Gravitational Lorentz force and the description of the gravitational interaction

In the context of a gauge theory for the translation group, we have obtained, for a spinless particle, a gravitational analogue of the Lorentz force. Then, we have shown that this force equation can be rewritten in terms of magnitudes related to either the teleparallel or the Riemannian structures induced in spacetime by the presence of the gravitational field. In the first case, it gives a force equation, with torsion playing the role of force. In the second, it gives the usual geodesic equation of general relativity. The main conclusion is that scalar matter is able to feel any one of the above spacetime geometries, the teleparallel and the metric ones. Furthermore, both descriptions are found to be completely equivalent in the sense that they give the same physical trajectory for a spinless particle in a gravitational field.

Structural and geochronological studies of the Médio Coreaú domain, NE Brazil: Constraints on Brasiliano/Pan-African tectonic evolution in the NW part of the Borborema Province

Recent structural investigations and geochronological studies of rocks from the Médio Coreaú domain in the NW part of northeast Brazil's Borborema Province provide important constraints on the tectonic evolution of the region both preceeding and during the assembly of West Gondwana. Field observations of structural features and fabrics have revealed the presence of four distinct deformational phases in the MCD: D1, D2, D3 and D4. Only the early Paleoproterozoic gneisses record the D1 tectonic event and its preservation is cryptic owing to strong overprinting by the subsequent tectonic phases. The D2, D3 and D4 events affected younger supracrustal rocks and Neoproterzoic magmatic units, and U-Pb geochronological constraints show that all of these tectonic phases represent deformational events that occurred during Brasiliano collision between the West African craton and the NW part of the Borborema Province. The D2 phase, lasting between ca. 622 and 591 Ma, represents a frontal collision stage, which generated NW verging thrust-nappe systems, low-angle foliation, high-grade metamorphism and crustal anatexis. Transition to a strike-slip regime (D3) occurred at around 591 Ma when the region entered a phase of escape tectonics. During this time, the motion of crustal blocks towards NE and E was accommodated along numerous anastomosing shear zones. Syntectonic emplacement of granitoid plutons took place in transtensional domains of the shear zone system. The intrusion of late tectonic granitoids and rapid uplift and cooling of the orogen around 560 Ma as a result of D4 transpressional movements marked the end of the D3 transcurrent regime. These findings show that only the early Paleoproterozoic gneisses in the Médio Coreaú domain are polycyclic in nature. Rather than representing distinct orogenic events, the D2, D3 and D4 tectonic phases are a manifestation of progressive deformational events that developed in response to changes in the regional stress field during convergence and collision between the Borborema Province and its surrounding cratons.

Caracterização das falhas de transferência na porção norte da Bacia de Santos a partir da integração de dados geológicos e geofísicos

Structures transverse/sub-transverse to the shoreline have been identified and characterized on the precambrian basement outcrop on the continent adjacent to the northern Santos Basin. These structures were analyzed from images of digital elevation model SRTM 90m by extracting NW-SE lineaments that intersect the NE-SW foliation. The lineaments were selected, classified into 48 segments that extend toward offshore, and correlated with basin structures. In the basin 25 2D seismic sections, 12 well logs and data from potential methods were interpreted, identifying the key stratigraphic levels and the major structures. Structural maps of each horizon were generated. Six transfer faults (FTs) were recognized and named FT-1 to FT-6, whose extensions correspond to continental lineaments named FC1 to FC6. The FTs are related to the basin deformation and evolution. In seismic sections, these faults have lateral slip in flower structures, displacement inversions from normal at the top to reverse at the base, abrupt changes in thickness or even disappearance of the seismic reflectors. The structural map of the Basement and Top of the Rift shows control of some depocenters by faults and displacements in some areas. The maps of potential methods indicate that there are pronounced anomaly shifts in some areas, associated with FTs. Some seismic sections indicate reactivation of FTs when they intersect horizons from the basement until the most recent layers. The 3D integration of data facilitated the observation of the FT extensions in the continent discontinuity.

