The search for gravitational waves from the coalescence of black hole binary systems in data from the LIGO and Virgo detectors. Or: A dark walk through a random forest

The LIGO and Virgo gravitational-wave observatories are complex and extremely sensitive strain detectors that can be used to search for a wide variety of gravitational waves from astrophysical and cosmological sources. In this thesis, I motivate the search for the gravitational wave signals from coalescing black hole binary systems with total mass between 25 and 100 solar masses. The mechanisms for formation of such systems are not well-understood, and we do not have many observational constraints on the parameters that guide the formation scenarios. Detection of gravitational waves from such systems — or, in the absence of detection, the tightening of upper limits on the rate of such coalescences — will provide valuable information that can inform the astrophysics of the formation of these systems. I review the search for these systems and place upper limits on the rate of black hole binary coalescences with total mass between 25 and 100 solar masses. I then show how the sensitivity of this search can be improved by up to 40% by the the application of the multivariate statistical classifier known as a random forest of bagged decision trees to more effectively discriminate between signal and non-Gaussian instrumental noise. I also discuss the use of this classifier in the search for the ringdown signal from the merger of two black holes with total mass between 50 and 450 solar masses and present upper limits. I also apply multivariate statistical classifiers to the problem of quantifying the non-Gaussianity of LIGO data. Despite these improvements, no gravitational-wave signals have been detected in LIGO data so far. However, the use of multivariate statistical classification can significantly improve the sensitivity of the Advanced LIGO detectors to such signals.

Multipole moments in general relativity and dynamical perturbations of black-hole magnetospheres

This thesis consists of two parts. In Part I, we develop a multipole moment formalism in general relativity and use it to analyze the motion and precession of compact bodies. More specifically, the generic, vacuum, dynamical gravitational field of the exterior universe in the vicinity of a freely moving body is expanded in positive powers of the distance r away from the body's spatial origin (i.e., in the distance r from its timelike-geodesic world line). The expansion coefficients, called "external multipole moments,'' are defined covariantly in terms of the Riemann curvature tensor and its spatial derivatives evaluated on the body's central world line. In a carefully chosen class of de Donder coordinates, the expansion of the external field involves only integral powers of r ; no logarithmic terms occur. The expansion is used to derive higher-order corrections to previously known laws of motion and precession for black holes and other bodies. The resulting laws of motion and precession are expressed in terms of couplings of the time derivatives of the body's quadrupole and octopole moments to the external moments, i.e., to the external curvature and its gradient.

In part II, we study the interaction of magnetohydrodynamic (MHD) waves in a black-hole magnetosphere with the "dragging of inertial frames" effect of the hole's rotation - i.e., with the hole's "gravitomagnetic field." More specifically: we first rewrite the laws of perfect general relativistic magnetohydrodynamics (GRMHD) in 3+1 language in a general spacetime, in terms of quantities (magnetic field, flow velocity, ...) that would be measured by the ''fiducial observers” whose world lines are orthogonal to (arbitrarily chosen) hypersurfaces of constant time. We then specialize to a stationary spacetime and MHD flow with one arbitrary spatial symmetry (e.g., the stationary magnetosphere of a Kerr black hole); and for this spacetime we reduce the GRMHD equations to a set of algebraic equations. The general features of the resulting stationary, symmetric GRMHD magnetospheric solutions are discussed, including the Blandford-Znajek effect in which the gravitomagnetic field interacts with the magnetosphere to produce an outflowing jet. Then in a specific model spacetime with two spatial symmetries, which captures the key features of the Kerr geometry, we derive the GRMHD equations which govern weak, linealized perturbations of a stationary magnetosphere with outflowing jet. These perturbation equations are then Fourier analyzed in time t and in the symmetry coordinate x, and subsequently solved numerically. The numerical solutions describe the interaction of MHD waves with the gravitomagnetic field. It is found that, among other features, when an oscillatory external force is applied to the region of the magnetosphere where plasma (e⁺e^-) is being created, the magnetosphere responds especially strongly at a particular, resonant, driving frequency. The resonant frequency is that for which the perturbations appear to be stationary (time independent) in the common rest frame of the freshly created plasma and the rotating magnetic field lines. The magnetosphere of a rotating black hole, when buffeted by nonaxisymmetric magnetic fields anchored in a surrounding accretion disk, might exhibit an analogous resonance. If so then the hole's outflowing jet might be modulated at resonant frequencies ω=(m/2) Ω_H where m is an integer and Ω_H is the hole's angular velocity.

