Transverse–tracefree (TT–) tensors on (R, gab), with gab an asymptotically flat metric of fast decay at infinity, are studied. When the source tensor from which these TT tensors are constructed has fast fall–off at infinity, TT tensors allow a multipole–type expansion. When gab has no conformal Killing vectors (CKV’s) it is proven that any finite but otherwise arbitrary set of moments can be re...

Diffuse groundwater discharge (also known as vertical leakage) forms an important and poorly constrained component of the water balance of the Great Artesian Basin (GAB), Australia’s largest groundwater resource. Around the south-western margin of the GAB, the diffuse leakage from the artesian aquifer discharges into the unconfined water table and subsequently into the atmosphere via evapotrans...

Perturbation analysis provides the framework for an understanding of the effects of a small mass moving through a “background” spacetime. The analysis begins with a background spacetime metric gab which is usually a vacuum solution of the Einstein equations Gab(g) = 0. An object of small mass μ then disturbs the geometry by an amount hab = O(μ) which is governed by the perturbed Einstein equati...

At a fixed point in spacetime (say, x0), gravitational phase space consists of the space of symmetric matrices {F ab} [corresponding to the canonical momentum π(x0)] and of symmetric matrices {Gab} [corresponding to the canonical metric gab(x0)], where 1 ≤ a, b ≤ n, and, crucially, the matrix {Gab} is necessarily positive definite, i.e. ∑ uGabu b > 0 whenever ∑ (ua)2 > 0. In an alternative quan...

At a fixed point in spacetime (say, x0), gravitational phase space consists of the space of symmetric matrices {F ab} [corresponding to the canonical momentum π(x0)] and of symmetric matrices {Gab} [corresponding to the canonical metric gab(x0)], where 1 ≤ a, b ≤ n, and, crucially, the matrix {Gab} is necessarily positive definite, i.e. ∑ uGabu b > 0 whenever ∑ (ua)2 > 0. In an alternative quan...

The Games and Amusements Board (GAB) of the Philippines was subject this study which aimed to determine factors that have most impact on adoption artificial intelligence (AI). In accordance with combined constructs Technology Acceptance Model (TAM) Unified Theory Use (UTAUT), a survey questionnaire administered sample 99 GAB officials employees. To analyze data, stepwise multiple linear regress...