Built on

J. G. Pereira and Y. N. Obukhov, “Gauge Structure of Teleparallel Gravity,”
Original
1906
Earlier work this paper cites.
E. J. Copeland, M. Sami, and S. Tsujikawa, “Dynamics of dark energy,”
1936
Earlier work this paper cites.
S. Tsujikawa, “Quintessence: A Review,”
Original
1961
Earlier work this paper cites.
https://doi.org/10.15161/oar.it/1448441725.83 . MA.FYS.SKR.DAN.2 4(1963)
C. PELLEGRINI and J. PLEBANSKI, “Tetrad fields and gravitational fields.” · 1963
Earlier work this paper cites.
R. Ferraro and F. Fiorini, “On Born-Infeld Gravity in Weitzenbock spacetime,”
Original
1981
Earlier work this paper cites.
K. Hayashi and T. Shirafuji, “New General Relativity,”
1982
Earlier work this paper cites.
B. Aulbach, “Continuous and discrete dynamics near manifolds of equilibria,”
1984
Earlier work this paper cites.
M. Israelit and N. Rosen, “Einstein: Distant parallelism and electromagnetism,”
1985
Earlier work this paper cites.
C. Wetterich, “Cosmology and the Fate of Dilatation Symmetry,”
Original
1988
Earlier work this paper cites.
J. W. Maluf, “Hamiltonian formulation of the teleparallel description of general relativity,”
1994
Earlier work this paper cites.
T. Chiba, T. Okabe, and M. Yamaguchi, “Kinetically driven quintessence,”
2000
Earlier work this paper cites.
C. Armendariz-Picon, V. F. Mukhanov, and P. J. Steinhardt, “Essentials of k essence,”
2001
Earlier work this paper cites.
P. J. E. Peebles and B. Ratra, “The Cosmological Constant and Dark Energy,”
2003
Earlier work this paper cites.
H. I. Arcos and J. G. Pereira, “Torsion gravity: A Reappraisal,”
2004
Earlier work this paper cites.
M. Gonzalez-Espinoza and G. Otalora, “Generating primordial fluctuations from modified teleparallel gravity with local lorentz-symmetry breaking,”
Original
2005
Earlier work this paper cites.

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2022

Dynamical systems analysis in $f(T,\phi)$ gravity

Duchaniya, L. K., Kadam, S. A., Said, Jackson Levi et al.

Understand

Teleparallel based cosmological models provide a description of gravity in which torsion is the mediator of gravitation.

Several extensions have been made within the so-called Teleparallel equivalent of general relativity which is equivalent to general relativity at the level of the equations of motion where attempts are made to study the extensions of this form of gravity and to describe more general functions of the torsion scalar $T$.
One of these extensions is $f(T,\phi)$ gravity; $T$ and $\phi$ respectively denote the torsion scalar and scalar field.
In this work, the dynamical system analysis has been performed for this class of theories to obtain the cosmological behaviour of a number of models.

Built on

J. G. Pereira and Y. N. Obukhov, “Gauge Structure of Teleparallel Gravity,”
Original
1906
Earlier work this paper cites.
E. J. Copeland, M. Sami, and S. Tsujikawa, “Dynamics of dark energy,”
1936
Earlier work this paper cites.
S. Tsujikawa, “Quintessence: A Review,”
Original
1961
Earlier work this paper cites.
https://doi.org/10.15161/oar.it/1448441725.83 . MA.FYS.SKR.DAN.2 4(1963)
C. PELLEGRINI and J. PLEBANSKI, “Tetrad fields and gravitational fields.” · 1963
Earlier work this paper cites.
R. Ferraro and F. Fiorini, “On Born-Infeld Gravity in Weitzenbock spacetime,”
Original
1981
Earlier work this paper cites.
K. Hayashi and T. Shirafuji, “New General Relativity,”
1982
Earlier work this paper cites.
B. Aulbach, “Continuous and discrete dynamics near manifolds of equilibria,”
1984
Earlier work this paper cites.
M. Israelit and N. Rosen, “Einstein: Distant parallelism and electromagnetism,”
1985
Earlier work this paper cites.
C. Wetterich, “Cosmology and the Fate of Dilatation Symmetry,”
Original
1988
Earlier work this paper cites.
J. W. Maluf, “Hamiltonian formulation of the teleparallel description of general relativity,”
1994
Earlier work this paper cites.
T. Chiba, T. Okabe, and M. Yamaguchi, “Kinetically driven quintessence,”
2000
Earlier work this paper cites.
C. Armendariz-Picon, V. F. Mukhanov, and P. J. Steinhardt, “Essentials of k essence,”
2001
Earlier work this paper cites.
P. J. E. Peebles and B. Ratra, “The Cosmological Constant and Dark Energy,”
2003
Earlier work this paper cites.
H. I. Arcos and J. G. Pereira, “Torsion gravity: A Reappraisal,”
2004
Earlier work this paper cites.
M. Gonzalez-Espinoza and G. Otalora, “Generating primordial fluctuations from modified teleparallel gravity with local lorentz-symmetry breaking,”
Original
2005
Earlier work this paper cites.