Contexto tectônico dos granitóides neoproterozóicos da faixa de dobramentos paraguai, MS e MT

The Neoproterozoic Granitic Province from the southeast of Mato Grosso and Mato Grosso do Sul region is constituted by seven distinctive granitic bodies, emplaced in the epimetamorphic rocks of the Cuiabá Group and related to the evolution of Paraguai Folded Belt. The Northern portion crops out in Mato Grosso State and is constituted by São Vicente, Araguaiana and Lajinha batholiths; the Southern portion crops out in the Mato Grosso do Sul State and is represented the Sonora, Coxim Rio Negro and Taboco massifs. The structural evolution is evidenced by the presence of three deformational phases, the first one is characterized by axial planar foliation (S 1), parallel or sub parallel to S 0, with attitude N60E/70NW; the second constitutes the most important phase for the tectonic arrangement and is defined by a slaty and/or crenulation cleavages (S 2), with attitude N10W/30SW and contact metamorphism associated to the emplacement of granitic bodies, the third phase is characterized by a weak retrometamorphic cleavage (S 3) with attitude N10E/ 80NW, that evolves local and gradually to strike-slip shear zones. The geological data suggest that this province was formed syn- to post tectonic to the D2 deformational set associated to the end of the collisional event in the Southeastern of the Amazonian Craton.

Evolução metamórfica e termobarometria das rochas metamáficas/metabásicas da região de Pontalina - GO

At the Pontalina region, the Magmatic Arc of Goiás is constituted by orthogneisses, metasediments, metaultramafics and metamafic/metabasics, geochemically related to island arcs. Mineral assemblages related to metamorphic peak observed in the study area are typically of the amphibolite facies and were generated before or during the initial stage of the development of the main foliation (S n). Thermobarometric data show the P and T conditions for the amphibole + plagioclase and plagioclase + garnet + amphibole assemblages in the metamafic/metabasic rocks correspond to amphibolite facies (medium to upper grade), and plot in the kyanite stability field. The results indicate that the metamorphic peak (M1) in the amphibolite facies (medium up to upper grade) reached temperatures slightly higher than 700°C, not exceeding 775°C, under conditions of medium pressure (∼10 kbar). Thermobarometric and petrographic data, related to the metamorphism, indicate a clockwise P-T path for the surrounding rocks.

On singular foliations on the solid torus

We study smooth foliations on the solid torus S1×D2 having S1×{0} and S1×∂D2 as the only compact leaves and S1×{0} as singular set. We show that all other leaves can only be cylinders or planes, and give necessary conditions for the foliation to be a suspension of a diffeomorphism of the disc. © 2013 Elsevier B.V.

Modelo estrutural da jazida de sulfetos de NI-CU-CO e MGP, Fortaleza de Minas, MG

Pós-graduação em Geologia Regional - IGCE

As formações ferríferas bandadas de Piumhi: geologia, petrografia e caracterização tecnológica

Pós-graduação em Geologia Regional - IGCE

Folheações de dimensão 2 de R3 induzidas por 1-formas diferenciais

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Variedade riemannianas e imersão do tipo Nash: um ensaio e aplicações

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Alterabilidade e caracterização tecnológica dos gnaisses enderbíticos da porção norte do estado do Ceará com aplicação no setor de rochas ornamentais

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Influência da petrografia sobre a anisotropia à tensão de compressão e dilatação térmica de rochas ornamentais

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Caracterização estrutural do embasamento do Grupo Araí, na zona externa da faixa Brasília (GO)

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

Estudo microestrutural em mineralização aurífera do tipo-veio hospedada em zona de cisalhamento: caso do depósito Sertãozinho, província Borborema, NE do Brasil

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

Evolução geológica da faixa Brasília na região de Tapira, Sudoeste de Minas Gerais

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)