Inflation with Scalar-Tensor Theory of Gravity

Saha, Dalia; Sanyal, Susmita; Sanyal, Abhik Kumar

doi:10.3390/sym12081267

Cited by 4 publications

(6 citation statements)

References 74 publications

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“…Of course, slow-roll inflation with quartic potential may be studied, but in more involved theories of gravity, e.g. in non-minimally coupled scalar-tensor theories [109][110][111] or in higher-order theories [112][113][114], in which an effective potential with a flat section comes into play. It is important to mention that F(T ) theories have also given rise to some disputes about an intriguing and essential feature: the action of the theory is not invariant under…”

Section: Discussionmentioning

confidence: 99%

Inflation with F(T) teleparallel gravity

Chakrabortty

Sk²,

Sanyal

et al. 2021

Eur. Phys. J. Plus

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We study early universe with a particular form of F(T) teleparallel gravity theory, in which inflation is driven by a scalar field. To ensure slow rollover, two different potentials are chosen in a manner, such that they remain almost flat for large initial value of the scalar field. Inflationary parameters show wonderful fit with the presently available Planck's data set. The energy scale of inflation is sub-Planckian, and graceful exit from inflation is also administered. The chosen form of F(T) administers late-time cosmic acceleration too. In the process, unification of the early inflation with late-time acceleration is ensured. Unfortunately, a decelerated radiation-dominated era is only possible with a different form of (quartic) potential, which being devoid of a flat section does not admit slow rollover.

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Section: Discussionmentioning

confidence: 99%

Inflation with F(T) teleparallel gravity

Chakrabortty

Sk²,

Sanyal

et al. 2021

Eur. Phys. J. Plus

Self Cite

View full text Add to dashboard Cite

show abstract

“…Of-course, slow roll inflation with quartic potential may be studied, but in more involved theories of gravity, e.g. in non-minimally coupled scalar-tensor theories [109][110][111] or in higher order theories [112][113][114], in which an effective potential with a flat section comes into play. It is important to mention that F (T ) theories have also given rise to some disputes about an intriguing and essential feature: for example, the action of the theory is not invariant under local Lorentz transformations of the tetrad [40,52,74,75], and also it suffers from the unresolved pathology of 'Branched Hamiltonian' that we shall discuss in future.…”

Section: Discussionmentioning

confidence: 99%

Inflation with F(T) Teleparallel Gravity

Chakrabortty,

Sk,

Sanyal

et al. 2021

Preprint

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We study early universe with a particular form of F(T) Telleparallel gravity theory, in which inflation is driven by a scalar field. To ensure slow rollover, two different potentials are chosen in a manner, such that they remain almost flat for large initial value of the scalar field. Inflationary parameters show wonderful fit with the presently available Planck's data set. The energy scale of inflation is sub-Planckian and graceful exit from inflation is also administered. The chosen form of F(T) administers late-time cosmic acceleration too. In the process, unification of the early inflation with late-time acceleration is ensured. Unfortunately, a decelerated radiation dominated era is only possible with a different form of (quartic) potential, which being devoid of a flat section does not admit slow rollover.

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“…We have seen that both the forms F(T) of generalized metric teleparallel gravity theory presented in (44) and (48) admit FLRW type radiation and early matter dominated eras, and can trigger accelerated expansion in the late stage of cosmological evolution. Further, both the forms are validated by energy conditions.…”

Section: Slow Roll Inflationmentioning

confidence: 97%

“…Study of the other three connections have been initiated recently [46,47]. More recently, it has been shown that all these three connections can also explain the cosmic evolutionary history, for a linear form of F(Q) = f 0 Q, without further modification [48].…”

Section: Symmetric Teleparallel F(q) Theory Of Gravitymentioning

confidence: 99%

Reconstructing Modified and Alternative Theories of Gravity

Saha,

Chakrabortty,

Sanyal

2023

Preprint

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A viable radiation dominated era in the early universe is best described by the standard (FLRW) model of cosmology. In this short review, we demonstrate reconstruction of the forms of F(R) in the modified theory of gravity, and the metric compatible F(T) together with the symmetric F(Q) in alternative teleparallel theories of gravity from different perspectives, primarily rendering emphasis on a viable FLRW radiation era. Inflation has also been studied for a particular choice of the scalar potential. The inflationary parameters are found to agree appreciably with the recently released observational data.

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Inflation with Scalar-Tensor Theory of Gravity

Cited by 4 publications

References 74 publications

Inflation with F(T) teleparallel gravity

Inflation with F(T) teleparallel gravity

Inflation with F(T) Teleparallel Gravity

Reconstructing Modified and Alternative Theories of Gravity

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