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Estimation of mass and cosmological constant of nearby spiral galaxies using galaxy rotation curve
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abstract
An expression for rotational velocity of a test particle around the central mass in the invariant plane is derived. For this, a line element of Schwarzschild de-Sitter space-time is used to study the effect of cosmological constant ($\Lambda$) on the motion of both massive and massless particles. Using rotation curve data of 15 nearby spiral and barred spiral galaxies, we estimated the mass and $\Lambda$ of the galaxy. The mass of the galaxies are found to lie in the range 0.13-7.60 $\times$ 10$^{40}$ kg. The cosmological constant ($\Lambda$) is found to be negative ($-$0.03 to $-$0.10 $\times$ 10$^{-40}$ km$^{-2}$), suggesting the importance of anti-de Sitter space in the local bubble. Possible explanation of the results will be discussed.
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Cited by 1 Pith paper
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Orbits of Massive Particles in a Spherically Symmetric Gravitational Field in View of Cosmological Constant
A Puiseux-series analysis of the Kottler metric produces a taxonomy of massive-particle orbits and a galaxy-rotation-based upper bound on a negative cosmological constant.
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