New Class Of Metrics Research Articles

Erratum: Conformally flat stationary axisymmetric spacetimes [Phys. Rev. D66, 124018 (2002)

It is shown that within conformally flat stationary axisymmetric spacetimes, besides of the static family, there exists a new class of metrics, which is always stationary and axisymmetric. All these spacetimes, the static and the stationary ones, are endowed with an arbitrary function depending on the two non--Killingian coordinates. The explicit form of this function can be determined once the coupled matter, i.e., the energy--momentum tensor is given. One might hope possible extensions of this result to black holes on two--branes in four dimensions.

Conformally flat stationary axisymmetric spacetimes

It is shown that within conformally flat stationary axisymmetric spacetimes, besides of the static family, there exists a new class of metrics, which is always stationary and axisymmetric. All these spacetimes, the static and the stationary ones, are endowed with an arbitrary function depending on the two non--Killingian coordinates. The explicit form of this function can be determined once the coupled matter, i.e., the energy--momentum tensor is given. One might hope possible extensions of this result to black holes on two--branes in four dimensions.

Ideal metrics and products of independent random variables

A new class of metrics is introduced, and by studying their properties it is possible to obtain bounds for the remainder in a central limit theorem for products of independent random variables.

Path generated digital metrics

A new class of metrics, called path-generated metrics, is defined for the digital plane. There are essentially five different metrics in the class, including the classical city block and chessboard metrics.