Quest for the extra degree of freedom in ƒ <i>(T)</i> gravity

It has recently been shown that f(T) gravity has n(n−3)/2+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 f(R) gravity, a theory that can be underst...

Descripción completa

Detalles Bibliográficos
Autores principales: Ferraro, Rafael, Guzmán Monsalve, María José
Formato: Articulo
Lenguaje:Inglés
Publicado: 2018
Materias:
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/99672
https://ri.conicet.gov.ar/11336/86943
Aporte de:
id I19-R120-10915-99672
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Física
Teleparallel gravity
F(t) gravity
Scalar field
spellingShingle Física
Teleparallel gravity
F(t) gravity
Scalar field
Ferraro, Rafael
Guzmán Monsalve, María José
Quest for the extra degree of freedom in ƒ <i>(T)</i> gravity
topic_facet Física
Teleparallel gravity
F(t) gravity
Scalar field
description It has recently been shown that f(T) gravity has n(n−3)/2+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 f(R) 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 f(T) 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 f(T) 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 f(T) 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 f(T) gravity. Finally we show some mathematical tools to implement the Hamiltonian formulation in the Einstein frame of f(T) gravity, which exhibits some problems that should be addressed in future works.
format Articulo
Articulo
author Ferraro, Rafael
Guzmán Monsalve, María José
author_facet Ferraro, Rafael
Guzmán Monsalve, María José
author_sort Ferraro, Rafael
title Quest for the extra degree of freedom in ƒ <i>(T)</i> gravity
title_short Quest for the extra degree of freedom in ƒ <i>(T)</i> gravity
title_full Quest for the extra degree of freedom in ƒ <i>(T)</i> gravity
title_fullStr Quest for the extra degree of freedom in ƒ <i>(T)</i> gravity
title_full_unstemmed Quest for the extra degree of freedom in ƒ <i>(T)</i> gravity
title_sort quest for the extra degree of freedom in ƒ <i>(t)</i> gravity
publishDate 2018
url http://sedici.unlp.edu.ar/handle/10915/99672
https://ri.conicet.gov.ar/11336/86943
work_keys_str_mv AT ferrarorafael questfortheextradegreeoffreedominƒitigravity
AT guzmanmonsalvemariajose questfortheextradegreeoffreedominƒitigravity
bdutipo_str Repositorios
_version_ 1764820493561495554