Geometry and covariance of symmetric teleparallel theories of gravity

Standard

Geometry and covariance of symmetric teleparallel theories of gravity. / Blixt, Daniel; Golovnev, Alexey; Guzman, Maria-Jose; Максютов, Рамазан Ирекович.

In: Physical review D, Vol. 109, No. 4, 044061, 26.02.2024.

Research output: Contribution to journal › Article › peer-review

BibTeX

@article{fc47fbe8a904405c931498ecff6c1e0d,

title = "Geometry and covariance of symmetric teleparallel theories of gravity",

abstract = "We present the geometric foundations and derivations of equations of motion for symmetric teleparallel theories of gravity in the coincident gauge and covariant frameworks. We discuss the theoretical challenges introduced by the auxiliary fields responsible for the covariantization procedure. We elucidate a tetradic structure interpretation behind this covariant formulation. Regarding the effect of covariantization at the level of the equations of motion, we explicitly show that the only physical change, in case of setting an arbitrary energy-momentum tensor to the right-hand side, resides in the requirement of the fulfillment of the covariant conservation laws. Also, we have explicitly introduced the fundamental covariantly conserved teleparallel tetrad for the symmetric teleparallel frameworks.",

author = "Daniel Blixt and Alexey Golovnev and Maria-Jose Guzman and Максютов, {Рамазан Ирекович}",

year = "2024",

month = feb,

day = "26",

doi = "10.1103/PhysRevD.109.044061",

language = "English",

volume = "109",

journal = "Physical review D",

issn = "2470-0010",

publisher = "American Physical Society",

number = "4",

}

RIS

TY - JOUR

T1 - Geometry and covariance of symmetric teleparallel theories of gravity

AU - Blixt, Daniel

AU - Golovnev, Alexey

AU - Guzman, Maria-Jose

AU - Максютов, Рамазан Ирекович

PY - 2024/2/26

Y1 - 2024/2/26

N2 - We present the geometric foundations and derivations of equations of motion for symmetric teleparallel theories of gravity in the coincident gauge and covariant frameworks. We discuss the theoretical challenges introduced by the auxiliary fields responsible for the covariantization procedure. We elucidate a tetradic structure interpretation behind this covariant formulation. Regarding the effect of covariantization at the level of the equations of motion, we explicitly show that the only physical change, in case of setting an arbitrary energy-momentum tensor to the right-hand side, resides in the requirement of the fulfillment of the covariant conservation laws. Also, we have explicitly introduced the fundamental covariantly conserved teleparallel tetrad for the symmetric teleparallel frameworks.

AB - We present the geometric foundations and derivations of equations of motion for symmetric teleparallel theories of gravity in the coincident gauge and covariant frameworks. We discuss the theoretical challenges introduced by the auxiliary fields responsible for the covariantization procedure. We elucidate a tetradic structure interpretation behind this covariant formulation. Regarding the effect of covariantization at the level of the equations of motion, we explicitly show that the only physical change, in case of setting an arbitrary energy-momentum tensor to the right-hand side, resides in the requirement of the fulfillment of the covariant conservation laws. Also, we have explicitly introduced the fundamental covariantly conserved teleparallel tetrad for the symmetric teleparallel frameworks.

UR - https://www.mendeley.com/catalogue/ba7b4758-7558-3273-b6a5-88092b1025b9/

U2 - 10.1103/PhysRevD.109.044061

DO - 10.1103/PhysRevD.109.044061

M3 - Article

VL - 109

JO - Physical review D

JF - Physical review D

SN - 2470-0010

IS - 4

M1 - 044061

ER -

ID: 124006158