Is there a formula for the shrinking of the universe due to object curvature?

  • Thread starter Thread starter benk99nenm312
  • Start date Start date
  • Tags Tags
    Dimension Mass
benk99nenm312
Messages
302
Reaction score
0
Earlier, I had a thought, and I have now been curious about the equation of this thought. Einstein's general relativity obviously states that objects curve and distort space. But the whole reason he came up with a cosmological constant was that he found that the curvature of all of the objects in space would essentially shrink the size of the universe. Is there a formula that represents this concept, and if so, what is it?
 
Physics news on Phys.org
Is there a formula that represents this concept, and if so, what is it?
\ddot V / V = -1/2(\rho+P_x+P_y+P_z)
See http://math.ucr.edu/home/baez/einstein/einstein.html" .
 
Last edited by a moderator:
What exactly do the variables and symbols in the equation stand for? I read the page you gave me, but I still don't fully understand it.

Also, How does this relate to the apparent shrinking of the universe?

Thanks in advance.
 
Just go on to http://math.ucr.edu/home/baez/einstein/node3.html" It should answer your questions better than I could.
 
Last edited by a moderator:
In Philippe G. Ciarlet's book 'An introduction to differential geometry', He gives the integrability conditions of the differential equations like this: $$ \partial_{i} F_{lj}=L^p_{ij} F_{lp},\,\,\,F_{ij}(x_0)=F^0_{ij}. $$ The integrability conditions for the existence of a global solution ##F_{lj}## is: $$ R^i_{jkl}\equiv\partial_k L^i_{jl}-\partial_l L^i_{jk}+L^h_{jl} L^i_{hk}-L^h_{jk} L^i_{hl}=0 $$ Then from the equation: $$\nabla_b e_a= \Gamma^c_{ab} e_c$$ Using cartesian basis ## e_I...
Abstract The gravitational-wave signal GW250114 was observed by the two LIGO detectors with a network matched-filter signal-to-noise ratio of 80. The signal was emitted by the coalescence of two black holes with near-equal masses ## m_1=33.6_{-0.8}^{+1.2} M_{⊙} ## and ## m_2=32.2_{-1. 3}^{+0.8} M_{⊙}##, and small spins ##\chi_{1,2}\leq 0.26 ## (90% credibility) and negligible eccentricity ##e⁢\leq 0.03.## Postmerger data excluding the peak region are consistent with the dominant quadrupolar...
Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. The Relativator was sold by (as printed) Atomic Laboratories, Inc. 3086 Claremont Ave, Berkeley 5, California , which seems to be a division of Cenco Instruments (Central Scientific Company)... Source: https://www.physicsforums.com/insights/relativator-circular-slide-rule-simulated-with-desmos/ by @robphy
Back
Top