Weak field limit and gravitational waves in f(T, B) teleparallel gravity
Abstract
We derive the gravitational waves for f ("T,B") gravity which is an extension of teleparallel gravity and demonstrate that it is equivalent to f(R) gravity by linearized the field equations in the weak field limit approximation. f(T, B) gravity shows three polarizations: the two standard of general relativity, plus and cross, which are purely transverse with twohelicity, massless tensor polarization modes, and an additional massive scalar mode with zerohelicity. The last one is a mix of longitudinal and transverse breathing scalar polarization modes. The boundary term B excites the extra scalar polarization and the mass of scalar field breaks the symmetry of the TT gauge by adding a new degree of freedom, namely a single mixed scalar polarization.
 Publication:

European Physical Journal C
 Pub Date:
 February 2020
 DOI:
 10.1140/epjc/s1005202077379
 arXiv:
 arXiv:1912.12469
 Bibcode:
 2020EPJC...80..156C
 Keywords:

 General Relativity and Quantum Cosmology;
 Astrophysics  High Energy Astrophysical Phenomena;
 High Energy Physics  Theory
 EPrint:
 14 pages, accepted for publication in Eur. Phys. J. C