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We construct an inflation model with inflaton non-minimally coupled to gravity on a warped DGP brane. Using an exponential potential, we calculate scalar power spectrum, spectral index and the running of the spectral index. We show that for…

高能物理 - 理论 · 物理学 2009-06-11 Kourosh Nozari , Behnaz Fazlpour

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…

宇宙学与河外天体物理 · 物理学 2026-05-27 Ali Hassan , Syksy Rasanen

It is shown that in the quadratic gravity based on Weyl's conformal geometry, the Planck mass scale can be generated from quantum effects of the gravitational field and the Weyl gauge field via the Coleman-Weinberg mechanism where a local…

高能物理 - 理论 · 物理学 2019-09-24 Ichiro Oda

We perform an analysis of models of chaotic inflation where the inflaton field $\phi$ is coupled non-minimally to gravity via $\xi \phi^n g^{\mu\nu}R_{\mu\nu}(\Gamma), n>0$. We focus on the Palatini theory of gravity, i.e. the case where…

广义相对论与量子宇宙学 · 物理学 2018-04-20 Laur Järv , Antonio Racioppi , Tommi Tenkanen

We consider scalar field inflation in the Palatini formulation of general relativity. The covariant derivative of the metric is then non-zero. From the effective theory point of view it should couple to other fields. We write down the most…

广义相对论与量子宇宙学 · 物理学 2022-05-04 Syksy Rasanen

We study Quadratic Inflation with the inflaton field $\phi$ coupled non-minimally to the curvature scalar $R$, so that the potential during inflation is of the form $V\propto m^2\phi^2+\xi R\phi^2$. We show that with a suitable choice of…

宇宙学与河外天体物理 · 物理学 2017-12-13 Tommi Tenkanen

We propose a simple modified gravity model without any initial matter fields in terms of several alternative non-Riemannian spacetime volume elements within the metric (second order) formalism. We show how the non-Riemannian…

广义相对论与量子宇宙学 · 物理学 2019-10-02 David Benisty , Eduardo Guendelman , Emil Nissimov , Svetlana Pacheva

The Palatini formulation has been successful in the development of several alternative theories of gravity. It is well understood that the Palatini and metric formulations are equivalent in minimally coupled scalar-tensor models, but…

广义相对论与量子宇宙学 · 物理学 2025-03-11 Sotirios Karamitsos

Recent results from the Atacama Cosmology Telescope (ACT) indicate a scalar spectral index $n_s \simeq 0.9743$, in excellent agreement with the prediction of linear inflation. However, the corresponding tensor-to-scalar ratio $r \simeq…

广义相对论与量子宇宙学 · 物理学 2025-04-18 Christian Dioguardi , Alexandros Karam

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

The inflationary dynamics and preheating in a model with a non-minimally coupled inflaton field in the metric and Palatini formalisms are studied in this paper. We find that in both formalisms, irrespective of the initial conditions, our…

广义相对论与量子宇宙学 · 物理学 2018-01-26 Chengjie Fu , Puxun Wu , Hongwei Yu

We revisit a single field inflationary model based on Coleman-Weinberg potentials. We show that in small field Coleman-Weinberg inflation, the observed amplitude of perturbations needs an extremely small quartic coupling of the inflaton,…

高能物理 - 唯象学 · 物理学 2015-06-17 Gabriela Barenboim , Eung Jin Chun , Hyun Min Lee

The theory of General Relativity was established on a spacetime manifold equipped with a metric tensor, $(\mathcal{M}_4,\text{g})$, and the connection on $\mathcal{M}_4$ identified with the Levi-Civita one. Even though there are valid…

广义相对论与量子宇宙学 · 物理学 2022-02-24 Angelos Lykkas

We explore inflationary cosmology in a theory where there are two scalar fields which non-minimally couple to the Ricci scalar and an additional $R^2$ term, which breaks the conformal invariance. Particularly, we investigate the slow-roll…

高能物理 - 理论 · 物理学 2015-07-10 Kazuharu Bamba , Sergei D. Odintsov , Petr V. Tretyakov

A period of rapidly accelerating expansion is expected in the early Universe implemented by a scalar field slowly rolling down along an asymptotically flat potential preferred by the current data. In this paper, we point out that this…

广义相对论与量子宇宙学 · 物理学 2022-09-01 Rong-Gen Cai , Yu-Shi Hao , Shao-Jiang Wang

The union of high-energy particle theories and gravitation often gives rise to an evolving strength of gravity. The standard picture of the earliest universe would certainly deserve revision if the Planck mass, which defines the strength of…

广义相对论与量子宇宙学 · 物理学 2008-02-03 Janna J. Levin

We study how higher-order gravity affects Higgs inflation in the Palatini formulation. We first review the metric and Palatini formulations in comparative manner and discuss their differences. Next cosmic inflation driven by a scalar field…

广义相对论与量子宇宙学 · 物理学 2021-06-28 Jaakko Annala

We show that in a quadratic gravity based on Weyl's conformal geometry, the Planck mass scale can be generated from quantum effects of the gravitational field and the Weyl gauge field via the Coleman-Weinberg mechanism where a local scale…

高能物理 - 理论 · 物理学 2020-03-30 Ichiro Oda

In this work, for the first time in literature, we study the predictions of non-minimally coupled Natural and Coleman-Weinberg potentials in the $n_s-r$ plane, and an extended $\Lambda$CDM model where we include non-standard…

宇宙学与河外天体物理 · 物理学 2024-07-19 Nilay Bostan , Shouvik Roy Choudhury

We derive the semiclassical evolution of massless minimally coupled scalar matter in the de Sitter space-time from the Born-Oppenheimer reduction of the Wheeler-DeWitt equation. We show that the dynamics of trans-Planckian modes can be cast…

高能物理 - 理论 · 物理学 2009-11-11 Gian Luigi Alberghi , Roberto Casadio , Alessandro Tronconi