Conserved quantities and the formation of black holes in the Brans-Dicke theory of gravitation

In Part I, we construct a symmetric stress-energy-momentum pseudo-tensor for the gravitational fields of Brans-Dicke theory, and use this to establish rigorously conserved integral expressions for energy-momentum Pⁱ and angular momentum J^ik. Application of the two-dimensional surface integrals to the exact static spherical vacuum solution of Brans leads to an identification of our conserved mass with the active gravitational mass. Application to the distant fields of an arbitrary stationary source reveals that Pⁱ and J^ik have the same physical interpretation as in general relativity. For gravitational waves whose wavelength is small on the scale of the background radius of curvature, averaging over several wavelengths in the Brill-Hartle-Isaacson manner produces a stress-energy-momentum tensor for gravitational radiation which may be used to calculate the changes in Pⁱ and J^ik of their source.

In Part II, we develop strong evidence in favor of a conjecture by Penrose--that, in the Brans-Dicke theory, relativistic gravitational collapse in three dimensions produce black holes identical to those of general relativity. After pointing out that any black hole solution of general relativity also satisfies Brans-Dicke theory, we establish the Schwarzschild and Kerr geometries as the only possible spherical and axially symmetric black hole exteriors, respectively. Also, we show that a Schwarzschild geometry is necessarily formed in the collapse of an uncharged sphere.

Appendices discuss relationships among relativistic gravity theories and an example of a theory in which black holes do not exist.

Fighting the Strai(gh)tjacket: black women bonding in Loving Her and The Color Purple

O objetivo deste trabalho é analisar como as relações lésbicas são retratadas nas obras Loving Her e The Color Purple. Ao analisar as relações entre homens/mulheres e mulheres/mulheres, este estudo também revê e critica o golpe triplo sofrido por lésbicas negras, por serem, ao mesmo tempo, mulheres, afro-americanas e homossexuais. Utilizando fatos históricos para situar as obras em um contexto social, além da teoria do lesbian continuum afim de atestar a riqueza e diversidade do laço afetivo entre mulheres, este trabalho vem por desmistificar as noções simplistas em relação à literatura lésbica Afro-Americana, afugentando a sombra que pairava sobre o tabu e elevando a mulher negra, lésbica ou não, a seu lugar de direito na sociedade

Development of trophic state and phytoplankton in an oligo-mesotrophic reservoir (Kleine Kinzig) in Black Forest, Germany

Since 1989, intensive studies have been made on a relatively new (1983-84) oligotrophic reservoir and its pre-reservoir in the Black Forest. This paper briefly reports on the hydrochemistry, especially annual variations in phosphorus loadings, and the seasonal development of phytoplankton in 1989 and 1990.

O ofício de escritor e as figurações do outro: engajamento e representações sociais em José Lins do Rego

A efervescência cultural e política dos anos 20 contribuiu para o surgimento do romance nordestino de 30. Nesse momento, o engajamento do intelectual era uma necessidade e as produções artísticas foram mediadas por influências políticas de esquerda ou de direita. Com isso, as obras literárias ganharam um tom de denúncia, expondo nossos problemas sociais. O intelectual brasileiro se viu entre dúvidas e tensões e destacamos, na primeira parte desse trabalho, as posturas dos seguintes escritores: José Américo de Almeida (1887-1980), Rachel de Queiroz (1910-2003), Jorge Amado (1912-2001), José Lins do Rego (1901-1957) e Graciliano Ramos (1892-1953). Na segunda parte, tomamos as obras do escritor paraibano, José Lins do Rego, para analisar o posicionamento desse intelectual frente as questões de sua época. Com base nas discussões que o escritor põe em relevo em seus romances, identificamos a abordagem da relação entre intelectual e operário, os limites da figuração do outro o negro e a mulher pobre , a continuidade e a ampliação da escravidão no século XX. Cotejando as respostas de José Lins com as dos demais romancistas nordestinos de 30, verificamos como se estabeleceu o diálogo entre esses escritores e quais são os limites de seus posicionamentos

Frances E. W. Harper and Pauline E. Hopkins: the uplifting of black women through literature

A presente dissertação tem como objetivo apresentar duas influentes autoras afro-americanas do século XIX, Frances E. W. Harper e Pauline E. Hopkins. Ambas as autoras, através de seus romances Iola Leroy, or, Shadows Uplifted (1892) e Contending Forces: a Romance Illustrative of Negro Life North and South (1900) respectivamente, entrelaçam ficção e história com o propósito de criar novas alternativas de discurso, afastando-se, portanto, do oficial. Ademais, o presente trabalho propõe demonstrar como Frances Harper e Pauline Hopkins fazem uso do espaço literário com a finalidade de escrever a história do oprimido, permitindo, principalmente, que as mulheres afro-americanas dessem voz as suas experiências e as suas próprias histórias. Assim sendo, a literatura produzida por Frances e Harper e Pauline Hopkins será analisada como forma de empoderamento da comunidade afro-americana, principalmente como forma de aquisição de poder para as Mulheres Afro-Americanas.