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We propose a new model of $D=4$ Gauss-Bonnet gravity. To avoid the usual property of the integral over the standard $D=4$ Gauss-Bonnet scalar becoming a total derivative term, we employ the formalism of metric-independent non-Riemannian…

广义相对论与量子宇宙学 · 物理学 2019-03-27 Eduardo Guendelman , Emil Nissimov , Svetlana Pacheva

We argue that propagation of gravitational field in the extra dimension is motivated by physical realization of second iteration of self interaction of gravity and it is described by the Gauss-Bonnet term. The most remarkable feature of the…

高能物理 - 理论 · 物理学 2007-05-23 Naresh Dadhich

The role of an exponential function of the scalar curvature in the modified gravity is analyzed. Two models are proposed. A toy model that complies with local and cosmological constraints and gives appropriate qualitative description of the…

广义相对论与量子宇宙学 · 物理学 2020-07-15 L. N. Granda

The late-time cosmic acceleration may be due to infra-red modifications of General Relativity. In particular, we consider a maximal extension of the Hilbert-Einstein action and analyze several interesting features of the theory. Generally,…

广义相对论与量子宇宙学 · 物理学 2012-10-30 Tiberiu Harko , Francisco S. N. Lobo

We study a model of scalar field with kinetic terms non-minimally coupled to to the curvature, and the scalar field coupled to the Gauss Bonnet 4-dimensional invariant. A variety of solutions are found, giving rise to different cosmological…

广义相对论与量子宇宙学 · 物理学 2015-05-30 L. N. Granda

A viable quantum theory does not allow curvature invariant terms of different higher orders to be accommodated in the gravitational action. We show that there is indeed a conflict between the curvature squared and Gauss-Bonnet squared terms…

广义相对论与量子宇宙学 · 物理学 2021-10-27 Dalia Saha , Mohosin Alam , Ranajit Mandal , Abhik Kumar Sanyal

Gauss-Bonnet-scalar interaction has been found to play a crucial role from the beginning till the late time of cosmological evolution. A cosmological model has been constructed where the Universe starts with exponential expansion but with…

天体物理学 · 物理学 2008-11-26 Abhik Kumar Sanyal

In four dimensions a Gauss-Bonnet term in the action corre- sponds to a total derivative, and it does not contribute to the classical equations of motion. For higher-dimensional geometries this term has the interesting property (shared with…

广义相对论与量子宇宙学 · 物理学 2010-11-01 H. H. Soleng , O. Gron

In this short note we present the dynamics of a general scalar-tensor model, and in particular a scalar Einstein-Gauss-Bonnet model with a non-minimal coupling between gravity and the kinetic term of the scalar field. For the sake of…

广义相对论与量子宇宙学 · 物理学 2021-10-04 Fotis Fronimos

We consider the cosmological implications of a four-dimensional extension of the Gauss-Bonnet $f(G)$ gravity, where $G$ is the Gauss-Bonnet topological invariant, in which the Einstein-Hilbert action is replaced by an arbitrary function…

广义相对论与量子宇宙学 · 物理学 2025-06-23 Ratul Mandal , Himanshu Chaudhary , Tiberiu Harko , Ujjal Debnath , G. Mustafa

We explore bounce cosmology in $F(\mathcal{G})$ gravity with the Gauss-Bonnet invariant $\mathcal{G}$. We reconstruct $F(\mathcal{G})$ gravity theory to realize the bouncing behavior in the early universe and examine the stability…

高能物理 - 理论 · 物理学 2014-04-17 Kazuharu Bamba , Andrey N. Makarenko , Alexandr N. Myagky , Sergei D. Odintsov

It has been shown a specific Horndeski theory of gravity arises from a consistent Kaluza-Klein reduction of the gravi-dilaton sector of the low-energy effective heterotic string action with a first $\alpha'$ correction. Here we provide a…

高能物理 - 理论 · 物理学 2021-11-03 Damien A. Easson , Tucker Manton , Andrew Svesko

We propose the Gauss-Bonnet dark energy model inspired by string/M-theory where standard gravity with scalar contains additional scalar-dependent coupling with Gauss-Bonnet invariant. It is demonstrated that effective phantom (or…

高能物理 - 理论 · 物理学 2009-09-17 Shin'ichi Nojiri , Sergei D. Odintsov , Misao Sasaki

We show that the phase transition from the decelerating universe to the accelerating universe, which is of relevance to the cosmological coincidence problem, is possible in the semiclassically quantized two-dimensional dilaton gravity by…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Wontae Kim , Myung Seok Yoon

In this paper we investigate the cosmological effects of modified gravity with string curvature corrections added to Einstein-Hilbert action in the presence of a dynamically evolving scalar field coupled to Riemann invariants. The scenario…

高能物理 - 理论 · 物理学 2008-11-26 Shin'ichi Nojiri , Sergei D. Odintsov , M. Sami

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

We study the possibility that in the model introduced in \cite{GBN}, the Gauss-Bonnet term alone gives rise to the cosmic acceleration and super-acceleration in four-dimensional FLRW space-time at the late time. We also discuss transitions…

广义相对论与量子宇宙学 · 物理学 2021-04-26 H. Mohseni Sadjadi

We analyze the background cosmology for an extension of the DGP gravity with Gauss-Bonnet term in the bulk and $f(R)$ gravity on the brane. We investigate implications of this setup on the late-time cosmic history. Within a dynamical system…

广义相对论与量子宇宙学 · 物理学 2014-01-15 Kourosh Nozari , Faeze Kiani , Narges Rashidi

A modified theory of general relativity is proposed, where the gravitational constant is replaced by a dynamical variable in space-time. The dynamics of the gravitational coupling is described by a family of parametrized null geodesics,…

广义相对论与量子宇宙学 · 物理学 2016-04-14 Felix Finster , Christian Röken

We study cosmologies in modified theories of gravity considering Lagrangian density $f(R)$ which is a polynomial function of scalar curvature ($R$) in the Einstein-Hilbert action in vacuum. The field equation obtained from the modified…

宇宙学与河外天体物理 · 物理学 2009-10-29 B. C. Paul , P. S. Debnath , S. Ghose