Publications

Smoothness of compact horizons, arXiv:1406.6194 [gr-qc], Annales Henri Poincaré 16 (2015), no. 9, 2163-2214, https://dx.doi.org/10.1007/s00023-014-0371-z

Preprints

Regularity of the boundary of the trapped region in asymptotically Euclidean Riemannian manifolds of arbitrarily large dimensions, arXiv:1805.09596 [math.DG]

Generic metrics satisfy the generic condition, arXiv:1701.07199 [math.DG]

Outermost apparent horizons diffeomorphic to unit normal bundles (with Mattias Dahl), arXiv:1606.08418 [math.DG]

Broken causal lens rigidity and sky shadow rigidity of Lorentzian manifolds, arXiv:1512.05200 [math.DG]

Master’s thesis

Lorentzian Cobordisms, Compact Horizons and the Generic Condition
https://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-146276
Abstract:
We consider the problem of determining which conditions are necessary for cobordisms to admit Lorentzian metrics with certain properties. In particular, we prove a result originally due to Tipler without a smoothness hypothesis necessary in the original proof. In doing this, we prove that compact horizons in a smooth spacetime satisfying the null energy condition are smooth.
We also prove that the “generic condition” is indeed generic in the set of Lorentzian metrics on a given manifold.