AdS/CFT correspondence; holography; quantum gravity; blackfolds; black holes; space-time singularities; black branes; string theory; Schrödinger space-time
Armas Jay, Blau Matthias (2015), Blackfolds, Plane Waves and Minimal Surfaces, in JHEP
, 07, 156-156.
Armas Jay, Blau Matthias (2015), New Geometries for Black Hole Horizons, in JHEP
, 07, 048-048.
Armas Jay (2015), Uniqueness of Black Holes with Bubbles in Minimal Supergravity, in Journal of Classical and Quantum Gravity
, 32(4), 045001-045001.
Armas Jay (2014), (Non)-Dissipative Hydrodynamics on Embedded Surfaces, in JHEP
, 1409, 047-047.
Armas Jay, Harmark Troels (2014), Black Holes and Biophysical (Mem)-branes, in Physical Review D
, 90(12), 124022-124022.
Armas Jay, Blau Matthias (2014), Black Probes of Schrödinger Spacetimes, in JHEP
, 1408, 140-140.
Armas Jay, Harmark Troels (2014), Constraints on the effective fluid theory of stationary branes, in JHEP
, 1410, 63-63.
One of the major unsolved problems of theoretical high energy and gravitational physics is the formulation of a consistent theory of quantumgravity and its unification with the other fundamental interactions.One of the main motivations for research in string theory and quantumgravity is the desire to understand the intriguing puzzles and problemsposed by Black Holes, related e.g. to Hawking radiation and the information loss paradox, the origin of black hole entropy and the thermodynamic properties of black holes, and the role of holography in a quantum theory of gravity.While string theory (and some other approaches to quantum gravity) havealready provided various profound new insights into these questions,one is still far from a complete understanding of these issues. In particular, generalisations of the (well understood) AdS/CFT realisation of holography to other asymptotics on the one hand, and the classical and semi-classical properties of black objects in higher dimensions and/or with unconventional (non-asymptotically flat, non-AdS) asymptotics on the other are only incompletely understood at present and still full of puzzles and surprises.This research proposal consists principally of two interrelated projectsaddressing the above issues:Global Aspects of Schrödinger Holography This is a continuation of a previous and ongoing reseach project and builds upon previous work done with and by my former SNF postdoc Jelle Hartong and my former SNF PhD student Blaise Rollier with whom this work will also be carried out. Its aim is to address a number of conceptual and global issues regarding holography for asymptotically Schrödinger space-times that have arisen and are controversial or unresolved in the current literature, in particular regarding the definition of the Schrv?dinger boundary and the nature of the Fefferman-Graham expansion.AdS and Schrödinger Black Branes and Blackfold Techniques The study of black holes and branes in asymptotically Schrödingerspace-times is still in its infancy. The aim of this project is to adapt the recently developed blackfold methodology, a new and remarkably efficient tool for constructing and understanding black objects in gravity, supergravity and string theory, via AdS to Schrödinger asymptotics in order to construct these black objects and learn about their properties. This project requires dual and complementary expertise on global properties of Schrödinger space-times and blackfolds, and will be carried out jointly by myself and my current postdoc Jay Armas who is an expert on blackfold techniques.Both research projects also provide points of entry, and contain subprojectssuitable for, potential new PhD-students.