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- Towards a derivation of the metric tensor in general relativity
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Towards a derivation of the metric tensor in general relativity
One of the central tasks in differential geometry is to make precise the notion of length and angle on a smooth manifold. Unlike $\mathbb R^n$, a general manifold comes with no preferred inner product. The metric tensor is not something … Continue reading
Posted in Mathematical Physics, Notes
Tagged differential geometry, general relativity, manifolds, metric tensor, riemannian geometry, tensors, theoretical physics
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Spacetime as a Lorentzian Manifold
One of the central tasks in differential geometry is to make precise the notion of length and angle on a smooth manifold. Unlike $\mathbb R^n$, a general manifold comes with no preferred inner product. The metric tensor is not something … Continue reading
Posted in Mathematical Physics
Tagged causality, curvature, differential geometry, einstein equation, general relativity, geodesics, lorentzian geometry, stress-energy tensor, tensors, theoretical physics
Comments Off on Spacetime as a Lorentzian Manifold