What is Active Curvature Mass?

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SUMMARY

The discussion centers on the concept of Active Curvature Mass as described in Schutz's book "Gravitation from Ground Up." It identifies four sources of gravity, with Active Curvature Mass defined as (rho - P/c^2), which contributes to spatial curvature. The user expresses understanding of the other three sources but seeks clarification on this specific term. The reference to Schutz's "A First Course in GR" indicates the foundational nature of the inquiry, emphasizing the importance of grasping this concept for a deeper understanding of General Relativity.

PREREQUISITES
  • Understanding of General Relativity principles
  • Familiarity with concepts of gravitational mass and pressure (P)
  • Knowledge of Einstein's field equations (EF)
  • Basic grasp of spacetime curvature
NEXT STEPS
  • Study the derivation of Active Curvature Mass in Schutz's "Gravitation from Ground Up"
  • Explore Einstein's field equations and their implications for curvature
  • Research the relationship between pressure and gravitational mass in General Relativity
  • Examine the concept of gravito-magnetism and its role in gravitational interactions
USEFUL FOR

Students of General Relativity, physicists interested in gravitational theories, and anyone seeking a deeper understanding of the sources of gravity as outlined in Schutz's works.

wacki
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I’ve just read Schutz: “Gravitation from ground up”. He says that there are 4 (not all independent) sources of gravity:
1. density of active gravitational mass = (rho + 3 P)
2. active curvature mass (generating spatial curvature) = (rho - P/c^2)
3. ordinary momentum (gravito-magnetism)
4. Space-time curvature itself -> manifestation in non-linearity of EF

I’m happy with 1. 3. and 4. But don’t know what he means with 2. Does anyone know what this means?
If you answer, please consider that my (all self-taught) level is not above e.g Schutz: “A first course in GR”.
 
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