Axial symmetry and transverse trace-free tensors in numerical relativity

Transverse trace-free (TT) tensors play an important role in the initial conditions of numerical relativity, containing two of the component freedoms. Expressing a TT tensor entirely, by the choice of two scalar potentials, is not a trivial task however. Assuming the added condition of axial symmetry, expressions are given in both spherical and cylindrical coordinates, for TT tensors in flat space. A coordinate relation is then calculated between the scalar potentials of each coordinate system. This is extended to a non-flat space, though only one potential is found. The remaining equations are reduced to form a second order partial differential equation in two of the tensor components. With the axially symmetric flat space tensors, the choice of potentials giving Bowen-York conformal curvatures, are derived. A restriction is found for the potentials which ensure an axially symmetric TT tensor, which is regular at the origin, and conditions on the potentials, which give an axially symmetric TT tensor with a spherically symmetric scalar product, are also derived. A comparison is made of the extrinsic curvatures of the exact Kerr solution and numerical Bowen-York solution for axially symmetric black hole space-times. The Brill wave, believed to act as the difference between the Kerr and Bowen-York space-times, is also studied, with an approximate numerical solution found for a mass-factor, under different amplitudes of the metric.

Conservation laws and variational principles in general relativity /

"April 23, 1962."

Relativity : the special and general theory /

Includes index.

New theories in physics : proceedings of the XI Warsaw Symposium on Elementary Particle Physics, 23-27 May, 1988, Kazimierz, Poland /

Mode of access: Internet.

Relativity in colored pictures.

Cover title.

The theory of general relativity and gravitation.

Mode of access: Internet.

Introduction to Einstein and universal relativity

Mode of access: Internet.

The principle of relativity with applications to physical science /

Mode of access: Internet.

Relativity, the electron theory, and gravitation,

Mode of access: Internet.

Nuclear curvature energy in relativistic models

The difficulties arising in the calculation of the nuclear curvature energy are analyzed in detail, especially with reference to relativistic models. It is underlined that the implicit dependence on curvature of the quantal wave functions is directly accessible only in a semiclassical framework. It is shown that also in the relativistic models quantal and semiclassical calculations of the curvature energy are in good agreement.

Implícits filosòfics del convencionalisme en la geometria espaciotemporal

Treball que té com a objectiu, en primer lloc, establir quina possibilitat té el convencionalisme de ser una alternativa a les concepcions realistes de la geometria relativista; en segon lloc, assenyalar les implicacions epistemològiques que en deriven; en tercer lloc, precisar quin tipus de lectura de la hipòtesi inicial hem de fer donat que hi ha un cert marge per a l’ambigüitat i això ha permès diverses propostes; i en quart i darrer lloc, en cas que hom accepti les restriccions que el convencionalisme imposa al nostre coneixement, hem de veure quines conclusions podem extreure en l’àmbit ontològic i fins a quin punt són significatives per a la discussió sobre la relació entre matemàtica i naturalesa

Relatividade restrita de De Sitter: uma abordagem cinemática

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Aspectos relativísticos da teoria da informação quântica

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

Buracos sônicos em superfícies esféricas

Pós-graduação em Física - IFT