Illusions of general relativity in Brans-Dicke gravity

Contrary to common belief, the standard tenet of Brans-Dicke theory reducing to general relativity when omega tends to infinity is false if the trace of the matter energy-momentum tensor vanishes. The issue is clarified in a new approach using conformal transformations. The otherwise unaccountable limiting behavior of Brans-Dicke gravity is easily understood in terms of the conformal invariance of the theory when the sources of gravity have radiation-like properties. The rigorous computation of the asymptotic behavior of the Brans-Dicke scalar field is straightforward in this new approach.Comment: 16 pages, LaTeX, to appear in Physical Review

An inverse approach to Einstein's equations for non-conducting fluids

We show that a flow (timelike congruence) in any type $B_{1}$ warped product spacetime is uniquely and algorithmically determined by the condition of zero flux. (Though restricted, these spaces include many cases of interest.) The flow is written out explicitly for canonical representations of the spacetimes. With the flow determined, we explore an inverse approach to Einstein's equations where a phenomenological fluid interpretation of a spacetime follows directly from the metric irrespective of the choice of coordinates. This approach is pursued for fluids with anisotropic pressure and shear viscosity. In certain degenerate cases this interpretation is shown to be generically not unique. The framework developed allows the study of exact solutions in any frame without transformations. We provide a number of examples, in various coordinates, including spacetimes with and without unique interpretations. The results and algorithmic procedure developed are implemented as a computer algebra program called GRSource.Comment: 9 pages revtex4. Final form to appear in Phys Rev

Valor nutricional do mel e pólen de abelhas sem ferrão da região Amazônica

Avaliou-se os constituintes nutricionais de amostras do mel e pólen das espécies Melipona seminigra merrillae (jandaíra), Melipona compressipes manaosensis (jupará), Melipona rufiventris paraensis (uruçu boca de ralo), provenientes do meliponário da Fazenda Poranga no município de Itacoatiara - AM e Meliponário Abelhudo em Manaus - AM. Os resultados demonstraram o potencial do mel como fonte de energia, particularmente a M. rufiventris com 305,3±2,4 kcal em 100g. O pólen da espécie M. compressipes apresentou a maior concentração de proteína 15,7±0,0% e energia 309,8±0,8 kcal. Tais constatações sugerem a implementação de novos estudos visando à incorporação destes produtos na dieta dos amazônidas, possibilitando uma nova fonte alternativa de alimento potencialmente nutritivo e saudável.<br>We evaluated the nutricional constituent of honey and pollen samples of the Melipona species seminigra merrillae (jandaíra) Melipona compressipes manaosensis (jupará), Melipona rufiventris paraensis (uruçu boca de ralo), proceeding from the Poranga Honey Farm in Itacoatiara - AM, and Meliponário Abelhudo in Manaus, AM. The results demonstrated the potencial of honey as a source of energy, particularly the kcal M. rufiventris with 305.3±2.4 kcal in 100g. The compressis pollen of species presented the highest concentration of protein 15.7±0.0 % and energy 309.8±0.8 kcal. Thus we suggest the implementation of new studies aiming at the incorporation of these products in the diet of the Amazon population, making possible a new potentially nutritional and alternative healthful food source