A singularity theorem for Einstein–Klein–Gordon theory
نویسندگان
چکیده
منابع مشابه
A Singularity Theorem for Twistor Spinors
We study spin structures on orbifolds. In particular, we show that if the singular set has codimension greater than 2, an orbifold is spin if and only if its smooth part is. On compact orbifolds, we show that any non-trivial twistor spinor admits at most one zero which is singular unless the orbifold is conformally equivalent to a round sphere. We show the sharpness of our results through examp...
متن کاملA Riemann Singularity Theorem for Integral Curves
We prove results generalizing the classical Riemann Singularity Theorem to the case of integral, singular curves. The main result is a computation of the multiplicity of the theta divisor of an integral, nodal curve at an arbitrary point. We also suggest a general formula for the multiplicity of the theta divisor of a singular, integral curve at a point and present some evidence that this formu...
متن کاملA singularity theorem based on spatial averages
Inspired by Raychaudhuri’s work, and using the equation named after him as a basic ingredient, I prove a new singularity theorem: open non-rotating everywhere expanding universes with non-vanishing spatial average of the matter variables are totally geodesically incomplete to the past. Another way of stating the same is that, under the same conditions, any singularity-free model must have a van...
متن کاملA New Type of Singularity Theorem
A new type of singularity theorem, based on spatial averages of physical quantities, is presented and discussed. Alternatively, the results inform us of when a spacetime can be singularity-free. This theorem provides a decisive observational difference between singular and non-singular, globally hyperbolic, open cosmological models.
متن کاملAn Index Theorem for Modules on a Hypersurface Singularity
A topological interpretation of Hochster’s Theta pairing of two modules on a hypersurface ring is given in terms of linking numbers. This generalizes results of M. Hochster and proves a conjecture of J. Steenbrink. As a corollary we get that the Theta pairing vanishes for isolated hypersurface singularities in an odd number of variables, as was conjectured by H. Dao. 2000 Math. Subj. Class. 32S...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: General Relativity and Gravitation
سال: 2018
ISSN: 0001-7701,1572-9532
DOI: 10.1007/s10714-018-2446-5