Thermodynamics and cosmological reconstruction in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="mml38" display="inline" overflow="scroll" altimg="si38.gif"><mml:mi>f</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mi>T</mml:mi><mml:mo>,</mml:mo><mml:mi>B</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math>gravity

Bahamonde, Sebastián; Zubair, M.; Abbas, G.

doi:10.1016/j.dark.2017.12.005

Cited by 125 publications

(109 citation statements)

References 109 publications

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“…where α(r) is an arbitrary function of r. Using (38), this Noether symmetry yields the energy conservation relation E L = 0 if α(r) = 0. In the following, we will split the study for all the cases mentioned above.…”

Section: Noether Symmetry Approach and Exact Solutionsmentioning

confidence: 99%

“…In [25,37] the authors found that there is one extra gravitational polarization mode in this theory, as in f (R) gravity. It has been found that f (T, B) cosmology can explain dark energy without evoking a cosmological constant and also that this theory can describe a transition from a matter dominated era to two different accelerated eras, one of which describes a de Sitter universe [38][39][40].…”

Section: Introductionmentioning

confidence: 99%

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Exact Spherically Symmetric Solutions in Modified Teleparallel Gravity

Bahamonde

Camcı²

2019

Symmetry

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Finding spherically symmetric exact solutions in modified gravity is usually a difficult task. In this paper we use the Noether's symmetry approach for a modified Teleparallel theory of gravity labelled as f (T, B) gravity where T is the scalar torsion and B the boundary term. Using the Noether's theorem, we were able to find exact spherically symmetric solutions for different forms of the function f (T, B) coming from the Noether's symmetries.

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Section: Noether Symmetry Approach and Exact Solutionsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Exact Spherically Symmetric Solutions in Modified Teleparallel Gravity

Bahamonde

Camcı²

2019

Symmetry

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“…In fact, the ensuing field equations are unique in that, out of the three possible quantities involved, namely R, T , and B, f (T ) is the only Lagrangian that produces second order field equations [18,22].…”

Section: F (T ) Gravitymentioning

confidence: 99%

Galactic rotation dynamics in f(T) gravity

Finch

Said

2018

Eur. Phys. J. C

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We investigate galactic rotation curves in f (T ) gravity, where T represents a torsional quantity. Our study centers on the particular Lagrangian f (T ) = T +αT n , where |n| = 1 and α is a small unknown constant. To do this we treat galactic rotation curves as being composed from two distinct features of galaxies, namely the disk and the bulge. This process is carried out for several values of the index n. The resulting curve is then compared with Milky Way profile data to constrain the value of the index n while fitting for the parameter α. These values are then further tested on three other galaxies with different morphologies. On the galactic scale we find that f (T ) gravity departs from standard Newtonian theory in an important way. For a small range of values of n we find good agreement with data without the need for exotic matter components to be introduced.

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“…In all other cases, f (R) and f (T ) will not coincide in any meaningful way. Moreover, the ensuing field equations are unique in that, out of the three possible quantities involved, namely R, T , and B, f (T ) is the only Lagrangian that produces second order field equations [18,19]. Now, using the tetrad in Eq.…”

Section: F (T ) Gravity and Cosmologymentioning

confidence: 99%

Reconstruction from scalar–tensor theory and the inhomogeneous equation of state in f(T) gravity

Said

2017

Eur. Phys. J. C

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General relativity (GR) characterizes gravity as a geometric properly exhibited as curvature on spacetime. Teleparallelism describes gravity through torsional properties, and can reproduce GR at the level of equations. Similar to f (R) gravity, on taking a generalization, f (T ) gravity can produce various modifications its gravitational mechanism. The resulting field equations are inherently distinct to f (R) gravity in that they are second order. In the present work, f (T ) gravity is examined in the cosmological context with a number of solutions reconstructed by means of an auxiliary scalar field. To do this, various forms of the Hubble parameter are considered with an f (T ) Lagrangian emerging for each instance. In addition, the inhomogeneous equation of state (EoS) is investigated with a particular Hubble parameter model used to show how this can be used to reconstruct the f (T ) Lagrangian. Observationally, the auxiliary scalar field and the exotic terms in the FRW field equations give the same results, meaning that the variation in the Hubble parameter may be interpreted as the need to reformulate gravity in some way, as in f (T ) gravity.

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Thermodynamics and cosmological reconstruction inf(T,B)gravity

Cited by 125 publications

References 109 publications

Exact Spherically Symmetric Solutions in Modified Teleparallel Gravity

Exact Spherically Symmetric Solutions in Modified Teleparallel Gravity

Galactic rotation dynamics in f(T) gravity

Reconstruction from scalar–tensor theory and the inhomogeneous equation of state in f(T) gravity

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