I think that is a fundamental question of why we need Tensor when dealing with GR?(adsbygoogle = window.adsbygoogle || []).push({});

Quoting from the text book (Relativity, Gravitation and Cosmology: A Basic Introduction)

Tensors are mathematical object having definite transformation properties under coordinate transformations. The simplest examples are scalars and vector components. The principle of relativity says that physics equations should be covariant under coordinate transformation.

To ensure that this principle is automatically satisfied, all one need s to do is to write physics equation in terms of tensors.

So, what is, if I say don't have definite transformation properties?

Any example about if I am not going to choose Tensors as my tool, what trouble will I get?

Thanks

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# Why use Tensor in GR?

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