Galactic Potentials

Abstract

The information contained in galactic rotation curves is examined under a minimal set of assumptions. If emission occurs from stable circular geodesic orbits of a static spherically symmetric field, with information propagated to us along null geodesics, observed rotation curves determine galactic potentials without specific reference to any metric theory of gravity. Given the potential, the gravitational mass can be obtained by way of an anisotropy function of this field. The gravitational mass and anisotropy function can be solved for simultaneously in a Newtonian limit without specifying any specific source. This procedure, based on a minimal set of assumptions, puts very strong constraints on any model of the "dark matter".

A somewhat longer form of the final version to appear in Physical Review Letters.Clarification and further references

References in corpus (11)

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Cited by in corpus (53)

• f(R,T) gravity
• Decoupling gravitational sources in general relativity: from perfect to anisotropic fluids
• All static spherically symmetric anisotropic solutions of Einstein's equations
• Anisotropic solutions by gravitational decoupling
• Generalized curvature-matter couplings in modified gravity
• Structure and evolution of self-gravitating objects and the orthogonal splitting of the Riemann tensor
• Anisotropic models for compact stars
• Hybrid metric-Palatini gravity
• Can the galactic rotation curves be explained in brane world models?
• Galactic rotation curves in modified gravity with non-minimal coupling between matter and geometry
• Galactic rotation curves in hybrid metric-Palatini gravity
• Stable and self-consistent compact star models in teleparallel gravity
• Unified Dark Matter Scalar Field Models
• Combining rotation curves and gravitational lensing: How to measure the equation of state of dark matter in the galactic halo
• Wormhole geometries with conformal motions
• All spherically symmetric charged anisotropic solutions for compact star
• Galactic metric, dark radiation, dark pressure and gravitational lensing in brane world models
• A simple method to generate exact physically acceptable anisotropic solutions in general relativity
• Hyperbolically symmetric static fluids: A general study
• Kerr black hole parameters in terms of red/blue shifts of photons emitted by geodesic particles
• Generating static spherically symmetric anisotropic solutions of Einstein's equations from isotropic Newtonian solutions
• Averaging in Spherically Symmetric Cosmology
• Features of galactic halo in a brane world model and observational constraints
• Anisotropic Models for Globular Clusters, Galactic Bulges and Dark Halos
• Can extra dimensional effects replace dark matter ?
• The Homogeneous Scalar Field and the Wet Dark Sides of the Universe
• Spatially Hyperbolic Gravitating Sources in $\Lambda$-Dominated Era
• Conformally symmetric vacuum solutions of the gravitational field equations in the brane-world models
• Averaging Spherically Symmetric Spacetimes in General Relativity
• Anisotropic Compact Star Model Satisfying Karmarkar Conditions
• Halos of Unified Dark Matter Scalar Field
• All static spherically symmetric anisotropic solutions for general relativistic polytropes
• Vector field and rotational curves in dark galactic halos
• Brane-$f(R)$ gravity and dark matter
• Periodic orbits and their gravitational wave radiations around the Schwarzschild-MOG black hole
• Comment on "Impact of a Global Quadratic Potential on Galactic Rotation Curves"
• Toward the Gravitational Redshift Detection in NGC 4258 and the Estimation of its Black Hole Mass-to-Distance Ratio
• Revisiting perfect fluid dark matter: Observational constraints from our galaxy
• Effective refractive index tensor for weak field gravity
• Spherically Symmetric Solutions in Macroscopic Gravity
• Brane worlds and dark matter
• Constraint on dark matter central density in the Eddington inspired Born-Infeld (EiBI) gravity with input from Weyl gravity
• Note on the luminosity distance
• Isotropic uncharged model with compactness and stable con gurations
• Upper Limit on the Central Density of Dark Matter in the Eddington inspired Born-Infield (EiBI) Gravity
• On the galactic rotation curves problem within an axisymmetric approach
• Modelling Einstein cluster using Einasto profile
• Mass decomposition of SLACS lens galaxies in Weyl conformal gravity
• The Maxwell--Boltzmann gas with non-standard self--interactions: a novel approach to galactic dark matter
• Compact stellar model in higher torsion gravitational theory
• Periodic Orbits and Gravitational Wave Radiation of Black Hole in EGB gravity
• Exact Solutions with Asymptotically Flat Galactic Rotation Curves
• On the Stability of (M theory) Stars against Collapse : Role of Anisotropic Pressures