Discussion Overview
The discussion centers around the formulation of the Riemann Tensor in terms of the metric and its first and second derivatives, specifically seeking a version that does not explicitly include the Christoffel symbols. The conversation touches on theoretical aspects of general relativity and the implications of such a formulation.
Discussion Character
- Technical explanation
- Debate/contested
Main Points Raised
- One participant requests a version of the Riemann Tensor expressed solely in terms of the metric and its derivatives.
- Another participant expresses skepticism about the reliability of finding such an expression online and questions the purpose behind the request.
- A participant acknowledges the possibility of deriving the desired form by substituting the metric into the standard Riemann Tensor formula but expresses concern about potential errors in doing so.
- One participant claims they can demonstrate that Birkhoff's Theorem is incorrect and suggests that this proof would require the specific form of the Riemann Tensor being discussed.
- Another participant challenges this claim, asserting that the first participant has made an error and that personal theories are not supported on the forum.
Areas of Agreement / Disagreement
Participants do not reach a consensus. There is disagreement regarding the validity of the claim about Birkhoff's Theorem, and the discussion remains unresolved with respect to the formulation of the Riemann Tensor.
Contextual Notes
The discussion includes references to potential errors in calculations and the reliability of external sources for mathematical expressions. There is also a mention of the forum's policy against supporting personal theories.