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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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Tag Archives: general relativity
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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Overdetermined parameter interference in physics
In many areas of physics, a system is described by a small number of fundamental parameters, while the available observations greatly exceed this number. When this occurs, the problem of parameter inference becomes overdetermined. Rather than being a drawback, this … Continue reading
Posted in Expository, Jugend Forscht
Tagged consistency tests, data analysis, general relativity, Kerr spacetime, KTC, parameter interface
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The Kerr Trisector Closure: A project on internal consistency tests of General Relativity
General Relativity describes gravity as the curvature of spacetime. Mass and energy determine this curvature, and physical phenomena such as orbital motion, gravitational radiation, and the propagation of light are governed by the resulting geometry. In this framework gravity is … Continue reading
Posted in Expository, Jugend Forscht, Projects
Tagged black holes, consistency tests, general relativity, gravitational waves, Kerr spacetime, KTC
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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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