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I mean, what's "general relativity but without the cosmological constant term" (##G_{\mu \nu}=\kappa T_{\mu \nu}##) called?
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I Einstein's General Relativity w/o Cosmological Constant
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General relativity without the cosmological constant is simply referred to as the Einstein Field Equation. This formulation occurs when the cosmological constant term is set to zero or integrated into the stress-energy tensor. The discussion emphasizes that removing the cosmological constant does not alter the fundamental nature of the equations. The focus remains on the relationship between spacetime geometry and matter-energy content. Thus, the essence of general relativity is preserved even without the cosmological constant.