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'''The Tully-Fisher relation''' or '''The Tully-Fisher law''' is expression of observations showing that for disk galaxies the fourth power of the circular velocity of stars around the core of the galaxy is proportional to the luminosity L.  

'''The Tully-Fisher relation''' or '''The Tully-Fisher law''' is expression of observations showing that for ''disk galaxies'' the fourth power of the circular velocity of stars around ''the core of the galaxy''<ref name="starlight"/> is proportional to the luminosity <math>L</math>.<ref name="Dark Matter"/> [[Moshe Carmeli|M.Carmeli]] was able to derive this well-known relation after 5-dimensional modification and extension of [[General theory of relativity|Einstein's general theory]] albeit in fact he showed that the relationship was with the ''mass'' of the galaxy which is assumed to relate to its ''luminosity''.<ref name="starlight">{{cite book| last = Hartnett| first = John| authorlink = | title = Starlight, Time and the New Physics| publisher = Creation Ministries International| series = | year = 2007| doi = | isbn = 978-0-949-906687|pages=47-54|quote=...Technically, what astronomers are doing is measuring the rotation speeds of the outermost tracer gases on the edge of the disks of stars. In these regions the rotation curves are usually constant as a function of radial distance, so one can imagine this to be a rotation speed for the whole galaxy.}}</ref> The Tully-Fisher relation is considered to be so reliable in astronomy that it is routinely used to measure the distance to galaxy, because it gives a measure of the brightness of the source.<ref name="starlight"/>   

==The Tully-Fisher relation and halo dark matter==

==The Tully-Fisher relation and halo dark matter==

Since L is proportional to the mass M of the galaxy, it follows that the fourth power of the circular velocity is proportional to M. Newtonian mechanics, however, states that the square of the circular velocity is proportional to M. In order to rectify this discrepancy, astronomers assume the existence of halo [[dark matter]].<ref name="Dark Matter">{{cite web|author=Silvia Behar, Moshe Carmeli|date=19 Jul 1999|title=Derivation of the Tully-Fisher Law from General Relativity Theory: Doubts about the Existence of Halo Dark Matter|journal=Int.J.Theor.Phys.|volume=|issue=39|pages=1397-1404|doi=|url=http://arxiv.org/abs/astro-ph/9907244v1}}</ref>

Since <math>L</math> is proportional to the mass <math>M</math> of the galaxy, it follows that the fourth power of the circular velocity is proportional to <math>M</math>. Newtonian mechanics, however, states that the square of the circular velocity is proportional to <math>M</math>. In order to rectify this discrepancy, astronomers assume the existence of halo [[dark matter]].<ref name="Dark Matter">{{cite web|author=Silvia Behar, Moshe Carmeli|date=19 Jul 1999|title=Derivation of the Tully-Fisher Law from General Relativity Theory: Doubts about the Existence of Halo Dark Matter|journal=Int.J.Theor.Phys.|volume=|issue=39|pages=1397-1404|doi=|url=http://arxiv.org/abs/astro-ph/9907244v1}}</ref>

==References==

==References==