The spectrum of symmetric teleparallel gravity

Conroy, Aindriú; Koivisto, Tomi S.

doi:10.1140/epjc/s10052-018-6410-z

Cited by 101 publications

(72 citation statements)

References 34 publications

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“…In particular, one may consider more general theories, for example derived from a general constitutive relation [39], possibly including also parity-odd terms, or coupling to scalar fields [40][41][42][43], up to Horndeski-like teleparallel theories [44,45]. Further, taking inspiration from the socalled trinity of gravity [1], one may consider extensions to the symmetric teleparallel equivalent of gravity [46], and apply the parameterized post-Newtonian formalism to generalized theories based on the symmetric teleparallel geometry [47][48][49][50][51]. Another possible extension would be studying the motion of compact objects at higher orders in the post-Newtonian expansion, in order to derive the emitted gravitational waves [52].…”

Section: Discussionmentioning

confidence: 99%

Parametrized post-Newtonian limit of general teleparallel gravity theories

Ualikhanova

Hohmann

2019

Phys. Rev. D

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We derive the post-Newtonian limit of a general class of teleparallel gravity theories, whose action is given by a free function of three scalar quantities obtained from the torsion of the teleparallel connection. This class of theories is chosen to be sufficiently generic in order to include the f (T ) class of theories as well as new general relativity as subclasses. To derive its post-Newtonian limit, we first impose the Weitzenböck gauge, and then introduce a post-Newtonian approximation of the tetrad field around a Minkowski background solution. Our results show that the class of theories we consider is fully conservative, with only the parameters β and γ potentially deviating from their general relativity values. In particular, we find that the post-Newtonian limit of any f (T ) theory is identical to that of general relativity, so that these theories cannot be distinguished by measurements of the post-Newtonian parameters alone.

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Section: Discussionmentioning

confidence: 99%

Parametrized post-Newtonian limit of general teleparallel gravity theories

Ualikhanova

Hohmann

2019

Phys. Rev. D

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“…One can compare these perturbations with those found in [22] around Minkowski space at the limit H → 0. In the following, we shall specialise to spatial perturbations around the background (2.4).…”

Section: Perturbed Non-metricitymentioning

confidence: 91%

Parity-violating gravity and GW170817 in non-Riemannian cosmology

Conroy

Koivisto

2019

J. Cosmol. Astropart. Phys.

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The cosmological propagation of tensor perturbations is studied in the context of parityviolating extensions of the symmetric teleparallel equivalent of General Relativity theory. This non-Riemannian formulation allows for a wider variety of consistent extensions than the metric formulation of gravity theory. It is found that while many of the possible quadratic terms do not influence the propagation of the gravitational waves, a generic modification predicts a signature that distinguishes the left-and right-handed circular polarizations. The parameters of such modifications can be constrained stringently because the propagation speed of the gravitational waves is scale-dependent and differs from the speed of light.

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“…More recently, some new results and important developments have been obtained. An exceptional class was discovered which is consistent with a vanishing affine connection [7]. Based on this remarkable property, a simpler geometrical formulation of GR was proposed.…”

Section: Introductionmentioning

confidence: 89%

“…This geometrically implies that vectors do remain parallel at long distances on a manifold [6]. By demanding that the curvature vanishes and that the connection is torsionless, the remaining gravitational information is encoded in nonmetricity contributions [4,[6][7][8][9].…”

Section: Introductionmentioning

confidence: 99%

Cosmology in symmetric teleparallel gravity and its dynamical system

2019

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We explore an extension of the symmetric teleparallel gravity denoted the f (Q) theory, by considering a function of the nonmetricity invariant Q as the gravitational Lagrangian. Some interesting properties could be found in the f (Q) theory by comparing with the f (R) and f (T ) theories. The field equations are derived in the f (Q) theory. The cosmological application is investigated. In this theory the accelerating expansion is an intrinsic property of the universe geometry without need of either exotic dark energy or extra fields. And the state equation of the geometrical dark energy can cross over the phantom divide line in the f (Q) theory. In addition, the dynamical system method are investigated. It is shown that there are five critical points in the STG model for taking f (Q) = Q + αQ 2 . The critical points P4 and P5 are stable. P4 corresponds to the geometrical dark energy dominated de Sitter universe (w ef f tot =-1), while P5 corresponds to the matter dominated universe (w ef f tot =0). Given that P4 represents an attractor, the cosmological constant problems, such as the fine tuning problem, could be solved in the STG model.

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The spectrum of symmetric teleparallel gravity

Cited by 101 publications

References 34 publications

Parametrized post-Newtonian limit of general teleparallel gravity theories

Parametrized post-Newtonian limit of general teleparallel gravity theories

Parity-violating gravity and GW170817 in non-Riemannian cosmology

Cosmology in symmetric teleparallel gravity and its dynamical system

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