An Uneven Vacuum Energy Fluid as $\Lambda$, Dark Matter, MOND and Lens

Abstract

Various TeVeS-inspired and f(R)-inspired theories of gravity have added an interesting twist to the search for dark matter and vacuum energy, modifying the landscape of astrophysics day by day. These theories can be together called a {\bf N}on-{\bf u}niform Dark Energy fluid (a Nu-Lambda fluid or a $\mathbf{V}\Lambda$ fluid); a common thread of these theories, according of an up-to-date summary by HZL \cite{Halle}, is a non-uniform vector field, describing an uneven vacuum energy fluid. The so-called "alternative" gravity theories are in fact in the standard GR gravity framework except that the cosmological "constant" is replaced by a non-trivial non-uniform vacuum energy, which couples the effects of Dark Matter and Dark Energy together by a single field. Built initially bottom-up rather than top-down as most gravity theories, TeVeS-inspired theories are healthily rooted on empirical facts. Here I attempt a review of some sanity checks of these fast-developing theories from galaxy rotation curves, gravitational lensing and cosmic acceleration. I will also discuss some theoretical aspects of the vacuum energy, and point out some analogies with electromagnetism and the Casimir effect.

Invited Brief (15p) Review for Modern Physics Letters A. Added references and a discussion of Kuzmin lens. Comments Very Welcome

References in corpus (6)

• On the Proof of Dark Matter, the Law of Gravity and the Mass of Neutrinos
• Velocity dispersion around ellipticals in MOND
• Coincidences of Dark Energy with Dark Matter -- Clues for a Simple Alternative?
• Strong lensing probability for testing TeVeS theory
• Can F(R)-gravity be a viable model: the universal unification scenario for inflation, dark energy and dark matter
• Neutrinos as galactic dark matter in the Ursa Major galaxy group?

Cited by in corpus (4)

• Milky Way potentials in CDM and MOND. Is the Large Magellanic Cloud on a bound orbit?
• Galactic rotation curves, the baryon-to-dark-halo-mass relation and space-time scale invariance
• Effective Fluid Description of the Dark Universe
• An ecological approach to problems of Dark Energy, Dark Matter, MOND and Neutrinos