Showing papers by "Jerzy Lewandowski published in 2001"
TL;DR: In this paper, the concept of isolated horizon angular momentum was introduced and extended to the rotating case of non-rotating black holes, and the first law was extended to rotating case.
Abstract: Black hole mechanics was recently extended by replacing the more commonly used event horizons in stationary space-times with isolated horizons in more general space-times (which may admit radiation arbitrarily close to black holes). However, so far the detailed analysis has been restricted to nonrotating black holes (although it incorporated arbitrary distortion, as well as electromagnetic, Yang-Mills, and dilatonic charges). We now fill this gap by first introducing the notion of isolated horizon angular momentum and then extending the first law to the rotating case.
269 citations
TL;DR: In this paper, the Minkowskian Fock states are located, analyzed and used in the background-independent framework to bridge the gap between background independent, nonperturbative quantum gravity and low-energy physics described by perturbative field theory in Minkowski spacetime.
Abstract: To bridge the gap between background-independent, non-perturbative quantum gravity and low-energy physics described by perturbative field theory in Minkowski spacetime, Minkowskian Fock states are located, analysed and used in the background-independent framework. This approach to the analysis of semiclassical issues is motivated by the recent results of Varadarajan (Varadarajan M and Zapata J A 2000 Class.?Quantum Grav.?17 4085-109). As in that work, we use the simpler U(1) example to illustrate our constructions but, in contrast to that work, we formulate the theory in such a way that it can be extended to full general relativity.
93 citations
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TL;DR: In particular, theories with uncountably many non-vanishing Wilson-loop expectation values cannot be gained this way as mentioned in this paper, and it is shown that the definition of physical integration measures via exponential of minus the action times kinematical integration measure typically contradicts properties of physical models.
Abstract: Max-Planck-Institut fu¨r Gravitationsphysik, Albert-Einstein-Institut, Am Mu¨hlenberg 1, 14476 Golm, Germany(October 31, 2001)It is shown that the definition of physical integration measures via “exponential of minus theaction times kinematical integration measure” typically contradicts properties of physical models.In particular, theories with uncountably many non-vanishing Wilson-loop expectation values cannotbe gained this way. The results are rigorous within the Ashtekar approach to gauge field theories.PACS: 11.15.Tk, 02.30.Cj MSC 2000: 81T13; 81T27, 28C20, 58D20Introduction
5 citations
TL;DR: In this paper, a new quantum representation for the Lorentzian gravity is created from the Pullin vaccum by the operators assigned to 2-complexes, using the original spinorial Ashtekar variables, the reality conditions are well posed and Thiemann's Hamiltonian is well defined.
Abstract: This is a contribution to the MG9 session QG1-a. A new quantum representation for the Lorentzian gravity is created from the Pullin vaccum by the operators assigned to 2-complexes. The representation uses the original, spinorial Ashtekar variables, the reality conditions are well posed and Thiemann's Hamiltonian is well defined. The results on the existence of a suitable Hilbert product are partial. They were derived in collaboration with Abhay Ashtekar.
5 citations
TL;DR: In this article, Minkowskian Fock states are located, analyzed and used in the background independent framework to bridge the gap between background independent, non-perturbative quantum gravity and low energy physics described by perturbative field theory in Minkowski space-time.
Abstract: To bridge the gap between background independent, non-perturbative quantum gravity and low energy physics described by perturbative field theory in Minkowski space-time, Minkowskian Fock states are located, analyzed and used in the background independent framework. This approach to the analysis of semi-classical issues is motivated by recent results of Varadarajan. As in that work, we use the simpler U(1) example to illustrate our constructions but, in contrast to that work, formulate the theory in such a way that it can be extended to full general relativity.
5 citations
TL;DR: In this article, the properties of weakly isolated and isolated horizons are analyzed and compared with structures which arise in other contexts within general relativity, e.g., at null infinity.
Abstract: Geometrical structures intrinsic to non-expanding, weakly isolated and isolated horizons are analyzed and compared with structures which arise in other contexts within general relativity, e.g., at null infinity. In particular, we address in detail the issue of singling out the preferred normals to these horizons required in various applications. This work provides powerful tools to extract invariant, physical information from numerical simulations of the near horizon, strong field geometry. While it complements the previous analysis of laws governing the mechanics of weakly isolated horizons, prior knowledge of those results is not assumed.
3 citations