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We obtain the matter-graviton scattering amplitude in the gravitational theory of quadratic curvature, which has $R_{\mu\nu}^2$ term in the action. Unitarity bound is not satisfied because of the existence of negative norm states, while an…

High Energy Physics - Theory · Physics 2023-04-12 Yugo Abe , Takeo Inami , Keisuke Izumi

We consider a class of modified gravity models where the terms added to the standard Einstein-Hilbert Lagrangian are just a function of the metric only. For linearized perturbations around an isotropic space-time, this class of models is…

Cosmology and Nongalactic Astrophysics · Physics 2013-10-30 Richard A. Battye , Jonathan A. Pearson

We show that in the framework of R^{2} gravity and in the linearized approach it is possible to obtain spherically symmetric stationary states that can be used as a model for galaxies. The model can also help to have a better understanding…

General Relativity and Quantum Cosmology · Physics 2011-12-13 Christian Corda , Herman J. Mosquera Cuesta , Roberto Lorduy Gòmez

We discuss the possibility that suitable modifications of gravity could account for some amount of the radiation we observe today, in addition to the possibility of explaining the present speed up of the universe. We start introducing and…

General Relativity and Quantum Cosmology · Physics 2015-12-02 Joao Morais , Mariam Bouhmadi-Lopez , Salvatore Capozziello

We consider the possibility of an alternative gravity theory explaining the dynamics of galactic systems without dark matter. From very general assumptions about the structure of a relativistic gravity theory we derive a general expression…

General Relativity and Quantum Cosmology · Physics 2009-10-22 Vadim V. Zhytnikov , James M. Nester

In this paper we study the most general covariant action of gravity up to terms that are quadratic in curvature. In particular this includes non-local, infinite derivative theories of gravity which are ghost-free and exhibit asymptotic…

High Energy Physics - Theory · Physics 2015-06-16 Tirthabir Biswas , Aindriú Conroy , Alexey S. Koshelev , Anupam Mazumdar

More than three decades ago quadratic gravity was found to present a perturbative, renormalizable and asymptotically free theory of quantum gravity. Unfortunately the theory appeared to have problems with a spin-2 ghost. In this essay we…

High Energy Physics - Theory · Physics 2016-11-15 Bob Holdom , Jing Ren

In our current best cosmological model, the vast majority of matter in the Universe is dark, consisting of yet undetected, non-baryonic particles that do not interact electro-magnetically. So far, the only significant evidence for dark…

Cosmology and Nongalactic Astrophysics · Physics 2020-09-09 Jenny Wagner

In the report there are presented the general frameworks for the quartet-metric gravity based upon the two physical concepts. First, there exist in space-time the distinct dynamical coordinates, given by a scalar quartet, playing the role…

General Relativity and Quantum Cosmology · Physics 2019-03-19 Yuriy F. Pirogov

Starting from the weak field limit, we discuss astrophysical applications of Extended Theories of Gravity where higher order curvature invariants and scalar fields are considered by generalizing the Hilbert-Einstein action linear in the…

General Relativity and Quantum Cosmology · Physics 2015-02-25 A. Stabile , S. Capozziello

The modified gravity with $\ln R$ or $R^{-n} (\ln R)^m$ terms which grow at small curvature is discussed. It is shown that such a model which has well-defined newtonian limit may eliminate the need for dark energy and may provide the…

High Energy Physics - Theory · Physics 2009-09-17 Shin'ichi Nojiri , Sergei D. Odintsov

An extension of the bimetric theory of gravity is considered that includes quadratic Ricci curvature terms associated with each metric. The issue of the Boulware-Deser ghost is analyzed. The Hamiltonian constraint is derived and the…

General Relativity and Quantum Cosmology · Physics 2025-01-23 Ioannis D. Gialamas , Kyriakos Tamvakis

We survey the landscape of $f(R)$ theories of gravity in their various formulations, which have been used to model the cosmic acceleration as alternatives to dark energy and dark matter. Besides, we take into account the problem of…

General Relativity and Quantum Cosmology · Physics 2015-05-14 S. Capozziello , M. De Laurentis , V. Faraoni

Inclusion of $f(R)$ term in the action of Horava-Lifshitz quantum gravity with projectability but without detailed balance condition is investigated, where $R$ denotes the 3-spatial dimensional Ricci scalar. Conditions for the spin-0…

High Energy Physics - Theory · Physics 2011-03-02 Anzhong Wang

Theory of general relativity (GR) has been scrutinized by experts for almost a century and describes accurately all gravitational phenomena ranging from the solar system to the universe. However, this success is achieved provided one admits…

General Physics · Physics 2013-07-02 Ram Gopal Vishwakarma

We show that in the Einstein-Cartan gravity it is possible to obtain a relation between Hubble's expansion and the global rotation (vorticity) of the Universe. Gravitational coupling can be reduced to dimensionless quantity of order unity,…

Astrophysics · Physics 2008-11-26 D. Palle

Quadratic theory of gravity is a complicated constraint system. We investigate some consequences of treating quadratic terms perturbatively (higher derivative version of backreaction effects). This approach is shown to overcome some well…

General Relativity and Quantum Cosmology · Physics 2016-08-31 J. H. Kung

An alternative way of explaining astrophysical observations without dark matter is proposed. In the braneworld scenario, where our universe is visualised as a 4-dimensional hypersurface embedded in a higher dimensional spacetime, the…

Astrophysics · Physics 2007-05-23 Supratik Pal

Despite their diversity, many of the most prominent candidate theories of quantum gravity share the property to be effectively lower-dimensional at small scales. In particular, dimension two plays a fundamental role in the finiteness of…

High Energy Physics - Theory · Physics 2015-03-17 Gianluca Calcagni

Observations show that the expansion of the Universe is accelerating. This requires that the dominant constituent of matter in the Universe has some unusual properties like negative pressure. This exotic component has been given the name…

Popular Physics · Physics 2019-01-17 Manvendra Pratap Rajvanshi , Tuneer Chakraborty , J. S. Bagla
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