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Related papers: Rescaled Einstein-Gauss-Bonnet Gravity Inflation

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The so-called unimodular version of General Relativity is revisited. Unimodular gravity is constructed by fixing the determinant of the metric, what leads to the trace-free part of the equations instead of the usual Einstein field…

General Relativity and Quantum Cosmology · Physics 2016-06-22 Diego Saez-Gomez

The Einstein-Hilbert action of general theory of relativity (GR) is the integral of the scalar curvature $R$. It is a theory that is drawn from the Equivalence principle, and has predictions that come out as a consequence of the principle,…

General Relativity and Quantum Cosmology · Physics 2022-07-15 Soham Bhattacharyya

Classical generalization of general relativity is considered as gravitational alternative for unified description of the early-time inflation with late-time cosmic acceleration. The structure and cosmological properties of number of…

General Relativity and Quantum Cosmology · Physics 2011-07-26 Shin'ichi Nojiri , Sergei D. Odintsov

We consider a single scalar field inflation model with Higgs potential and curvature corrections given by non-minimal derivative coupling to gravity and coupling to the Gauss-Bonnet invariant. Exact analytical expressions, within the…

General Relativity and Quantum Cosmology · Physics 2019-10-25 L. N. Granda , D. F. Jimenez

Einstein-Gauss-Bonnet (EGB) model is recently restudied in order to analyze new consequences in gravitation, modifying appropriately the Einstein-Hilbert action. The consequences in EGB cosmology are mainly geometric, with higher order…

Cosmology and Nongalactic Astrophysics · Physics 2021-03-02 Miguel A. García-Aspeitia , A. Hernández-Almada

We study the embedding theory being a formulation of the gravitation theory where the independent variable is the embedding function for the four-dimensional space-time in a flat ambient space. We do not impose additional constraints which…

General Relativity and Quantum Cosmology · Physics 2012-06-01 S. A. Paston , A. A. Sheykin

We revisit the Starobinsky model of inflation in light of recent data from the Atacama Cosmology Telescope (ACT), which indicates a potential preference for a slightly larger scalar spectral index $n_s$ than predicted by the standard $R^2$…

General Relativity and Quantum Cosmology · Physics 2025-12-25 Andrea Addazi , Yermek Aldabergenov , Daulet Berkimbayev , Yifu Cai

In the last decade Planck PR4 data together with ground-based experimental data such as, BK18, BAO and CMB lensing, tightened constraint of the tensor to scalar ratio, starting form $r < 0.14$ to $r < 0.032$, while the spectral index lies…

General Relativity and Quantum Cosmology · Physics 2023-08-24 Dalia Saha , Jyoti Prasad Saha , Abhik Kumar Sanyal

Birkhoff's theorem is discussed in the frame of f(R) gravity by using its scalar-tensor representation. Modified gravity has become very popular at recent times as it is able to reproduce the unification of inflation and late-time…

General Relativity and Quantum Cosmology · Physics 2015-05-28 Salvatore Capozziello , Diego Sáez-Gómez

In this work we shall study a possible pre-inflationary scenario for our Universe and how this might be realized by $f(R)$ gravity. Specifically, we shall introduce a scenario in which the Universe in the pre-inflationary era contracts…

General Relativity and Quantum Cosmology · Physics 2022-01-05 S. D. Odintsov , V. K. Oikonomou

We study anisotropic inflation with Gauss-Bonnet correction in presence of a massless vector field. In this scenario, exact anisotropic power-law inflation is realized when the inflaton potential, gauge coupling function and the…

High Energy Physics - Theory · Physics 2016-10-06 Sayantani Lahiri

We investigate inflation within $f(R,\phi)$-theories, where a dynamical scalar field is coupled to gravity. A class of models which can support early-time acceleration with the emerging of an effective cosmological constant at high…

General Relativity and Quantum Cosmology · Physics 2018-12-13 R. Myrzakulov , L. Sebastiani , S. Vagnozzi

We investigate the reconstruction of standard and generalized Rastall gravity inflationary models, using the scalar spectral index and the Rastall parameter expressed as functions of the number of $e-$folds $N$. Within a general formalism,…

General Relativity and Quantum Cosmology · Physics 2025-12-09 Ramon Herrera , Carlos Rios

The recent results of the BICEP and Keck collaborations have put stringent bounds on many inflationary models, including some well-motivated ones. This is certainly the case when gravity remains described by Einstein's theory up to the…

Cosmology and Nongalactic Astrophysics · Physics 2022-09-12 Alberto Salvio

Inflation in the framework of Einstein-Cartan theory is revisited. Einstein-Cartan theory is a natural extension of the General Relativity, with non-vanishing torsion. The connection on Riemann-Cartan spacetime is only compatible with the…

High Energy Physics - Theory · Physics 2021-08-23 Ammar Kasem , Shaaban Khalil

The inflationary paradigm is an important cornerstone of the concordance cosmological model. However, standard inflation cannot fully address the transition from an early homogeneous and isotropic stage, to another one lacking such…

General Relativity and Quantum Cosmology · Physics 2015-12-08 Mauro Mariani , Gabriel R. Bengochea , Gabriel Leon

We present modified Gauss-Bonnet gravity without matter in four dimensions which accommodates flat emergent universe (EU) obtained in Einstein's general theory of gravity with a non-linear equation of state. The EU model is interesting…

Cosmology and Nongalactic Astrophysics · Physics 2020-08-04 B. C. Paul , S. D. Maharaj , A. Beesham

Towards the investigation of the full dynamics in higher-dimensional and/or stringy gravitational model, we present the basic equations of the Einstein-Gauss-Bonnet gravity theory. We show $(N+1)$-dimensional version of the ADM…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Takashi Torii , Hisa-aki Shinkai

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 review inflationary cosmology in modified gravity such as $R^2$ gravity with its extensions in order to generalize the Starobinsky inflation model. In particular, we explore inflation realized by three kinds of effects: modification of…

High Energy Physics - Theory · Physics 2015-03-11 Kazuharu Bamba , Sergei D. Odintsov