scholarly journals Gravitational waves in higher order teleparallel gravity

2020 ◽  
Vol 37 (23) ◽  
pp. 235013 ◽  
Author(s):  
Salvatore Capozziello ◽  
Maurizio Capriolo ◽  
Loredana Caso
1972 ◽  
Vol 48 (1) ◽  
pp. 333-334 ◽  
Author(s):  
Tatsuo Tokuoka

2020 ◽  
Vol 810 ◽  
pp. 135821 ◽  
Author(s):  
S. Capozziello ◽  
M. Capriolo ◽  
S. Nojiri

2010 ◽  
Vol 34 (4) ◽  
pp. 236-244 ◽  
Author(s):  
Charalampos Bogdanos ◽  
Salvatore Capozziello ◽  
Mariafelicia De Laurentis ◽  
Savvas Nesseris

2018 ◽  
Vol 98 (12) ◽  
Author(s):  
Manuel Hohmann ◽  
Martin Krššák ◽  
Christian Pfeifer ◽  
Ulbossyn Ualikhanova

2017 ◽  
Vol 95 (6) ◽  
Author(s):  
Teng Zhang ◽  
Stefan L. Danilishin ◽  
Sebastian Steinlechner ◽  
Bryan W. Barr ◽  
Angus S. Bell ◽  
...  

2016 ◽  
Vol 13 (10) ◽  
pp. 1650119
Author(s):  
S. Nayeh ◽  
A. Latifi ◽  
S. Arbabi Bidgoli ◽  
M. Ghominejad

The equations for gravitational plane waves produced by a typical binary system as a solution of linear approximation of Einstein equations are derived. The dynamics of the corresponding gravitational field is analyzed in a four-dimensional space-time manifold, endowed with a metric and taking into account torsion. In this context, the geometrical reason of the existence of torsion due to the presence of gravitational waves (GW) is highlighted and the geodesic deviation is obtained taking into account both curvature and torsion. In a laser interferometer gravitational detector, the delay time between the arrivals of the two laser beams traveling back and forth along the two arms in presence of gravitational waves is interpreted from this point of view. This delay is calculated for the NS–NS binary pulsar (1913 + 16) in two specific orientations with respect to the experimental device, corresponding to different polarizations of gravitational waves. In the specific case of this example, it is shown that the results obtained in the context of the standard general relativity (GR) and in the framework of teleparallel gravity are equivalent.


Author(s):  
Salvatore Capozziello ◽  
Maurizio Capriolo ◽  
Loredana Caso

Abstract We derive the gravitational waves for $$f\left( T, B\right) $$fT,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 two-helicity, massless tensor polarization modes, and an additional massive scalar mode with zero-helicity. 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.


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