1993
DOI: 10.1103/physrevd.48.3762
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Exponential potential versus dark matter

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Cited by 26 publications
(28 citation statements)
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“…Eckhardt [8] uses a combination of two exponential terms and gives a detailed explanation of the kinematics of galaxies and galaxy clusters, without dark matter models, using arguments similar to those of Sanders.…”
Section: Discussionmentioning
confidence: 99%
See 1 more Smart Citation
“…Eckhardt [8] uses a combination of two exponential terms and gives a detailed explanation of the kinematics of galaxies and galaxy clusters, without dark matter models, using arguments similar to those of Sanders.…”
Section: Discussionmentioning
confidence: 99%
“…We have not fixed the gauge yet. Using the approximation (7), and the approximated expression of the scalar potential (8), the field equations (3) and (4) become, respectively,…”
Section: The Weak Field Limit and The Solution Of Linearized Equationsmentioning
confidence: 99%
“…In the past, different authors have used point solutions, Eq. (6), to solve the missing mass problem encountered in the rotation velocities of spirals and in galaxy cluster dynamics [15,16]. These models were used as an alternative to avoid dark matter.…”
Section: Discussionmentioning
confidence: 99%
“…There are stringent constraints on the possible λ-α values determined by measurements on local scales [14]. In the past the above solutions have been used to solve the missing mass problem in spirals [15,16] as an alternative to considering a distribution of dark matter. This was done assuming that most of the galactic mass is located in the galactic center, and then considering the center to be a point source.…”
Section: Point-like Masses and Multipole Expansionmentioning
confidence: 99%
“…Motivated by our interest in modeling the effect of an exponential potential (Eckhardt 1993), we have developed a Green's function for any potential that can be represented by a Laurent series. Such a general representation encompasses a Newtonian potential, a linear potential (Mannheim 1993), an exponential potential, a Yukawa potential, and just about any conceivable form for a potential.…”
Section: Introductionmentioning
confidence: 99%