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Related papers: Conformal Frame Dependence of Inflation

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We investigate the inflationary attractors in models of inflation inspired from general conformal transformation of general scalar-tensor theories to the Einstein frame. The coefficient of the conformal transformation in our study depends…

General Relativity and Quantum Cosmology · Physics 2019-07-31 Khamphee Karwan , Phongpichit Channuie

In this paper, we study inflation in the framework of the nonrelativistic general covariant theory of the Ho\v{r}ava-Lifshitz gravity with the projectability condition and an arbitrary coupling constant $\lambda$. We find that the…

General Relativity and Quantum Cosmology · Physics 2015-06-03 Yongqing Huang , Anzhong Wang , Qiang Wu

It is proposed that if quantum states of space-time are coherent on null surfaces, holographic Planck-scale fluctuations of inflationary horizons dominate the formation of primordial scalar curvature perturbations. It is shown that the…

Cosmology and Nongalactic Astrophysics · Physics 2020-06-17 Craig Hogan

Light vector fields during inflation obtain a superhorizon perturbation spectrum when their conformal invariance is appropriately broken. Such perturbations, by means of some suitable mechanism (e.g. the vector curvaton mechanism), can…

High Energy Physics - Phenomenology · Physics 2015-06-16 Juan C. Bueno Sanchez , Konstantinos Dimopoulos

Scalar field with non-minimal coupling to curvature scalar is studied in Robertson-Walker background. The infrared limit of two point function, and, in turn, of the energy-momentum tensor of scalar field have been considered in the power…

General Relativity and Quantum Cosmology · Physics 2020-07-16 Amit Kundu , Prasenjit Paul

Affine gravity, a gravity theory based on affine connection with no notion of metric, supports scalar field dynamics only if scalar fields have non-vanishing potential. The non-vanishing vacuum energy ensures that the cosmological constant…

General Relativity and Quantum Cosmology · Physics 2018-03-19 Hemza Azri , Durmus Demir

We investigate the scalar sector of linear cosmological perturbations in quadratic gravity. Working in the Einstein frame, we derive the equations of motion in a gauge-independent manner and express them in terms of three sets of…

General Relativity and Quantum Cosmology · Physics 2026-05-26 Adrian Palomares , Ying-li Zhang , Jinsu Kim

Scalar and tensor cosmological perturbations during an inflationary universe scenario in the context of the a generalized gravity theory are studied. This analyze is carried out considering an ansatz on the variables associated to scalar…

General Relativity and Quantum Cosmology · Physics 2020-04-22 José Antonio Belinchón , Carlos González , Ramón Herrera

We consider the Gauss-Bonnet term coupled to the inflaton in the Palatini formulation of gravity. Unlike in the metric formulation, the Gauss-Bonnet term is not always a total derivative. We solve for the connection and insert it into the…

Cosmology and Nongalactic Astrophysics · Physics 2026-05-27 Ali Hassan , Syksy Rasanen

The scalar-tensor theory can be formulated in both Jordan and Einstein frames, which are conformally related together with a redefinition of the scalar field. As the solution to the equation of the scalar field in the Jordan frame does not…

General Relativity and Quantum Cosmology · Physics 2020-05-07 Chao-Qiang Geng , Hao-Jui Kuan , Ling-Wei Luo

We show, considering a specific f(R)-gravity model, that the Jordan frame and the Einstein frame are physically non-equivalent, although they are connected by a conformal transformation which yields a mathematical equivalence. Since all the…

General Relativity and Quantum Cosmology · Physics 2010-05-25 S. Capozziello , P. Martin-Moruno , C. Rubano

The $f(R)$ gravity models formulated in Einstein conformal frame are equivalent to Einstein gravity together with a minimally coupled scalar field. We shall explore phantom behavior of $f(R)$ models in this frame and compare the results…

General Relativity and Quantum Cosmology · Physics 2014-11-21 Yousef Bisabr

The linear and quadratic perturbations for a scalar-tensor model with non-minimal coupling to curvature, coupling to the Gauss-Bonnet invariant and non-minimal kinetic coupling to the Einstein tensor are developed. The quadratic action for…

General Relativity and Quantum Cosmology · Physics 2019-09-24 L. N. Granda , D. F. Jimenez

Curvatons are light (compared to the Hubble scale during inflation) spectator fields during inflation that potentially contribute to adiabatic curvature perturbations post-inflation. They can alter CMB observables such as the spectral index…

Cosmology and Nongalactic Astrophysics · Physics 2023-06-26 Jackie Lodman , Qianshu Lu , Lisa Randall

Palatini variation of Jordan frame lagrangians gives an equation relating the dilaton to the object of non-metricity and hence the existence of the dilaton implies that the spacetime connection is more general than that given soley by the…

General Relativity and Quantum Cosmology · Physics 2007-06-28 Mark D. Roberts

It is well-known that $f(R)$ gravity models formulated in Einstein conformal frame are equivalent to Einstein gravity together with a minimally coupled scalar field. In this case, the scalar field couples with the matter sector and the…

General Relativity and Quantum Cosmology · Physics 2015-05-30 Yousef Bisabr

We have explicitly demonstrated that scalar coupled Gauss-Bonnet gravity in four dimension can have non-trivial effects on the early inflationary stage of our universe. In particular, we have shown that the scalar coupled Gauss-Bonnet term…

General Relativity and Quantum Cosmology · Physics 2018-11-13 Sumanta Chakraborty , Tanmoy Paul , Soumitra SenGupta

We present a class of inflationary potentials which are invariant under a special symmetry, which depends on the parameters of the models. As we show, in certain limiting cases, the inverse symmetric potentials are qualitatively similar to…

General Relativity and Quantum Cosmology · Physics 2017-11-09 S. D. Odintsov , V. K. Oikonomou

The response of a gravitational wave detector to scalar waves is analysed in the framework of the debate on the choice of conformal frames for scalar-tensor theories. A correction to the geodesic equation arising in the Einstein conformal…

High Energy Physics - Theory · Physics 2009-11-07 S. Bellucci , V. Faraoni , D. Babusci

The $f(R)$ gravity models formulated in Einstein conformal frame are equivalent to Einstein gravity together with a minimally coupled scalar field. The scalar field couples with the matter sector and the coupling term is given by the…

General Relativity and Quantum Cosmology · Physics 2012-07-24 Yousef Bisabr