The causal set theory (CST) approach to quantum gravity postulates that at the most
fundamental level, spacetime is discrete, with the spacetime continuum replaced by locally …

I review Lorentzian causality theory paying particular attention to the optimality and
generality of the presented results. I include complete proofs of some foundational results …

The idea that events obey a definite causal order is deeply rooted in our understanding of
the world and at the basis of the very notion of time. But where does causal order come from …

We propose that space-time at the smallest scales is in reality a causal set: a locally finite set
of elements endowed with a partial order corresponding to the macroscopic relation that …

Teleparallel Gravity (TG) is an alternative theory for gravitation, which is equivalent to
General Relativity (GR). However, it is conceptually different. For example in GR geometry …

Bridging the gap between modern differential geometry and the mathematical physics of
general relativity, this text, in its second edition, includes new and expanded material on …

Time has a fundamentally different character in quantum mechanics and in general relativity.
In quantum theory events unfold in a fixed order while in general relativity temporal order is …

Suppose one has two spacetimes (M, g) and (M', g') together with a bij ection f: M-M', where
both f and 1" 1 preserve continuous timelike curves; ie, if 1': 1-M is a continuous time like …

This book reviews in a unified manner global aspects in gravitation theory and cosmology,
emphasizing the basic heme that the very nature of the gravitational field is such that global …

This edition of the invaluable text Modern Differential Geometry for Physicists contains an
additional chapter that introduces some of the basic ideas of general topology needed in …