Undergrad Einstein's General Relativity w/o Cosmological Constant

Click For Summary
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.
not my name
Messages
8
Reaction score
1
I mean, what's "general relativity but without the cosmological constant term" (##G_{\mu \nu}=\kappa T_{\mu \nu}##) called?
 
Last edited:
Physics news on Phys.org
The Einstein Field Equation. All you've done is set ##\Lambda=0## or subsume the term into the stress-energy tensor.
 
Reply
  • Like
Likes topsquark and vanhees71

Thread 'Question about Parallel Transport'

In this video I can see a person walking around lines of curvature on a sphere with an arrow strapped to his waist. His task is to keep the arrow pointed in the same direction How does he do this ? Does he use a reference point like the stars? (that only move very slowly) If that is how he keeps the arrow pointing in the same direction, is that equivalent to saying that he orients the arrow wrt the 3d space that the sphere is embedded in? So ,although one refers to intrinsic curvature...
View full post »

Similar threads

Undergrad Einstein Field Eqns: East/West Coast Metrics
  • · Replies 6 ·
Replies
6
Views
2K
Undergrad Cosmological Constant Term in Einstein Equations
  • · Replies 2 ·
Replies
2
Views
2K
Undergrad Question about cosmological constant
  • · Replies 43 ·
2
Replies
43
Views
5K
Graduate Reconciling units for the Einstein and Landau-Lifshitz pseudotensors
  • · Replies 3 ·
Replies
3
Views
1K
Graduate Can gravitational energy be localized in the case of plane waves?
  • · Replies 8 ·
Replies
8
Views
2K
Graduate Zeroth law of black hole thermodynamics
  • · Replies 9 ·
Replies
9
Views
1K
Graduate Dirac's "comprehensive action principle" -- independent equations
  • · Replies 1 ·
Replies
1
Views
578
Undergrad Can We Explain the Cosmological Constant as a Tensorial Concept?
  • · Replies 12 ·
Replies
12
Views
2K
Graduate Boundary conditions in ##\delta I=0## to derive Einstein's equations
  • · Replies 8 ·
Replies
8
Views
1K
Graduate Dirac "GTR" Eq. 27.11 -- how to show that a boundary term vanishes?
  • · Replies 4 ·
Replies
4
Views
1K