Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Global Non-Linearly Stable Large-Data Solutions to the Einstein Scalar
  Field System   I study a class of global, causal geodesically complete solutions to the
spherically symmetric Einstein scalar field (SSESF) system . Extending results
of Luk-Oh (Quantitative Decay Rates for Dispersive Solutions to the
Einstein-Scalar Field System in Spherical Symmetry, arXiv:1402.2984),
Luk-Oh-Yang (Solutions to the Einstein-Scalar-Field System in Spherical
Symmetry with Large Bounded Variation Norms, arXiv:1605.03893), I provide new
bounds controlling higher derivatives of both the metric components of the
solution and the scalar field itself for large data solutions to SSESF.
Moreover, by constructing a particular set of generalized wave-coordinates, I
show that, assuming sufficient regularity of the data, these solutions are
globally non-linearly stable to non-spherically symmetric perturbations by
recent results of Luk and Oh. In particular, I demonstrate the existence of a
large collection of non-trivial examples of large data, globally nonlinearly
stable, dispersive solutions to the Einstein scalar field system.

21
The categories of this paper are: adap-org
14
The categories of this paper are: math-ph
37
The categories of this paper are: supr-con
26
The categories of this paper are: bayes-an
6
The categories of this paper are: astro-ph
24
The categories of this paper are: dg-ga
28
The categories of this paper are: alg-geom
33
The categories of this paper are: plasm-ph
19
The categories of this paper are: eess
22
The categories of this paper are: chao-dyn
13
The categories of this paper are: quant-ph
27
The categories of this paper are: comp-gas
8
The categories of this paper are: hep-ex
15
The categories of this paper are: nucl-ex
29
The categories of this paper are: funct-an
4
The categories of this paper are: cond-mat