Compatibility of General Relativity with SO(3)

  • Context: Graduate 
  • Thread starter Thread starter Ans
  • Start date Start date
  • Tags Tags
    Gr
Click For Summary
SUMMARY

General Relativity (GR) is compatible with the SO(3) symmetry as a subalgebra of the SO(3,1) Lorentz group. Vielbeins, which are essential in the formulation of GR, transform under SO(3,1), indicating that while local rotational symmetry is present, global solutions to Einstein's equations do not necessarily require this symmetry. The discussion emphasizes the need for specificity when addressing the compatibility of GR with SO(3) symmetry.

PREREQUISITES
  • Understanding of General Relativity principles
  • Familiarity with the Lorentz group SO(3,1)
  • Knowledge of vielbeins and their role in GR
  • Concept of rotational symmetry in physics
NEXT STEPS
  • Research the role of vielbeins in General Relativity
  • Study the properties of the Lorentz group SO(3,1)
  • Explore the implications of rotational symmetry in solutions to Einstein's equations
  • Investigate the relationship between local and global symmetries in physics
USEFUL FOR

The discussion is beneficial for theoretical physicists, students of General Relativity, and researchers exploring the interplay between symmetry and gravitational theories.

Ans
Messages
22
Reaction score
2
I have question, is GR compatible with SO(3)?
 
Astronomy news on Phys.org
In what sense? Vielbeins transform under so(3,1), having so(3) as subalgebra. But globally, a solution of the einsteineqn's doesn't need to possesses rotational symmetry. You should be a bit more specific :)
 
Thanks.
What about compatibility to SO(3) symmetry Lorentz group?
 

Similar threads

Graduate Jackson: justification of the Poynting vector by GR
  • · Replies 38 ·
2
Replies
38
Views
2K
Undergrad Are there non-smooth metrics for spacetime (without singularities)?
  • · Replies 3 ·
Replies
3
Views
2K
Undergrad Compatibility of Classical Electromagnetism & Relativity
  • · Replies 5 ·
Replies
5
Views
2K
High School The Relationship Between Function and Ordering Relation
  • · Replies 8 ·
Replies
8
Views
2K
Programs Should I do a math or an astronomy double major for general relativity?
  • · Replies 2 ·
Replies
2
Views
2K
Stargazing 3D/2D Universe Model (DSO, stars etc.)
  • · Replies 1 ·
Replies
1
Views
2K
Graduate Why are General relativity texts so much more formal?
  • · Replies 28 ·
Replies
28
Views
3K
Graduate Physical properties of the vacuum in GR vs. QFT
  • · Replies 15 ·
Replies
15
Views
919
Undergrad "Violation of the Equivalence Principle in Disk Galaxies" newly interpreted
  • · Replies 7 ·
Replies
7
Views
1K
Undergrad Energy conditions and non-physical phenomena
  • · Replies 5 ·
Replies
5
Views
1K