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

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Publicado: 2018
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_24700010_v98_n12_p_Ferraro
http://hdl.handle.net/20.500.12110/paper_24700010_v98_n12_p_Ferraro
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
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spelling paper:paper_24700010_v98_n12_p_Ferraro2023-06-08T16:36:40Z Quest for the extra degree of freedom in f (T) 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 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. © 2018 American Physical Society. 2018 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_24700010_v98_n12_p_Ferraro http://hdl.handle.net/20.500.12110/paper_24700010_v98_n12_p_Ferraro
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
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. © 2018 American Physical Society.
title Quest for the extra degree of freedom in f (T) gravity
spellingShingle Quest for the extra degree of freedom in f (T) gravity
title_short Quest for the extra degree of freedom in f (T) gravity
title_full Quest for the extra degree of freedom in f (T) gravity
title_fullStr Quest for the extra degree of freedom in f (T) gravity
title_full_unstemmed Quest for the extra degree of freedom in f (T) gravity
title_sort quest for the extra degree of freedom in f (t) gravity
publishDate 2018
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_24700010_v98_n12_p_Ferraro
http://hdl.handle.net/20.500.12110/paper_24700010_v98_n12_p_Ferraro
_version_ 1768546045009068032

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