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- A Consistency Test for Kerr Black Holes via Orbital Motion, Ringdown, and Imaging
- Towards a derivation of the metric tensor in general relativity
- Overdetermined parameter interference in physics
- A Long-Term Narrowband Astrophotography Project
- The Kerr Trisector Closure: A project on internal consistency tests of General Relativity
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Category Archives: Mathematical Physics
A Consistency Test for Kerr Black Holes via Orbital Motion, Ringdown, and Imaging
Kerr Trisector Closure (KTC) is a consistency test for the Kerr hypothesis that tries to stay honest about what is actually being inferred from data. The guiding principle is simple: if the exterior spacetime of an astrophysical, stationary, uncharged black … Continue reading
Posted in Expository, Jugend Forscht, Mathematical Physics
Tagged Black Hole Imaging, Black Hole Ringdown, black holes, consistency tests, general relativity, gravitational waves, Kerr family, Kerr geometry, Kerr hypothesis, Kerr metrics, Kerr parameters, Kerr spacetime, KTC, No-Hair Theorem, Spacetime Geometry, Strong-Field Gravity, theoretical physics
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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
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