Spacetime singularities, topological censorship, and CMC existence results

1. Gregory Galloway and Eric Ling, Rigidity aspects of Penrose’s singularity theorem, to appear in Comm. Math. Phys. (2024). Link. 

2. Eric Ling and Argam Ohanyan, Examples of cosmological spacetimes without CMC Cauchy surfaces, Lett. Math. Phys. 114 (2023). Link.

3. Gregory Galloway and Eric Ling. The codimension 2 null cut locus with applications to spacetime topology, J. Math. Phys. 63 (2022). Editor’s Pick. Link.

4. Gregory Galloway and Eric Ling, Remarks on the existence of CMC Cauchy surfaces. GeLoCo Conference Proceedings. Developments in Lorentzian Geometry. (2022). Link.

5. Martin Lesourd and Eric Ling, Topological censorship in spacetimes compatible with Λ > 0, Ann. H. Poincaré 23 (2022). Link.

6. Gregory Galloway, Melanie Graf, and Eric Ling, A conformal approach to AdS_2xS^n-1 spacetimes, Ann. H. Poincaré 21 (2020). Link.

7. Gregory Galloway and Eric Ling, Existence of CMC Cauchy surfaces from a spacetime curvature condition, Gen. Rel. Grav. 50 (2018). Link.

8. Piotr Chruściel, Gregory Galloway, and Eric Ling, Weakly trapped surfaces in asymptotically de Sitter spacetimes, Class. Quantum Grav. 35 (2018). Link.

9. Gregory Galloway and Eric Ling, Topology and singularities in cosmological spacetimes obeying the null energy condition, Comm. Math. Phys. 360 (2018). Link.

Low regularity Lorentzian geometry

10. Eric Ling, The C^0-inextendibility of some spatially flat FLRW spacetimes, preprint arXiv:2404.08257 (2024). Link.

11. Eric Ling, A lower semicontinuous time separation function for C^0 spacetimes, Ann. H. Poincaré (2024). Link.

12. Eric Ling, Aspects of C^0 causal theory, Gen. Rel. Grav. 52 (2020). Link.

13. Melanie Graf and Eric Ling, Maximizers in Lipschitz spacetimes are either timelike or null, Class. Quantum Grav. 35 (2018). Link.

14. Gregory Galloway, Eric Ling, and Jan Sbierski, Timelike completeness as an obstruction to C^0-extensions, Comm. Math. Phys. 359 (2018). Link.

15. Gregory Galloway and Eric Ling, Some remarks on the C^0-inextendibility of spacetimes, Ann. H. Poincaré 18 (2017). Link.

Extendibility of FLRW spacetimes with applications to cosmology

16. Eric Ling and Annachiara Piubello, Anisotropic examples of inflation-generating initial conditions for the big bang, 2023 Minkowski meeting volume on foundations of spacetime physics (2024). Link.

17. Ghazal Geshnizjani, Eric Ling, Jerome Quintin, On the initial singularity and extendibility of flat quasi-de Sitter spacetimes, J. High Energy Phys. 10 (2023). Link. Appeared as an article in Quanta Magazine.

18. Eric Ling and Annachiara Piubello, On the asymptotic assumptions for Milne-like spacetimes, Gen. Re. Grav. 55 (2023). Link.

19. Eric Ling, Remarks on the cosmological constant appearing as an initial condition for Milne-like spacetimes, Gen. Re. Grav. 54 (2022). Link.

20. Eric Ling, The Big Bang is a Coordinate Singularity for k = −1 Inflationary FLRW Spacetimes, Found. of Phys. 50 (2020). Link.

The discrete Dirac spectrum of general-relativistic hydrogen models

21. Elie Kapengut, Michael Kiessling, Eric Ling, and Shadi Tahvildar-Zadeh, On the discrete Dirac spectrum of general-relativistic hydrogenic ions with anomalous magnetic moment, preprint arXiv:2401.15802 (2024). Link.

22. Michael Kiessling, Eric Ling, and Shadi Tahvildar-Zadeh, On the discrete Dirac spectrum of a point electron in the zero-gravity Kerr-Newman spacetime, J. Math. Phys. 63 (2022). Editor’s Pick. Link.

23. Michael Kiessling, Eric Ling, and Shadi Tahvildar-Zadeh, The point spectrum of the Dirac Hamiltonian on the zero-gravity Kerr-Newman spacetime, Int. J. Mod. Phys. D. (2021). Link.