Energy Contents of Gravitational Waves in Teleparallel Gravity

Abstract

The conserved quantities, that are, gravitational energy-momentum and its relevant quantities are investigated for cylindrical and spherical gravitational waves in the framework of teleparallel equivalent of General Relativity using the Hamiltonian approach. For both cylindrical and spherical gravitational waves, we obtain definite energy and constant momentum. The constant momentum shows consistency with the results available in General Relativity and teleparallel gravity. The angular momentum for cylindrical and spherical gravitational waves also turn out to be constant. Further, we evaluate their gravitational energy-momentum fluxes and gravitational pressure.

Cosmic acceleration and phantom crossing in f(T)-gravity

“…It employs the Weitzenböck spacetime which is characterized by the metricity condition and vanishing of the curvature tensor. The approach contains a variety of distinctive manifestation both from physical and geometrical aspects (Hoff da Silva and da Rocha 2010; Hayashi and Shirafuji 1979;Fiorini 2007, 2008;Ulhoa et al 2010;Nashed 2010;Sharif and Taj 2010;Lucas et al 2009;Poplawski 2010, Wu and Yu 2010a, 2010bAo et al 2010;Bengochea andFerraro 2009, 2011;Yang and Zhang 2010).…”

Teleparallel energy-momentum distribution of locally rotationally symmetric spacetimes

“…Sharif and his collaborators [39][40][41] found that the results for the energy exactly coincided with several prescriptions in GR. Interestingly, our results exactly coincide with different energy-momentum prescriptions in GR.…”

“…Vargas [28] found that the total energy of the closed Friedmann-Robertson-Walker model was zero by using the TP version of Einstein and Landau-Lifshitz complexes which agreed with the results of GR [31]. Sharif and his collaborators [24], [33][34][35][36][37][38][39][40][41] used different prescriptions to determine the energy-momentum distributions for various spacetimes and found that the results of TPG and GR were not consistent. Recently, Amir and his collaborators [42] evaluated the energy-momentum distribution of non-static plane-symmetric spacetimes by using different prescriptions in the context of TPG and GR and showed that the results for the Einstein, Landau-Lifshitz, Bergmann-Thomson prescriptions are the same in both the theories but are different form those obtained when using the Möller prescription.…”

Absolute Parallelism in The Bainchi-Type IX Taub Solution

“…Making use of the 5 Banados-Teitelboim-Zanelli (BTZ) black hole and the Hamilton approach of three 6 dimensional absolute parallelism, total angular momentum distribution associated with the 7 spacetime model is found (Sousa and Pareira, 2006). Recently, many scientist have 8 interested in this interesting approach to discuss the four-momentum localization problem 9 in various space-time models (Nashed, 2008(Nashed, , 2010Sousas et al, 2010;Maluf and Ulhoa, 10 2009;Sharif and Taj, 2010;Ulhoa and Rocha, 2013;Maluf, 2013;Saltı and Açikgöz, 11 2013;Rocha Neto and Maluf, 2014). 12…”

“…Recently, 8 interested in this interesting approach to discuss the four-momentum 9 in various space-time models (Nashed, 2008(Nashed, , 2010Sousas et al, 20 10 2009;Sharif and Taj, 2010;Ulhoa and Rocha, 2013;Maluf, 201 11 2013;Rocha Neto and Maluf, 2014). 12…”