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A theory of gravitation is constructed in which all homogeneous and isotropic solutions are nonsingular, and in which all curvature invariants are bounded. All solutions for which curvature invariants approach their limiting values approach…

General Relativity and Quantum Cosmology · Physics 2009-10-22 R. Brandenberger , V. Mukhanov , A. Sornborger

In hep-th/0506040 we discussed a classically constrained model of gravity. This theory contains known solutions of General Relativity (GR), and admits solutions that are absent in GR. Here we study cosmological implications of some of these…

High Energy Physics - Theory · Physics 2008-11-26 Gregory Gabadadze , Yanwen Shang

It was recently shown that in cosmology the gravitational action of faraway matter has quite relevant effects, if retardation of the forces and discreteness of matter (with its spatial correlation) are taken into account. Indeed, far matter…

Cosmology and Nongalactic Astrophysics · Physics 2011-11-28 A. Carati

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

During the 2016 International Workshop on Astronomy and Relativistic Astrophysics (IWARA), the question was raised as to if conformal gravity could explain the timely result of McGaugh et. al. 2016 which showed a universal nature found in…

General Physics · Physics 2019-04-10 James G. O'Brien , Thomas L. Chiarelli , Mark A. Falcone , Muhannad H. AlQurashi

We explore the scenario that the observable universe emerged from the vicinity of a negative mass ring singularity, and all content of the universe travels at the same group velocity close to the speed of light on a geodesic trajectory…

General Relativity and Quantum Cosmology · Physics 2025-07-03 Michael Zlotnikov

We consider static, spherically symmetric vacuum solutions to the equations of a theory of gravity with the Lagrangian f(R) where R is the scalar curvature and f is an arbitrary function. Using a well-known conformal transformation, the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 K. A. Bronnikov , M. S. Chernakova

The nature of the gravitational interaction between ordinary and dark matter is still open. Any deviation from universality or the Newtonian law also modifies the standard assumption of collisionless dark matter. On the other hand,…

High Energy Physics - Theory · Physics 2010-12-14 Zurab Berezhiani , Fabrizio Nesti , Luigi Pilo , Nicola Rossi

We present the rotation curves of 967 spiral galaxies, obtained by deprojecting and folding the raw data published by Mathewson et al. (1992). Of these, 80 meet objective excellence criteria and are suitable for individual detailed mass…

Astrophysics · Physics 2016-08-30 Massimo Persic , Paolo Salucci , Fulvio Stel

Recently, it has been suggested that the phenomenology of flat rotation curves observed at large radii in the equatorial plane of disk galaxies can be explained as a manifestation of General Relativity instead of the effect of Dark Matter…

Astrophysics of Galaxies · Physics 2022-09-21 Luca Ciotti

In this work, we investigate the possibility that the galaxy rotation curves can be explained in the framework of modified gravity models that introduce a Yukawa term in the gravitational potential. We include dark matter and assume that…

Astrophysics of Galaxies · Physics 2019-07-31 Álefe O. F. de Almeida , Luca Amendola , Viviana Niro

We investigate the gravitational radiation from binary systems in conformal gravity (CG) and massive conformal gravity (MCG). CG might explain observed galaxy rotation curves without dark matter, and both models are of interest in the…

General Relativity and Quantum Cosmology · Physics 2018-10-10 Chiara Caprini , Patric Hölscher , Dominik J. Schwarz

The Galactic Center black hole environment gives us new opportunity to test deviation from General Relativity and black hole physics. In this work we analytically generate the shape of the Galactic Center black hole by using a recently…

General Relativity and Quantum Cosmology · Physics 2026-01-27 Pranjali Bhattacharjee , Sanjeev Kalita , Debojit Paul

We investigate the cosmological implications of $f(Q)$ gravity, which is a modified theory of gravity based on non-metricity, in non-flat geometry. We perform a detailed dynamical-system analysis keeping the $f(Q)$ function completely…

General Relativity and Quantum Cosmology · Physics 2023-06-26 Hamid Shabani , Avik De , Tee-How Loo , Emmanuel N. Saridakis

Weyl conformal symmetry can solve the problem the spacetime singularities present in Einstein's gravity. In a recent paper, two of us have found a singularity-free rotating black hole solution in conformal gravity. In addition to the mass…

General Relativity and Quantum Cosmology · Physics 2018-07-11 Cosimo Bambi , Zheng Cao , Leonardo Modesto

Einstein gravity coupled to a massive skew symmetric field F_{\mu\nu\lambda} leads to an acceleration law that modifies the Newtonian law of attraction between particles. We use a framework of non-perturbative renormalization group…

Astrophysics · Physics 2009-11-10 J. W. Moffat

Horava gravity is a proposal for completing general relativity in the ultraviolet by interactions that violate Lorentz invariance at very high energies. We focus on (2+1)-dimensional projectable Horava gravity, a theory which is…

General Relativity and Quantum Cosmology · Physics 2021-12-20 Guillermo Lara , Mario Herrero-Valea , Enrico Barausse , Sergey M. Sibiryakov

In spiral galaxies, we explain their non-Keplerian rotation curves (RCs) by means of a non-luminous component embedding their stellar-gaseous disks. Understanding the detailed properties of this component (labelled Dark Matter, DM) is one…

Cosmology and Nongalactic Astrophysics · Physics 2012-05-21 Gianluca Castignani , Noemi Frusciante , Daniele Vernieri , Paolo Salucci

We show that under certain technical assumptions, including the existence of a constant mean curvature (CMC) slice and strict positivity of the scalar field, general relativity conformally coupled to a scalar field can be quantised on a…

General Relativity and Quantum Cosmology · Physics 2013-04-25 Norbert Bodendorfer , Alexander Stottmeister , Andreas Thurn

In the currently accepted paradigm, dark matter is hypothesized as an explanation of the flat rotation curves of galaxies under the assumption of virialized orbits. The use of millisecond pulsar timing as a probe of Galactic dark matter…

Astrophysics of Galaxies · Physics 2021-04-21 Kiley Heflin , Richard Lieu