 decomposition this action yields Ashteker action directly provided we have a = − 1 2 and the determinant of the magnetic field B i a is non zero and as such the equivalence to the Einstein's theory is established. The equivalence to the Einstein's theory can also be shown when the space time metric is found to be given by…”

Section: Inflationary Modeling With the Cp Violating Termmentioning

confidence: 99%

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Quantum gravity effect in torsion driven inflation and CP violation

Choudhury

Pal

Basu

et al. 2015

J. High Energ. Phys.

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Section: Inflationary Modeling With the Cp Violating Termmentioning

confidence: 99%

“…gives rise to a CP-violating θ term in the CJD Lagrangian so that for a = −1/2 the action now reads [4,[12][13][14][15]:…”

Section: Jhep10(2015)194mentioning

confidence: 99%

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Quantum gravity effect in torsion driven inflation and CP violation

Choudhury

Pal

Basu

et al. 2015

J. High Energ. Phys.

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“…We will take as our starting point a fundamental fact about general relativity and supergravity, which is that they arise by constraining the actions for topological quantum field theories [11,12,13]. This suggests the following strategy: find a way to represent some topological quantum field theory as a matrix model, and then find a way to naturally extend it to include the symmetries M theory is expected to have.…”

Section: Matrix Representation Of Topological Field Theorymentioning

confidence: 99%

“…One might worry that this leads to instabilities, however as in the case of pure general relativity (with vanishing cosmological constant and in the compact case) the action vanishes on shell. In fact the theory shares several characteristics with first order formulations of general relativity and supergravity, some of which are also cubic in the basic variables [11,12,13]. In those theories time is only introduced by expanding the theory around a particular classical background.…”

Section: Introductionmentioning

confidence: 99%

theory as a matrix extension of Chern–Simons theory

Smolin

2000

Nuclear Physics B

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We study a new class of matrix models, the simplest of which is based on an Sp(2) symmetry and has a compactification which is equivalent to Chern-Simons theory on the three-torus. By replacing Sp(2) with the super-algebra Osp(1|32), which has been conjectured to be the full symmetry group of M theory, we arrive at a supercovariant matrix model which appears to contain within it the previously proposed M theory matrix models. There is no background spacetime so that time and dynamics are introduced via compactifications which break the full covariance of the model. Three compactifications are studied corresponding to a hamiltonian quantization in D = 10 + 1, a Lorentz invariant quantization in D = 9 + 1 and a light cone gauge quantization in D = 11 = 9 + 1 + 1. In all cases constraints arise which eliminate certain higher spin fields in terms of lower spin dynamical fields. In the SO(9, 1) invariant compactification we argue that the one loop effective action reduces to the IKKT covariant matrix model. In the light cone gauge compactification the theory contains the standard M theory light cone gauge matrix model, but there appears an additional transverse five form field.

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Linear pre-metric electrodynamics and deduction of the light cone

Rubilar

2002

Ann. Phys.

106

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We formulate a general framework for describing the electromagnetic properties of spacetime. These properties are encoded in the 'constitutive tensor of the vacuum', a quantity analogous to that used in the description of material media. We give a generally covariant derivation of the Fresnel equation describing the local properties of the propagation of electromagnetic waves for the case of the most general possible linear constitutive tensor. We also study the particular case in which a light cone structure is induced and the circumstances under which such a structure emerges. In particular, we will study the relationship between the dual operators defined by the constitutive tensor under certain conditions and the existence of a conformal metric. Closure and symmetry of the constitutive tensor will be found as conditions which ensure the existence of a conformal metric. We will also see how the metric components can be explicitly deduced from the constitutive tensor if these two conditions are met. Finally, we will apply the same method to explore the consequences of relaxing the condition of symmetry and how this affects the emergence of the light cone. * Email: grubilar at udec dot cl.

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General relativity without the metric

Cited by 175 publications

References 10 publications

Quantum gravity effect in torsion driven inflation and CP violation

Quantum gravity effect in torsion driven inflation and CP violation

theory as a matrix extension of Chern–Simons theory

Linear pre-metric electrodynamics and deduction of the light cone

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