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The Weyl gravity appears to be a very peculiar theory. The contribution of the Weyl linear parameter to the effective geodesic potential is opposite for massive and nonmassive geodesics. However, photon geodesics do not depend on the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 S. Pireaux

Weyl gravity has been advanced in the recent past as an alternative to General Relativity (GR). The theory has had some success in fitting galactic rotation curves without the need for copious amounts of dark matter. To check the viability…

Astrophysics · Physics 2008-12-30 A. Edery , M. B. Paranjape

Recently, there has been an interest in inflation and modified gravity with a Weyl term added to the general-relativistic action (N. Derulle, M. Sasaki, Y. Sendouda and A. Youssef, JCAP, 3, 040 (2011)). In this paper we study empirical…

Cosmology and Nongalactic Astrophysics · Physics 2012-03-13 Wei-Tou Ni

Weyl's conformal gravity theory, which is considered as a compelling alternative to general relativity theory, has been claimed to describe the observed flat rotation curve feature of spiral galaxies without the need of invoking dark…

General Relativity and Quantum Cosmology · Physics 2023-07-12 Shubhrangshu Ghosh , Mahasweta Bhattacharya , Yanzi Sherpa , Arunava Bhadra

We discuss, without assuming asymptotic flatness, a gravitational lens for an observer and source that are within a finite distance from a lens object. The proposed lens equation is consistent with the deflection angle of light that is…

General Relativity and Quantum Cosmology · Physics 2020-09-30 Keita Takizawa , Toshiaki Ono , Hideki Asada

We estimate the changes in solar system tests of general relativity when "dark energy" arises from a Weyl scaling invariant action, using the modified Schwarzschild-like spherically symmetric solution obtained in this case by Adler and…

General Relativity and Quantum Cosmology · Physics 2023-01-11 Stephen L. Adler

We calculate the deflection angle of light from a distant source by a galaxy cluster in Weyl's conformal gravity. The general method of calculation is first applied to calculate the deflection angle in Schwarzschild-de Sitter (Kottler)…

General Relativity and Quantum Cosmology · Physics 2019-10-18 Oguzhan Kasikci , Cemsinan Deliduman

The higher dimensional Weyl curvature induces on the brane a new source of gravity. This Weyl fluid of geometrical origin (reducing in the spherically symmetric, static configuration to a dark radiation and dark pressure) modifies…

General Relativity and Quantum Cosmology · Physics 2015-06-05 K. C. Wong , T. Harko , K. S. Cheng , L. Á. Gergely

The conformal gravity fit to observed galactic rotation curves requires {\gamma}>0. On the other hand, conventional method for light deflection by galaxies gives a negative contribution to Schwarzschild value for {\gamma}>0, which is…

General Relativity and Quantum Cosmology · Physics 2015-06-15 Carlo Cattani , Massimo Scalia , Ettore Laserra , Ivana Bochicchio , Kamal K. Nandi

The potential of the gravitational microlensing inside our Galaxy for testing the Einstein formula for the gravitational light deflection is discussed. For this purpose, the lens mapping is modified by introducing parameter eps, which…

General Relativity and Quantum Cosmology · Physics 2020-12-22 A. N. Alexandrov , V. M. Sliusar , V. I. Zhdanov

The Weyl potential, which is the sum of the spatial and temporal distortions of the Universe's geometry, provides a direct way of testing the theory of gravity and the validity of the $\Lambda$CDM (Lambda Cold Dark Matter) model. Here we…

Cosmology and Nongalactic Astrophysics · Physics 2025-07-14 Isaac Tutusaus , Camille Bonvin , Nastassia Grimm

We study light propagation and gravitational lensing in scalar-tensor theories of gravity by using a static, axisymmetric exterior solution. The solution has asymptotic flatness properties and is reduced to Voorhees's one in the case of a…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Shin-ei Tsuneishi , Kazuya Watanabe , Tooru Tsuchida

We investigate the constraints imposed by the Weak Gravity Conjecture (WGC) on gravitational lensing in gravity's rainbow, focusing in particular on scenarios beyond extremality and on the interplay between the WGC and the Weak Cosmic…

General Relativity and Quantum Cosmology · Physics 2025-12-10 Saeed Noori Gashti , Behnam Pourhassan , Izzet Sakallı

We consider the Weyl-Dirac theory within the framework of the weak field approximation and show that the resulting gravitational potential differs from that of Newtonian by a repulsive correction term increasing with distance. The scale of…

General Relativity and Quantum Cosmology · Physics 2010-11-19 S. Mirabotalebi , S. Jalalzadeh , S. Movahed , H. R. Sepangi

Conformal Weyl Gravity (CWG) predicts galactic rotation curves without invoking dark matter. This makes CWG an interesting candidate theory as an alternative to GR. This removal of the necessity of dark matter arises because the exact…

General Relativity and Quantum Cosmology · Physics 2014-04-01 Deandra Cutajar , Kristian Zarb Adami

The idea that we live in a Universe undergoing a period of acceleration is a strongly held notion in cosmology. As this can, potentially, be explained with a modification to General Relativity we look at current cosmological data with the…

Astrophysics · Physics 2010-11-11 Shaun A. Thomas , Filipe B. Abdalla , Jochen Weller

We study the weak-field limit of the conformal Weyl gravity suggested by Mannheim as an alternative to Einstein's General Relativity modeling both dark matter and dark energy. We solve the field equations of the theory in the weak-field…

Astrophysics · Physics 2014-11-18 O. V. Barabash , H. P. Pyatkovska

An exact solution is obtained for the gravitational bending of light in static, spherically symmetric metrics which includes the Schwarzschild-de Sitter spacetime and also the Mannheim-Kazanas metric of conformal Weyl gravity. From the…

General Relativity and Quantum Cosmology · Physics 2017-01-06 Yen-Kheng Lim , Qing-hai Wang

Eventual flattening of velocity dispersion profiles of some galactic globular clusters in the Milky Way cannot be explained in the framework of Newtonian gravity and hence in general theory of relativity in the weak field limit, without…

General Relativity and Quantum Cosmology · Physics 2019-07-31 Tousif Islam

We examine the viability of Weyl conformal gravity as an alternative to the general theory of relativity. By using the extended rotation curve of the Milky Way and velocity dispersions of four globular clusters, we show that Weyl gravity…

General Relativity and Quantum Cosmology · Physics 2018-12-19 Koushik Dutta , Tousif Islam
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