4 papers
Counterexamples to the Lorentzian Calderón problem
Lauri Oksanen, Miika Sarkkinen
We show that two non-isometric, smooth, globally hyperbolic Lorentzian metrics can have the same hyperbolic Dirichlet-to-Neumann map on an infinite cylinder with timelike boundary.
Bulk metric reconstruction from entanglement data via minimal surface area variations
Niko Jokela, Tony Liimatainen, Miika Sarkkinen +1
We investigate the reconstruction of asymptotically anti-de Sitter (AdS) bulk geometries from boundary entanglement entropy data for ball-shaped entangling regions. By deriving an…
Recovery of a matrix valued potential for the wave equation on stationary spacetimes
Spyridon Filippas, Lauri Oksanen, Miika Sarkkinen
We study the problem of recovering a time dependent matrix valued potential on a globally hyperbolic manifold from the knowledge of the source to solution map of a wave equation in…
On the interplay between the light ray and the magnetic X-ray transforms
Lauri Oksanen, Gabriel P. Paternain, Miika Sarkkinen
We study the light ray transform acting on tensors on a stationary Lorentzian manifold. Our main result is injectivity up to the natural obstruction as long as the associated magne…