Unimodular relativity and cosmological constant

Finkelstein, David; Galiautdinov, Andrei; Baugh, James

doi:10.1063/1.1328077

Cited by 113 publications

(148 citation statements)

References 11 publications

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“…(18) if we postulate that the gravitational field equations are obtained by varying the metric but keeping √ −g = constant. Such unimodular theories of gravitywhich bypass the condition (3) above -have been studied in the literature in the past [18][19][20]. Unfortunately, the motivation to keep √ −g = constant is quite weak.…”

Section: Gravitational Field Equations From a Thermodynamic Extremum mentioning

confidence: 99%

Emergent gravity paradigm: Recent progress

Padmanabhan

2015

Mod. Phys. Lett. A

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Research during the last one decade or so suggests that the gravitational field equations in a large class of theories (including, but not limited to, general relativity) have the same status as the equations of, say, gas dynamics or elasticity. This paradigm provides a refreshingly different way of interpreting spacetime dynamics and highlights the fact that several features of classical gravitational theories have direct thermodynamic interpretation. I review the recent progress in this approach, achieved during the last few years.

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Section: Gravitational Field Equations From a Thermodynamic Extremum mentioning

confidence: 99%

Emergent gravity paradigm: Recent progress

Padmanabhan

2015

Mod. Phys. Lett. A

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“…It is thus of interest to investigate a quantum theory of unimodular gravity. Unimodular gravity in both its quantum and classical form has sparked considerable interest since it was originally proposed [3][4][5][6][7][8][9][10][11][12][13][14][15][16].…”

Section: Jhep04(2015)096mentioning

confidence: 99%

The Renormalization Group flow of unimodular f(R) gravity

Eichhorn

2015

J. High Energ. Phys.

129

101

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Unimodular gravity is classically equivalent to General Relativity. This equivalence extends to actions which are functions of the curvature scalar. At the quantum level, the dynamics could differ. Most importantly, the cosmological constant is not a coupling in the unimodular action, providing a new vantage point from which to address the cosmological constant fine-tuning problem. Here, a quantum theory based on the asymptotic safety scenario is studied, and evidence for an interacting fixed point in unimodular f (R) gravity is found. We study the fixed point and its properties, and also discuss the compatibility of unimodular asymptotic safety with dynamical matter, finding evidence for its compatibility with the matter degrees of freedom of the Standard Model.

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“…Moreover, we wonder whether these two theories could be made formally more similar to one another, for instance by sharing the same symmetry: conformal invariance (recall that the Einstein-Maxwell theory, though somewhat surprisingly due to the massless character of the excitations described, is not conformally invariant). This paper revises Weyl's ideas and their criticisms at the light of recent new developments by the authors [4,5] that are ultimately related to the theory known as unimodular gravity, or its extension Weyl-transverse gravity 2 [6][7][8][9][10][11][12][13][14][15][16][17]; see for recent developments related either with this theory or the core physical ideas behind it.…”

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confidence: 99%

Weyl relativity: a novel approach to Weyl's ideas

Barceló

Carballo-Rubio

Garay

2017

J. Cosmol. Astropart. Phys.

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In this paper we revisit the motivation and construction of a unified theory of gravity and electromagnetism, following Weyl's insights regarding the appealing potential connection between the gauge invariance of electromagnetism and the conformal invariance of the gravitational field.We highlight that changing the local symmetry group of spacetime permits to construct a theory in which these two symmetries are combined into a putative gauge symmetry but with secondorder field equations and non-trivial mass scales, unlike the original higher-order construction by Weyl. We prove that the gravitational field equations are equivalent to the (trace-free) Einstein field equations, ensuring their compatibility with known tests of general relativity. As a corollary, the effective cosmological constant is rendered radiatively stable due to Weyl invariance. A novel phenomenological consequence characteristic of this construction, potentially relevant for cosmological observations, is the existence of an energy scale below which effects associated with the non-integrability of spacetime distances, and an effective mass for the electromagnetic field, appear simultaneously (as dual manifestations of the use of Weyl connections). We explain how former criticisms against Weyl's ideas lose most of their power in its present reincarnation, which we refer to as Weyl relativity, as it represents a Weyl-invariant, unified description of both the Einstein and Maxwell field equations.

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Unimodular relativity and cosmological constant

Cited by 113 publications

References 11 publications

Emergent gravity paradigm: Recent progress

Emergent gravity paradigm: Recent progress

The Renormalization Group flow of unimodular f(R) gravity

Weyl relativity: a novel approach to Weyl's ideas

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