Slow-roll inflation in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e758" altimg="si360.svg"><mml:mrow><mml:mi>f</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mi>R</mml:mi><mml:mo>,</mml:mo><mml:mi>T</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:math> gravity and a modified Starobinsky-like inflationary model

Gamonal, Mauricio

doi:10.1016/j.dark.2020.100768

Cited by 54 publications

(19 citation statements)

References 64 publications

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“…Subsequently, Mauricio showed that in case of monomial power law potentials, no corrections due to f(R,T) have been induced where as in Natural and Hilltop potential, one of the parameter is trivially modified. Further, they showed that Starobinsky model in f(R,T) predicts consistent result with the observational data [14].…”

Section: Introductionsupporting

confidence: 62%

“…Inflation has been the most accepted theory for describing the primordial universe. In recent work, inflation has been studied in the frame work of f(R,T) gravity with different potentials like quadratic potential, natural, hilltop potential and Starobinsky potential [13] [14]. Now, the functional form of f(R,T) is arbitrary and model parameters can be included for fine tuning to fit the observational data.…”

Section: Discussionmentioning

confidence: 99%

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Inflation in f(R,T) gravity with Double-Well potential

Deb,

Deshamukhya

2022

Preprint

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In this piece of work, we studied the inflation in the context of f(R,T) theory of gravity. We assumed the functional form of f(R,T) to be R + λT , where R is the Ricci scalar, T is the trace of the Energy-Momentum tensor and λ is the model parameter. The cosmological observable parameters like scalar spectral index ns and tensor-to-scalar ratio r are estimated for Double-Well potential. We found that for λ = 115, ns and r are in good agreement with PLANCK 2018 data. Further, considering the vacuum expectation value in Double-Well potential to be Planckian, we observed the admissible range of model parameter to be 101 < λ < 130 for which this model remains consistent with PLANCK 2018 data.

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Section: Introductionsupporting

confidence: 62%

Section: Discussionmentioning

confidence: 99%

Inflation in f(R,T) gravity with Double-Well potential

Deb,

Deshamukhya

2022

Preprint

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“…Other more recent studies on cosmological applications of f (R, T ) gravity (including in the inflationary scenario) can be found in Refs. [10][11][12][13][14][15][16]. To the best of our knowledge, none of them have presented so strong constraints on the amplitude of the modification as the present work.…”

Section: Introductionmentioning

confidence: 98%

Neutron stars in $f(R,T)$ gravity with conserved energy-momentum tensor: Hydrostatic equilibrium and asteroseismology

Pretel,

Jorás,

Reis

et al. 2021

Preprint

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We investigate the equilibrium and radial stability of spherically symmetric relativistic stars, considering a polytropic equation of state (EoS), within the framework of f (R, T ) gravity with a conservative energy-momentum tensor. Both modified stellar structure equations and Chandrasekhar's pulsation equations are derived for the f (R, T ) = R + h(T ) gravity model, where the function h(T ) assumes a specific form in order to safeguard the conservation equation for the energy-momentum tensor. The neutron star properties, such as radius, mass, binding energy and oscillation spectrum are studied in detail. Our results show that a cusp -which signals the appearance of instability -is formed when the binding energy is plotted as a function of the compact star proper mass. We find that the squared frequency of the fundamental vibration mode passes through zero at the central-density value corresponding to such a cusp where the binding energy is a minimum.

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“…In fact, it has been shown in Ref. [33] that even if one considers the function f (R, T ) a linearly additive function of R and T , i.e., a minimally coupled T , the chaotic and natural inflationary models are still disfavored by observations (see also Refs. [34,35]).…”

Section: Introductionmentioning

confidence: 99%

Slow-roll inflation in $f(R,T)$ gravity with a $RT$ mixing term

Chen¹,

Reyimuaji²,

Zhang³

2022

Preprint

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We consider slow-roll inflationary models in a class of modified theories of gravity which contains non-minimal curvature-inflaton couplings, i.e., the f (R, T ) gravity, where R is the Ricci scalar and T is the trace of the inflaton energy-momentum tensor. On top of the minimally coupled T that has been widely investigated in the literature, we further include a RT mixing term in the theory. This mixing term introduces non-minimal derivative couplings and plays an important role in inflationary dynamics. Taking chaotic and natural inflation as examples, we find that the predictions for spectral tilt and the tensor-to-scalar ratio are sensitive to the existence of the RT mixing term. In particular, by turning on this mixing term, it is possible to bring chaotic and natural inflation into better agreement with observational data.

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Slow-roll inflation in f(R,T) gravity and a modified Starobinsky-like inflationary model

Cited by 54 publications

References 64 publications

Inflation in f(R,T) gravity with Double-Well potential

Inflation in f(R,T) gravity with Double-Well potential

Neutron stars in $f(R,T)$ gravity with conserved energy-momentum tensor: Hydrostatic equilibrium and asteroseismology

Slow-roll inflation in $f(R,T)$ gravity with a $RT$ mixing term

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