Journal ArticleDOI
Initial-value problem of general relativity. III. Coupled fields and the scalar-tensor theory
TLDR
In this paper, the initial value problem of general relativity is treated in the case where the external sources are electromagnetic or neutrino fields, and the resulting equations in each case form a quasilinear elliptic system of a type that has been treated extensively.Abstract:
The initial-value problem of general relativity is treated in the case where the external sources are electromagnetic or neutrino fields. Taking into account the initial conditions that must be satisfied by these fields, we show that the resulting equations in each case form a quasilinear elliptic system of a type that has been treated extensively in previous work. We also treat the initial-value problem of the scalar-tensor theory of gravitation. Throughout this work we use first-order "canonical" gravitational variables. The principal mathematical tools are conformal transformations and a covariant decomposition of symmetric tensors.read more
Citations
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Journal ArticleDOI
Some surface effects in the hydrodynamic model of metals
TL;DR: In this paper, the authors disencumber the proper heuristic functions of the model from such misconceptions, avoidable in the light of the classic papers by Block (1933), Jensen (1937) and Samoilovich (1945).
Book ChapterDOI
Shape Dynamics. An Introduction
TL;DR: Shape dynamics as mentioned in this paper is a completely background independent universal framework of dynamical theories from which all absolute elements have been eliminated, for particles, only the variables that describe the shapes of the instantaneous particle configurations are dynamical.
Journal ArticleDOI
Scale-invariant gravity: geometrodynamics
TL;DR: Conformal gravity as discussed by the authors is a scale-invariant theory of gravity, which closely resembles the geometrodynamical formulation of general relativity (GR), but its cosmology and quantization will be completely different.
Journal ArticleDOI
On a Penrose Inequality with Charge
Gilbert Weinstein,Sumio Yamada +1 more
TL;DR: In this article, a time-symmetric asymptotically flat initial data set to the Einstein-Maxwell Equations is constructed, which satisfies the following properties:
Journal ArticleDOI
The York map is a canonical transformation
TL;DR: The York mapping from the space of freely chosen conformal data to the constraint-satisfying physical data is shown to be a canonical transformation for both the vacuum Einstein theory and the Einstein-Maxwell theory as mentioned in this paper.