# Why when we study spherically symmetric objects we don't use the Einstein equations with cosmological constant?

I'm wondering why when we study spherically symmetric objects we neglect the existence of the cosmological constant. His contribution is just to small for "small" scales?

I mean, for a spherically symmetric objects usually we use the schwarzschild and the Einstein equations $$G_{\mu\nu}=\frac{8\pi G}{3} T_{\mu\nu}$$ but not the "full" equations $$G_{\mu\nu}+\Lambda g_{\mu\nu}=\frac{8\pi G}{3} T_{\mu\nu}$$

• The question was probably interested in whether there might be a phase transition that would introduce a qualitative difference even for the smallest possible $\Lambda$ value? Is there some general way to rule this out? Apr 27 '20 at 0:48
• @Kagaratsch I get $R=4\Lambda$, just like for De Sitter space. It would be hard to argue that a constant has a phase transition. Apr 27 '20 at 3:04