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motivations for MOND/TeVeS

Glenn Starkman 29.07.2008

  • C_l's are not independent because S_{1/2} is low
  • cosmic variance for alternative model not known if model not known
  • the antipodal anticorrelation is stronger in the full sky
  • other facts at the scale of about 1 matter horizon radius:
    • Pioneer anomaly
    • Omega_Lambda / onset of acceleration
    • DM
  • so many different strange things at a single scale suggest a single explanation
  • MOND is not relativistic, not dynamic, by its nature cannot say what to expect in many situations
  • TeVeS - tensor vector scalar theory - Bekenstein et al.
    • go from \Del . \Del \phi = 4 \pi G to \Del . (\mu \left(\frac{\Del\phi}{a_o}\right) \Del \phi) = 4\pi G
    • MOND -> TeVeS - dynamical and geodesic metrics are no longer the same (in GR they are the same)
    • Action is needed
    • subset of TeVeS are GEA(?) - generalised Einstein ether theories

  • DGP (example)
  • Birkhoff's Theorem important in all of this.
Error during latex2img:
ERROR: problems during latex
INPUT:
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\usepackage{amsmath}
\usepackage[normal]{xcolor}
\setlength{\mathindent}{0cm}
\definecolor{teal}{rgb}{0,0.5,0.5}
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\definecolor{lime}{rgb}{0,1,0}
\definecolor{maroon}{rgb}{0.5,0,0}
\definecolor{silver}{gray}{0.75}
\usepackage{latexsym}
\begin{document}
\pagestyle{empty}
\pagecolor{white}
{
\color{black}
\begin{math}\displaystyle \Del . \Del \phi = 4 \pi G\end{math}
}
\clearpage
{
\color{black}
\begin{math}\displaystyle \Del . (\mu \left(\frac{\Del\phi}{a_o}\right) \Del \phi) = 4\pi G\end{math}
}
\clearpage
\end{document}
STDERR:
This is pdfTeX, Version 3.14159265-2.6-1.40.17 (TeX Live 2016/Debian) (preloaded format=latex)
 restricted \write18 enabled.
entering extended mode
(/tmp/_l6b_7GHIO/JHmrNkcQXX
LaTeX2e <2017/01/01> patch level 3
Babel <3.9r> and hyphenation patterns for 30 language(s) loaded.
(/usr/share/texlive/texmf-dist/tex/latex/base/article.cls
Document Class: article 2014/09/29 v1.4h Standard LaTeX document class
(/usr/share/texlive/texmf-dist/tex/latex/base/fleqn.clo)
(/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo))
(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty
For additional information on amsmath, use the `?' option.
(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty
(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty))
(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty)
(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty))
(/usr/share/texlive/texmf-dist/tex/latex/xcolor/xcolor.sty
(/usr/share/texlive/texmf-dist/tex/latex/graphics-cfg/color.cfg)
(/usr/share/texlive/texmf-dist/tex/latex/graphics-def/dvips.def))
(/usr/share/texlive/texmf-dist/tex/latex/base/latexsym.sty)
No file JHmrNkcQXX.aux.
(/usr/share/texlive/texmf-dist/tex/latex/base/ulasy.fd)
! Undefined control sequence.
l.17 \begin{math}\displaystyle \Del
                                    . \Del \phi = 4 \pi G\end{math}
! Undefined control sequence.
l.17 \begin{math}\displaystyle \Del . \Del
                                           \phi = 4 \pi G\end{math}
[1]
! Undefined control sequence.
l.22 \begin{math}\displaystyle \Del
                                    . (\mu \left(\frac{\Del\phi}{a_o}\right)...

! Undefined control sequence.
 \Del 
                \phi 
l.22 ...yle \Del . (\mu \left(\frac{\Del\phi}{a_o}
                                                  \right) \Del \phi) = 4\pi ...

! Undefined control sequence.
l.22 ...\mu \left(\frac{\Del\phi}{a_o}\right) \Del
                                                   \phi) = 4\pi G\end{math}
[2] (./JHmrNkcQXX.aux) )
(see the transcript file for additional information)
Output written on JHmrNkcQXX.dvi (2 pages, 856 bytes).
Transcript written on JHmrNkcQXX.log.
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Topic revision: r1 - 29 Jul 2008, BoudRoukema
 
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