We show that the regularity of the gravitational metric tensor cannot be lifted from C0,1 to C1,1 by any C 1,1 coordinate transformation in a neighborhood of a point of shock wave interaction in General Relativity, without forcing the determinant of the metric tensor to vanish a…
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The main purpose of this thesis is to develop a perturbative method for the construction of initial data for the Cauchy problem in General Relativity. More precisely, it considers the problem of constructing solutions to the so-called Extended Constraint Equations (ECEs), based …
Despite the many successes of the current standard model of cosmology on the largest physical scales, it relies on two phenomenologically motivated constituents, cold dark matter and dark energy, which account for approximately 95% of the energy-matter content of the universe. F…
It has often been the case in history that the laws of physics have been used as the framework for understanding and implementing information processing. The tacit assumption is that the laws of physics are fundamental and that the notion of information is derived from these law…
The purpose of this this thesis is to investigate Kaluza-Klein theory, the history of extra dimensions, and provide a tool to those who want to learn about how they are being used today. In doing so, a re-derivation of the bulk of the theory was carried out because much of the o…