The 4th Conference of the Polish Society on Relativity

Session

Mathematical Physics 3

27 Sept 2017, 17:20

Kazimierz Dolny, Poland

33. Black hole initial data within the parabolic-hyperbolic formulation

Anna Nakonieczna (University of Warsaw, Poland)

27/09/2017, 17:20

Oral presentation (preferred)

The parabolic-hyperbolic formulation of the initial data of the Einstein equations for multiple black holes systems has been proposed recently [1-3]. It provides an alternative to the traditional conformal method [4]. During the talk, a numerical implementation of the approach to the initial data problem of general relativity will be presented. It will involve black holes described by a metric...

61. Universal electromagnetic fields

Marcello Ortaggio

27/09/2017, 17:40

Oral presentation (preferred)

Abstract: Already in the 30s, Schroedinger observed that all null Maxwell fields solve the equations for the electromagnetic field in any non-linear electrodynamics. More generally, we study properties of “universal” p-forms, i.e., electromagnetic fields that solve simultaneously any generalized electrodynamics (for which the field equations contain arbitrary powers and...

79. Particle content of gravity theories with Lagrangians explicitly depending on the Weyl tensor

Leszek Sokołowski (Astronomical Observatory, Jagiellonian University)

27/09/2017, 18:00

Oral presentation (preferred)

We present a modified method of investigation of particle content of a metric theory of gravitation whose Lagrangian explicitly depends on the Weyl tensor. Without any resort to observations we consider the problem from purely field–theoretical viewpoint. We apply the tenet of field theory that each classical field should correspond to a quantum particle with definite mass and spin and...

80. Inflationary scenario in Starobinski-Palatini FLRW cosmology

Andrzej Borowiec (University of Wrocław)

27/09/2017, 18:20

Oral presentation (preferred)

We review some recent results concerning inflationary scenario in the framework of Starobinski-Palatini FLRW cosmology, which can be reduced to the two-dimensional singular (piecewise-smooth) dynamical system of Newtonian type. Therefore, it can be describe in geometric terms of the corresponding potential function. Analytical calculations are given for the case with dust matter and...

49. Internal clock formulation of quantum mechanics

Przemysław Małkiewicz (National Centre for Nuclear Research)

27/09/2017, 18:40

Oral presentation (preferred)

The lack of external and fixed time is encoded into the canonical formalism of general relativity by means of the Hamiltonian constraint. The lack of time does not imply the lack of evolution but rather brings to the fore the role of internal clocks which are some largely arbitrary internal degrees of freedom with respect to which the evolution of timeless systems can be described. I will take...