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I discuss the relation between arbitrarily high-order theories of gravity and scalar-tensor gravity at the level of the field equations and the action. I show that $(2n+4)$-order gravity is dynamically equivalent to Brans-Dicke gravity with…

广义相对论与量子宇宙学 · 物理学 2010-04-06 David Wands

We revisit the inflationary dynamics in detail for theories with Gauss-Bonnet gravity coupled to scalar functions, in light of the Planck data. Considering the chaotic inflationary scenario, we constrain the parameters of two models…

广义相对论与量子宇宙学 · 物理学 2017-02-08 Srijit Bhattacharjee , Debaprasad Maity , Rupak Mukherjee

In this paper, we investigate chaotic inflation from scalar field subjected to potential in the framework of $f(R^2, P, Q)$-gravity, where we add a correction to Einstein's gravity based on a function of the square of the Ricci scalar…

广义相对论与量子宇宙学 · 物理学 2015-09-21 Shynaray Myrzakul , Ratbay Myrzakulov , Lorenzo Sebastiani

To explain the accelerated expansion of late universe, the 1/R correction to Einstein gravity is usually considered, where R is the Ricci scalar. This correction term is generally believed to be negligible in the early universe. However, if…

宇宙学与河外天体物理 · 物理学 2014-11-20 Shi Pi , Tower Wang

A modified theory of gravity with the function $F(R) = R\exp(\alpha R)$ instead of Ricci scalar $R$ in the Einstein$-$Hilbert action is considered and analyzed. The action of the model is converted into Einstein$-$Hilbert action at small…

广义相对论与量子宇宙学 · 物理学 2013-09-30 S. I. Kruglov

We propose a model describing Einstein gravity coupled to a scalar field with an exponential potential. We show that the weak-field limit of the model has static solutions given by a gravitational potential behaving for large distances as…

广义相对论与量子宇宙学 · 物理学 2010-11-19 Mariano Cadoni

We present phenomenological signatures for a modified gravity model f(R), constructed with linear, quadratic, cubic and quartic terms. The obtained signatures satisfy current phenomenological bounds reported by PLANCK and BICEP3.…

广义相对论与量子宇宙学 · 物理学 2025-01-17 Enrique Diaz , Oscar Meza-Aldama

The $F(R)$ gravity models of inflation are revisited in light of the recent observations of cosmic microwave background radiation by Atacama Cosmology Telescope (ACT) and DESI Collaboration. A detailed study of the evolution equations in…

广义相对论与量子宇宙学 · 物理学 2025-12-18 Sergei V. Ketov , Ekaterina O. Pozdeeva , Sergey Yu. Vernov

We propose a class of inflation models with potential V(\phi)=\alpha \phi^n exp(-\beta^m \phi^m). We show that such kind of inflaton potentials can be realized in supergravity theory with a small shift symmetry breaking term in the K\"ahler…

高能物理 - 唯象学 · 物理学 2015-06-18 Tianjun Li , Zhijin Li , Dimitri V. Nanopoulos

We investigate an ability of the exponential power-law inflation to be phenomenologically correct model of the early universe. GR scalar cosmology equations we study in Ivanov-Salopek-Bond (or Hamilton-Jacobi like) representation where the…

广义相对论与量子宇宙学 · 物理学 2025-01-22 I. V. Fomin , S. V. Chervon

We provide a refined and much more simplified Einstein-Gauss-Bonnet inflationary theoretical framework, which is compatible with the GW170817 observational constraints on the gravitational wave speed. As in previous works, the constraint…

广义相对论与量子宇宙学 · 物理学 2021-09-22 V. K. Oikonomou

The quantisation of scalar field theory and Einstein gravity is investigated using a fully covariant background field formalism, including Vilkovisky-DeWitt corrections. The one-loop divergences, which are relevant for the consistency of…

高能物理 - 理论 · 物理学 2014-09-17 Ian G. Moss

Scalar-tensor theories of gravity that embrace conformal coupling to the scalar curvature are the focal point of cosmology on discussions of inflation and late-time accelerating universe. Although there exists a stringent nucleo-synthesis…

广义相对论与量子宇宙学 · 物理学 2022-04-26 M. Yoshimura

We investigate the scalar and the tensor perturbations of the $\varphi^2$ inflation model in the strong-gravity limit of Eddington-inspired Born-Infeld (EiBI) theory. In order to consider the strong EiBI-gravity effect, we take the value of…

广义相对论与量子宇宙学 · 物理学 2015-08-06 Inyong Cho , Naveen K. Singh

A formulation of Einstein gravity, analogous to that for gauge theory arising from the Chalmers-Siegel action, leads to a perturbation theory about an asymmetric weak coupling limit that treats positive and negative helicities differently.…

高能物理 - 理论 · 物理学 2009-11-11 M. Abou-Zeid , C. M. Hull

We find the conditions under which scale-invariant Einstein-Cartan gravity with scalar matter fields leads to an approximate conformal invariance of the flat space particle theory up to energies of the order of the Planck mass. In the…

高能物理 - 理论 · 物理学 2023-07-24 Georgios K. Karananas , Mikhail Shaposhnikov , Sebastian Zell

We study a class of minimally coupled scalar field theories which leads to analytic solutions for the Hubble rate and the scalar field, where the scalar field obeys a generalized tracking law $\dot{\phi}^2\sim H^{-m}$. The inflationary…

广义相对论与量子宇宙学 · 物理学 2026-03-17 V. K. Oikonomou

The BICEP2 experiment confirms the existence of primordial gravitational wave with the tensor-to-scalar ratio $r=0$ ruled out at $7\sigma$ level. The consistency of this large value of $r$ with the {\em Planck} data requires a large…

高能物理 - 理论 · 物理学 2014-06-19 Qing Gao , Yungui Gong , Tianjun Li , Ye Tian

We establish a well-posedness theory for the f(R) theory of modified gravity, which is a generalization of Einstein's theory of gravitation. The scalar curvature R of the spacetime, which arises in the integrand of the Einstein-Hilbert…

偏微分方程分析 · 数学 2014-12-30 Philippe G. LeFloch , Yue Ma

We study inflation in the framework of $f(T)$-gravity in the presence of a canonical scalar field. After reviewing the basic equations governing the background cosmology in $f(T)$-gravity, we turn to study the cosmological perturbations and…

广义相对论与量子宇宙学 · 物理学 2016-02-02 K. Rezazadeh , A. Abdolmaleki , K. Karami