MathDB6 problems
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Source-independence conjecture for ultra-relativistic scattering
Consider the ultra-relativistic scattering problem, in which compact objects or particles collide with kinetic energy much greater than their rest-mass energy. Source-independence…
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Critical-impact-parameter conjecture for maximal luminosity in ultrarelativistic black-hole scattering
Let two black holes scatter with impact parameter , and let denote the critical impact parameter at the threshold of formation of a central black hole; for larger imp…
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Integrability conjecture for the universality of binary black hole merger waveforms
Binary black hole (BBH) merger waveforms are gravitational-wave signals produced during the coalescence of two black holes; integrability means that the underlying dynamical system…
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Rosen's conjecture that physical systems cannot radiate gravitational energy
The discussion concerns exact cylindrical wave solutions and calculations of their energy and momentum using gravitational pseudo-tensors. Rosen's conjecture. A physical system can…
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Existence of purely axial torsion-wave solutions in quadratic metric-affine gravity
In quadratic metric-affine gravity, consider metric-compatible spacetimes with purely axial torsion waves and the field equations obtained by varying the action with respect to the…
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Asymptotic massless-graviton conjecture for gravitational waves in anti-de Sitter space
Let be the massless-graviton component of the gravitational wave, and let denote the corresponding comparison field. For a functio…