Premetric teleparallel theory of gravity and its local and linear constitutive law

Itin, Yakov; Obukhov, Yuri N.; Boos, Jens; Hehl, Friedrich W.

doi:10.1140/epjc/s10052-018-6344-5

Cited by 31 publications

(37 citation statements)

References 67 publications

(201 reference statements)

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“…is a Lorentz-valued (spin) connection that represents the inertial effects present in the Lorentz-rotated frame h a µ . In special relativity, therefore, similarly to all other relativistic theories, the inertial spin connection (13) shows up naturally when moving through different classes of Lorentz frames. The geometrical structure in charge of describing those kinematic effects is the frame bundle, which like the inertial spin connection, has nothing to do with gravitation.…”

Section: Spin Connection In Special Relativitymentioning

confidence: 94%

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Gauge Structure of Teleparallel Gravity

Pereira

Obukhov

2019

Universe

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During the conference Teleparallel Universes in Salamanca, we became aware of a recent paper [M. Fontanini, E. Huguet, and M. Le Delliou, Phys. Rev. D 2019, 99, 064006] in which some criticisms on the interpretation of teleparallel gravity as a gauge theory for the translation group were put forward. This triggered a discussion about the arguments on which those criticisms were based, whose output is described in the present paper. The main conclusion is that, to a great extent, those arguments are incorrect, and lack mathematical and physical support. 1 For practical purposes, we use the same notations of Ref. [1]

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Section: Spin Connection In Special Relativitymentioning

confidence: 94%

“…Most straightforwardly, the dynamics of teleparallel gravity can be obtained in the framework of the premetric approach. Technically, this amounts to the construction of the Yang-Mills type Lagrangian [13]…”

Section: The Gauge-theoretic Bundle Framework Of Teleparallel Gravitymentioning

confidence: 99%

Gauge Structure of Teleparallel Gravity

Pereira

Obukhov

2019

Universe

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“…This object is nothing more than a constitutive tensor, that is the object that relates the excitation field and the field strength of any physical theory [67,68]. This result can be derived alternatively by writing both T ρ μν and S ρ μν in the premetric formalism.…”

Section: The Premetric Formulation Of Tegrmentioning

confidence: 99%

Quest for the extra degree of freedom in f(T) gravity

Ferraro

Guzmán

2018

Phys. Rev. D

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It has recently been shown that fðTÞ gravity has nðn−3Þ 2 þ 1 physical degrees of freedom (d.o.f.) in n dimensions, contrary to previous claims. The simplest physical interpretation of this fact is that the theory possesses a scalar d.o.f. This is the case of fðRÞ gravity, a theory that can be understood in the Einstein frame as general relativity plus a scalaron. The scalar field that represents the extra d.o.f. in fðTÞ gravity encodes information about the parallelization of the spacetime, which is detected through a reinterpretation of the equations of motion in both the teleparallel Jordan and Einstein frames. The trace of the equations of motion in fðTÞ gravity shows the propagation of the scalar d.o.f., giving an accurate proof of its existence. We also provide a simple toy model of a physical system with rotational pseudoinvariance, like fðTÞ gravity, which gives insights into the physical interpretation of the extra d.o.f. We discuss some implications and unusual features of the previously worked out Hamiltonian formalism for fðTÞ gravity. Finally we show some mathematical tools to implement the Hamiltonian formulation in the Einstein frame of fðTÞ gravity, which exhibits some problems that should be addressed in future works.

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“…Refs. [81,82]. In connection with nonlocal GR || , various theoretical aspects of parity violating term (86) have been explored in Ref.…”

Section: Discussionmentioning

confidence: 99%

Toward Nonlocal Electrodynamics of Accelerated Systems

Mashhoon

2020

Universe

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We revisit acceleration-induced nonlocal electrodynamics and the phenomenon of photon spin-rotation coupling. The kernel of the theory for the electromagnetic field tensor involves parity violation under the assumption of linearity of the field kernel in the acceleration tensor. However, we show that parity conservation can be maintained by extending the field kernel to include quadratic terms in the acceleration tensor. The field kernel must vanish in the absence of acceleration; otherwise, a general dependence of the kernel on the acceleration tensor cannot be theoretically excluded. The physical implications of the quadratic kernel are briefly discussed.

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Premetric teleparallel theory of gravity and its local and linear constitutive law

Cited by 31 publications

References 67 publications

Gauge Structure of Teleparallel Gravity

Gauge Structure of Teleparallel Gravity

Quest for the extra degree of freedom in f(T) gravity

Toward Nonlocal Electrodynamics of Accelerated Systems

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