Coincident general relativity

By Jose Beltrán Jiménez, Lavinia Heisenberg, Tomi Koivisto. Physical Review D, 2017

505 citations recorded by the source corpus.

The Palatini's device is applied to generate teleparallel and symmetric teleparallel theories of gravity. From the latter is discovered an exceptional class which is consistent with a vanishing affine connection. Based on this remarkable property, this Letter proposes a simpler geometrical formulation of General Relativity that is oblivious to the affine spacetime structure, thus fundamentally depriving gravity from any inertial character. The resulting theory is described by the Einstein-Hilbert action purged from the boundary term and is more robustly underpinned by the spin-2 field theory. This construction also provides a novel starting point for modified gravity theories, and the Letter presents new and simple generalisations where analytical self-accelerating cosmological solutions arise naturally in the early and late time universe.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/f19af62e32cbd9606235a55363b0af99f53335a0

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Astronomy and Astrophysics

In Nuclear and High Energy Physics

Citations in the corpus

Cosmological solutions and growth index of matter perturbations in f(Q) gravity (2021, methodology): “[5] Jose Beltrán Jiménez, Lavinia Heisenberg, and Tomi Koivisto, “Coincident General Relativity,” Phys.”
Teleparallel theories of gravity: illuminating a fully invariant approach (2018, background): “Within this framework it is possible to formulate the symmetric teleparallel equivalent of general relativity [145–149], which can be understood also as a gauge theory for translations [150, 151], and construct new modified gravity models [95, 152–155].”
Modified Gravity and Cosmology (2021, background): “The torsional framework opens the way to many novel theories of gravity, by using higher-order torsion invariants [29], boundary terms [30], scalar-torsion constructions, teleparallel Horndeski, symmetric teleparallel theories [31], etc.”
Nonmetricity formulation of general relativity and its scalar-tensor extension (2018, methodology): “If one demands curvature and torsion to vanish, then there exists a particular coordinate system where all symmetric teleparallel connection coefficients vanish [39, 40], a configuration called coincident gauge [15].”
Cosmological perturbations in modified teleparallel gravity models (2018, background): “ults of [43], and the problem we raise here due to 2) is the ambiguity of the propagating degrees of freedom in modiﬁed teleparallel gravity models. Let us mention that in the theory of Coincident GR [25] and its symmetric teleparallel modiﬁcations, such ambiguities may not exist, since this framewo”
The Geometrical Trinity of Gravity (2019, background): “This seemingly innocent form of the connection hides however an outstanding property of the non-metricity representation of GR, namely: the connection can be trivialised by a coordinate transformation [7].”