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We discuss weak lensing characteristics in the gravitational field of a compact object in the low-energy approximation of fourth order f(R) gravity theory. The particular solution is characterized by a gravitational strength parameter…

General Relativity and Quantum Cosmology · Physics 2013-12-05 Zsolt Horváth , László Á. Gergely , David Hobill , Salvatore Capozziello , Mariafelicia De Laurentis

Various approaches to quantum gravity such as string theory, loop quantum gravity and Horava-Lifshitz gravity predict modifications of the energy-momentum dispersion relation. Magueijo and Smolin incorporated the modified dispersion…

General Relativity and Quantum Cosmology · Physics 2015-05-12 Ahmed Farag Ali , Mohammed M. Khalil

In the present work, we derive the motion of light in the weak-field limit of energy-momentum-squared gravity (EMSG). To do so, we introduce the post-Newtonian (PN) expansion of this modified theory of gravity. It is shown that in addition…

General Relativity and Quantum Cosmology · Physics 2022-05-25 Elham Nazari

We show that in the weak field limit the light deflection alone cannot distinguish between different $R + F[g(\square)R]$ models of gravity, where $F$ and $g$ are arbitrary functions. This does not imply, however, that in all these theories…

General Relativity and Quantum Cosmology · Physics 2018-03-09 Breno L. Giacchini , Ilya L. Shapiro

We explore the prospects for bounding the weak scale using the weak gravity conjecture (WGC), addressing the hierarchy problem by violating the expectations of effective field theory. Building on earlier work by Cheung and Remmen, we…

High Energy Physics - Phenomenology · Physics 2019-10-02 Nathaniel Craig , Isabel Garcia Garcia , Seth Koren

The formalism of rainbow gravity is studied in a cosmological setting. We consider the very early universe which is radiation dominated. A novel treatment in our paper is to look for an ``averaged'' cosmological metric probed by radiation…

General Relativity and Quantum Cosmology · Physics 2009-07-07 Yi Ling

In this work, we study several extensions of the higher curvature modification of $R^{2}$ inflation in the context of gravity's rainbow. We modify the $(R+R^{2})$ model by adding an $f_{1}R^3$-term, an $f_{2}R^4$-term, and an…

General Relativity and Quantum Cosmology · Physics 2024-08-05 Jureeporn Yuennan , Phongpichit Channuie , Davood Momeni

We study the effect of modifications to General Relativity on large scale weak lensing observables. In particular, we consider three modified gravity scenarios: f(R) gravity, the DGP model, and TeVeS theory. Weak lensing is sensitive to the…

Astrophysics · Physics 2008-11-26 Fabian Schmidt

We study the possibility of realizing a growth rate of matter density perturbations lower than that in General Relativity. Using the approach of the effective field theory of modified gravity encompassing theories beyond Horndeski, we…

Cosmology and Nongalactic Astrophysics · Physics 2015-08-26 Shinji Tsujikawa

In this paper, we investigate a spinning black ring and a charged black ring in the context of gravity's rainbow. By incorporating rainbow functions proposed by Amelino-Camelia, et al. in [arXiv:hep-th/9605211, arXiv:0806.0339v2] in the…

High Energy Physics - Theory · Physics 2015-01-05 Ahmed Farag Ali , Mir Faizal , Mohammed M. Khalil

We are developing a general, unified, and rigorous analytical framework for using gravitational lensing by compact objects to test different theories of gravity beyond the weak-deflection limit. In this paper we present the formalism for…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Charles R. Keeton , A. O. Petters

We present an analysis of galaxy-galaxy weak gravitational lensing (GGL) in chameleon $f(R)$ gravity - a leading candidate of non-standard gravity models. For the analysis we have created mock galaxy catalogues based on dark matter haloes…

Cosmology and Nongalactic Astrophysics · Physics 2017-12-27 Baojiu Li , Masato Shirasaki

Dark energy may be the first sign of new fundamental physics in the Universe, taking either a physical form or revealing a correction to Einsteinian gravity. Weak gravitational lensing and galaxy peculiar velocities provide complementary…

Weak lensing (WL) promises to be a particularly sensitive probe of both the growth of large scale structure (LSS) as well as the fundamental relation between matter density perturbations and metric perturbations, thus providing a powerful…

Cosmology and Nongalactic Astrophysics · Physics 2016-05-25 Geraint Pratten , Dipak Munshi , Patrick Valageas , Philippe Brax

If it is hypothesised that there is no dark matter then some alternative gravitational theory must take the place of general relativity (GR) on the largest scales. Dynamical measurements can be used to investigate the nature of such a…

Astrophysics · Physics 2008-11-26 Daniel J. Mortlock , Edwin L. Turner

We investigate gravitational lensing by \textit{special} Buchdahl inspired metric with the Buchdahl parameter $\tilde{k}$. In strong deflection limit, we derive the deflection angle analytically for the light rays that diverge as photons…

General Relativity and Quantum Cosmology · Physics 2025-01-08 Shafia Maryam , Mubasher Jamil , Mustapha Azreg-Aïnou , Zoe C S Chan

We explore the complementarity of weak lensing and galaxy peculiar velocity measurements to better constrain modifications to General Relativity. We find no evidence for deviations from GR on cosmological scales from a combination of…

Cosmology and Nongalactic Astrophysics · Physics 2012-10-26 Yong-Seon Song , Gong-Bo Zhao , David Bacon , Kazuya Koyama , Robert C Nichol , Levon Pogosian

In this review, various researches on finding the bending angle of light deflected by a massive gravitating object which regard the Gauss-Bonnet theorem as the premise have been revised. Primarily, the Gibbons and Werner method is studied…

General Relativity and Quantum Cosmology · Physics 2021-11-05 Yashmitha Kumaran , Ali Övgün

The Weak Gravity Conjecture (WGC) was proposed to constrain Effective Field Theories (EFTs) with Abelian gauge symmetry coupled to gravity. In this article, I study the WGC from low energy observers' perspective, and revisit the issue of to…

High Energy Physics - Theory · Physics 2018-10-09 Kazuyuki Furuuchi

The weak gravity conjecture and the shear viscosity to entropy density bound place constraints on low energy effective field theories that may help to distinguish which theories can be UV completed. Recently, there have been suggestions of…

High Energy Physics - Theory · Physics 2010-12-14 Aaron J. Amsel , Dan Gorbonos