New static solutions in f(T) theory

MH Daouda, ME Rodrigues, MJS Houndjo - The European Physical …, 2011 - Springer
We consider the equations of motion of an anisotropic space-time in f (T) theory, where T is
the torsion. New spherically symmetric solutions of black holes and wormholes are obtained …

Energy-momentum complex in higher order curvature-based local gravity

S Capozziello, M Capriolo, G Lambiase - Particles, 2022 - mdpi.com
An unambiguous definition of gravitational energy remains one of the unresolved issues of
physics today. This problem is related to the non-localization of gravitational energy density …

The gravitation energy–momentum pseudotensor: The cases of and gravity

S Capozziello, M Capriolo… - International Journal of …, 2018 - World Scientific
We derive the gravitational energy–momentum pseudotensor τ λ σ in metric f (R) gravity and
in teleparallel f (T) gravity. In the first case, R is the Ricci curvature scalar for a torsionless …

Reissner–Nordström solutions and energy in teleparallel theory

GGL Nashed - Modern Physics Letters A, 2006 - World Scientific
We give three different spherically symmetric spacetimes for the coupled gravitational and
electromagnetic fields with charged source in the tetrad theory of gravitation. One of these …

Energy and momentum in the tetrad theory of gravitation

T Shirafuji, GGL Nashed - Progress of Theoretical Physics, 1997 - academic.oup.com
We study the energy and momentum of an isolated system in the tetrad theory of gravitation,
starting from the most general Lagrangian quadratic in torsion, which involves four unknown …

Reissner–Nordström space–time in the tetrad theory of gravitation

GGL Nashed, T Shirafuji - International Journal of Modern Physics …, 2007 - World Scientific
We give two classes of spherically symmetric exact solutions of the coupled gravitational
and electromagnetic fields with charged source in the tetrad theory of gravitation. The first …

Conserved currents and superpotentials in teleparallel equivalent of GR

ED Emtsova, AN Petrov… - Classical and Quantum …, 2020 - iopscience.iop.org
We study the teleparallel equivalent of general relativity (TEGR) with Lagrangian that
includes the flat (inertial) spin connection and that is evidently invariant with respect to local …

The energy–momentum complex in non-local gravity

S Capozziello, M Capriolo… - International Journal of …, 2023 - World Scientific
In General Relativity, the issue of defining the gravitational energy contained in a given
spatial region is still unresolved, except for particular cases of localized objects where the …

Equivalence principle in the new general relativity

T Shirafuji, GGL Nashed… - Progress of Theoretical …, 1996 - academic.oup.com
We study the problem of whether the active gravitational mass of an isolated system is equal
to the total energy in the tetrad theory of gravitation. The superpotential is derived using the …

General spherically symmetric nonsingular black hole solutions in a teleparallel theory of gravitation

GGL Nashed - Physical Review D, 2002 - APS
I find the most general spherically symmetric nonsingular black hole solution in a special
class of teleparallel theory of gravitation. If r is large enough, the general solution coincides …