No further gravitational wave modes in $F(T)$ gravity

Diego S\'aez-G\'omez; Kazuharu Bamba; Mariafelicia De Laurentis; Salvatore Capozziello; Shin'ichi Nojiri

No further gravitational wave modes in F(T) gravity

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arxiv 1309.2698 v2 pith:YB76IKOH submitted 2013-09-11 gr-qc astro-ph.COhep-th

No further gravitational wave modes in F(T) gravity

Kazuharu Bamba , Salvatore Capozziello , Mariafelicia De Laurentis , Shin'ichi Nojiri , Diego S\'aez-G\'omez This is my paper

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keywords gravitygravitationalmodeswavefurtherlimitachievedanalysis

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We explore the possibility of further gravitational wave modes in $F(T)$ gravity, where $T$ is the torsion scalar in teleparallelism. It is explicitly demonstrated that gravitational wave modes in $F(T)$ gravity are equivalent to those in General Relativity. This result is achieved by calculating the Minkowskian limit for a class of analytic function of $F(T)$. This consequence is also confirmed by the preservative analysis around the flat background in the weak field limit with the scalar-tensor representation of $F(T)$ gravity.

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