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We review the current status and prospects for the conformal invariant fourth order theory of gravity which has recently been advanced by Mannheim and Kazanas as a candidate alternative to the standard second order Einstein theory. We…

General Relativity and Quantum Cosmology · Physics 2009-09-25 Philip D. Mannheim

In a previous paper we presented a typical set of galactic rotation curves associated with the linear gravitational potential of the conformal invariant fourth order theory of gravity which has recently been advanced by Mannheim and Kazanas…

Astrophysics · Physics 2009-09-25 PHILIP D. MANNHEIM

In the first paper in this series we presented a typical set of galactic rotation curves associated with the conformal invariant fourth order theory of gravity which has recently been advanced by Mannheim and Kazanas as a candidate…

Astrophysics · Physics 2007-05-23 Philip D. Mannheim

We show that Mannheim's conformal gravity program, whose potential has a term proportional to $1/r$ and another term proportional to $r$, does not reduce to Newtonian gravity at short distances, unless one assumes undesirable singularities…

General Relativity and Quantum Cosmology · Physics 2013-12-16 Youngsub Yoon

We review some recent developments in the conformal gravity theory that has been advanced as a candidate alternative to standard Einstein gravity. As a quantum theory the conformal theory is both renormalizable and unitary, with unitarity…

High Energy Physics - Theory · Physics 2015-05-27 Philip D. Mannheim

As an alternative gravitational theory to General Relativity (GR), Conformal Gravity (CG) can be verified through astronomical observations. Currently, Mannheim and Kazanas have provided vacuum solutions for cosmological and local…

Cosmology and Nongalactic Astrophysics · Physics 2025-06-27 Li-Xue Yue , Da-Ming Chen

The missing of a Keplerian fall-off in the observed galaxy rotation curves represents classical evidence for the existence of dark matter on galactic scales. There has been some recent activity concerning the potential of modelling galactic…

General Relativity and Quantum Cosmology · Physics 2010-02-17 Aleksandar Rakic , Dominik J. Schwarz

We discuss some outstanding open questions regarding the validity and uniqueness of the standard second order Newton-Einstein classical gravitational theory. On the observational side we discuss the degree to which the realm of validity of…

General Relativity and Quantum Cosmology · Physics 2009-10-22 Philip D. Mannheim

We continue our study of the astrophysical implications of the linear potential $V(r)=-\beta c^2/r+\gamma c^2 r/2$ associated with fundamental gravitational sources in the conformal invariant fourth order theory of gravity which has…

Astrophysics · Physics 2007-05-23 Philip D. Mannheim , Jan Kmetko

We review some recent work by Mannheim and O'Brien on the systematics of galactic rotation curves in the conformal gravity theory. In this work the conformal theory was applied to a comprehensive, high quality sample of spiral galaxies…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-12 Philip D. Mannheim , James G. O'Brien

We suggest that the conventional need for overwhelming amounts of astrophysical dark matter should be regarded as a warning to standard gravity rather than as merely a challenge to it, and show that the systematics of galactic rotation…

Astrophysics · Physics 2007-05-23 Philip D. Mannheim

We present qualitative arguments in favor of an extension of the theory of the gravitational interaction beyond that resulting from the Hilbert-Einstein action. To this end we consider a locally conformal invariant theory of gravity,…

General Relativity and Quantum Cosmology · Physics 2023-02-07 Demosthenes Kazanas , Demetrios Papadopoulos , Dimitris Christodoulou

Within the framework of the Einstein's standard equations of the general theory of relativity, flat galactic rotational curves of galaxies cannot be explained without hypothesis attracting the dark matter, the particles of which had not yet…

General Relativity and Quantum Cosmology · Physics 2017-11-17 M. V. Gorbatenko , S. Yu. Sedov

We show quantitatively that an exact solution of Einstein's conformal gravity can explain very well the galactic rotation curves for a sample of 104 galaxies without need for dark matter or other exotic modification of gravity. The metric…

General Relativity and Quantum Cosmology · Physics 2019-06-13 Qiang Li , Leonardo Modesto

Galactic rotation curves have proven to be the testing ground for dark matter bounds in spiral galaxies of all morphologies. Dwarf galaxies serve as an increasingly interesting case of rotation curve dynamics due to their typically rising…

General Relativity and Quantum Cosmology · Physics 2018-01-10 James G. O'Brien , Thomas L. Chiarelli , Jeremy Dentico , Modestas Stulge , Brian Stefanski , Robert Moss , Spasen Chaykov

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

We reconsider the widely held view that the Mannheim--Kazanas (MK) vacuum solution for a static, spherically-symmetric system in conformal gravity (CG) predicts flat rotation curves, such as those observed in galaxies, without the need for…

General Relativity and Quantum Cosmology · Physics 2021-09-13 Michael Hobson , Anthony Lasenby

It has long been known that Newtonian dynamics applied to the visible matter in galaxies and clusters does not correctly describe the dynamics of those systems. While this is generally taken as evidence for dark matter it is in principle…

Astrophysics · Physics 2007-05-23 Anthony Aguirre

As an alternative gravitational theory to General Relativity (GR), the Conformal Gravity (CG) has recently been successfully verified by observations of Type Ia supernovae (SN Ia) and the rotation curves of spiral galaxies. The observations…

Astrophysics of Galaxies · Physics 2025-06-05 Li-Xue Yue , Da-Ming Chen

We discuss astrophysical implications of the modified gravity model in which the two matter components, ordinary and dark, couple to separate gravitational fields that mix to each other through small mass terms. There are two spin-2…

Cosmology and Nongalactic Astrophysics · Physics 2011-02-09 Zurab Berezhiani , Luigi Pilo , Nicola Rossi
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