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- W2896944002 abstract "It has recently been shown that $f(T)$ gravity has $frac{n(n-3)}{2}+1$ 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." @default.
- W2896944002 created "2018-10-26" @default.
- W2896944002 creator A5037197561 @default.
- W2896944002 creator A5090296908 @default.
- W2896944002 date "2018-12-27" @default.
- W2896944002 modified "2023-10-09" @default.
- W2896944002 title "Quest for the extra degree of freedom in <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mi>f</mml:mi><mml:mo stretchy=false>(</mml:mo><mml:mi>T</mml:mi><mml:mo stretchy=false>)</mml:mo></mml:math> gravity" @default.
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- W2896944002 doi "https://doi.org/10.1103/physrevd.98.124037" @default.
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