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An expression for rotational velocity of a test particle around the centralmass in the invariant plane is derived. For this, a line element ofSchwarzschild de-Sitter space-time is used to study the effect of cosmologicalconstant ($\Lambda$) on the motion of both massive and massless particles.Using rotation curve data of 15 nearby spiral and barred spiral galaxies, weestimated the mass and $\Lambda$ of the galaxy. The mass of the galaxies arefound to lie in the range 0.13-7.60 $\times$ 10$^{40}$ kg. The cosmologicalconstant ($\Lambda$) is found to be negative ($-$0.03 to $-$0.10 $\times$10$^{-40}$ km$^{-2}$), suggesting the importance of anti-de Sitter space in thelocal bubble. Possible explanation of the results will be discussed.

Estimation of mass and cosmological constant of nearby spiral galaxies using galaxy rotation curve