Gravitational Instantons and Euclidean Supersymmetry

Supersymmetric instanton solutions in four dimensional Euclidean ungauged Einstein-Maxwell theory are analysed and classified according to the fraction of supersymmetry they preserve, using spinorial geometry techniques.Comment: 10 pages, late

On Non-extremal Instantons and Black Holes

We consider a general analysis and a specific ansatz for the study of non-supersymmetric solutions in arbitrary dimensions and various metric signatures. In all cases, we find that the conditions on the solutions can be written in terms of quadratic forms involving the gauge coupling of the theory and constants of integration associated with the scalar fields. Depending on the signature of the metric, our analysis should provide a general framework for finding non-extremal black holes, instantons, branes and S-branes.Comment: 19 page

Near-horizon geometries of supersymmetric AdS(5) black holes

We provide a classification of near-horizon geometries of supersymmetric, asymptotically anti-de Sitter, black holes of five-dimensional U(1)^3-gauged supergravity which admit two rotational symmetries. We find three possibilities: a topologically spherical horizon, an S^1 \times S^2 horizon and a toroidal horizon. The near-horizon geometry of the topologically spherical case turns out to be that of the most general known supersymmetric, asymptotically anti-de Sitter, black hole of U(1)^3-gauged supergravity. The other two cases have constant scalars and only exist in particular regions of this moduli space -- in particular they do not exist within minimal gauged supergravity. We also find a solution corresponding to the near-horizon geometry of a three-charge supersymmetric black ring held in equilibrium by a conical singularity; when lifted to type IIB supergravity this solution can be made regular, resulting in a discrete family of warped AdS(3) geometries. Analogous results are presented in U(1)^n gauged supergravity.Comment: Latex, 29 pages. v2: minor improvements, references adde

Non-Supersymmetric Charged Domain Walls

We present general non-supersymmtric domain wall solutions with non-trivial scalar and gauge fields for gauged five-dimensional N=2 supergravity coupled to abelian vector multiplets.Comment: 11 pages, one ref. added. To appear in Physics Letters

Uniqueness of Five-Dimensional Supersymmetric Black Holes

A classification of supersymmetric solutions of five dimensional ungauged supergravity coupled to arbitrary many abelian vector multiplets is used to prove a uniqueness theorem for asymptotically flat supersymmetric black holes with regular horizons. It is shown that the near-horizon geometries of solutions for which the scalars and gauge field strengths are sufficiently regular on the horizon are flat space, AdS_3 x S^2, or the near-horizon BMPV solution. Furthermore, the only black hole which has the near-horizon BMPV geometry for its near-horizon geometry is the solution found by Chamseddine and Sabra.Comment: 15 pages, uses JHEP3.cls. Revised to match published version; reference added, minor alterations to section

Politics and Parochial Schools in Archbishop John Purcell\u27s Ohio

This study chronicles the contentious relationship between advocates of public schools and those promoting Catholic education in Ohio during the career of Archbishop John Purcell of Cincinnati. Using information culled from qualitative research into primary resources such as personal correspondence, published proceedings and newspaper articles of the time, this monograph reconstructs a history of philosophical and political conflict accompanying the parallel development of two burgeoning school systems. The years from 1833 to 1883 saw the development of an equilibrium between the two systems that helped to define Thomas Jefferson\u27s concept of the wall of separation between church and state. Public schools did not have to share tax-generated funding with parochial schools which, in turn, were irrefutably protected from taxation themselves. Furthermore, the history of competing school systems exhibits the paradox of religious liberty in America and uncovers an evolution in the nature of opposition to Catholicism in the United State