Is Tensor Algebra Necessary to Understand General Relativity?

[jainabhs]

Hi
Please tell me if tensor algebra is neccesary for understanding GR.
I don't know anything about tensor algebra.

Thanks in anticipation

Abhishek Jain

 

[Daverz]

Yes. In fact you'll need tensor calculus. Many GR books introduce the necessary math. See some of the threads about GR books for pointers.

In their book Exploring Black Holes, Taylor & Wheeler work out some of the physics of black holes by starting with the Schwartzschild metric as a fait accompli, so they don't have to introduce tensor calculus. (The derivation is done in almost any book on GR and does require an understanding of tensor calculus.) I think they assume a knowledge of SR, though; their discussion of SR is pretty brief. So you may want to work through their book Spacetime Physics first.

 

[Entropia]

Tensor algebra is an important mathematical tool in understanding General Relativity (GR). While it is not strictly necessary, having a solid understanding of tensor algebra can greatly enhance one's understanding of GR. Tensors are used to describe the curvature of spacetime, which is a fundamental concept in GR. Without a basic understanding of tensor algebra, it may be difficult to fully grasp the concepts and equations used in GR. Additionally, tensor algebra is used in other areas of physics and mathematics, so learning it can be beneficial for a broader understanding of these subjects. However, if you are not familiar with tensor algebra, there are resources available to help you learn the basics before diving into GR. So while it may not be required, it is highly recommended to have a basic understanding of tensor algebra for a deeper understanding of GR.