What are tensors and how do they relate to General Relativity?

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SUMMARY

Tensors are mathematical objects that generalize scalars and vectors, essential for understanding General Relativity (GR). They provide a framework for describing the curvature of spacetime and the gravitational effects in GR. The discussion highlights the importance of calculus as a prerequisite for grasping the mathematical concepts involved in GR. For further exploration, the resource provided is a comprehensive guide on GR available at the University of California, Riverside's website.

PREREQUISITES
  • Understanding of calculus
  • Familiarity with vectors and scalars
  • Basic knowledge of Special Relativity
  • Conceptual grasp of mathematical physics
NEXT STEPS
  • Study the properties and operations of tensors
  • Explore the mathematical framework of General Relativity
  • Review the provided resource on General Relativity at the University of California, Riverside
  • Learn about the role of curvature in spacetime and its implications in GR
USEFUL FOR

Students of physics, mathematicians, and anyone interested in the foundational concepts of General Relativity and tensor mathematics.

FeynmanMH42
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I know very little about General Relativity, I don't know what a tensor is
and don't know any of the mathematics involved (even though I know
pretty much all of the equations in Special Relativity.)
Could someone please explain tensors to me, or point me to a link that does?
And where can I go to find a mathematical explanation of GR?
 
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