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Applications of invariants in genera...

Pelavas, Nicos.

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Applications of invariants in general relativity.

Record Type:	Electronic resources : Monograph/item
Title/Author:	Applications of invariants in general relativity./
Author:	Pelavas, Nicos.
Description:	91 p.
Notes:	Source: Dissertation Abstracts International, Volume: 65-05, Section: B, page: 2450.
Contained By:	Dissertation Abstracts International65-05B.
Subject:	Physics, General. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=NQ92407
ISBN:	0612924076

Applications of invariants in general relativity.
Pelavas, Nicos.

Applications of invariants in general relativity. - 91 p.

Source: Dissertation Abstracts International, Volume: 65-05, Section: B, page: 2450.

Thesis (Ph.D.)--Queen's University at Kingston (Canada), 2004.

This thesis explores various kinds of invariants and their use in general relativity. To start, the simplest invariants, those polynomial in the Riemann tensor, are examined and the currently accepted Carminati-Zakhary set is compared to the Carminati-McLenaghan set. A number of algebraic relations linking the two sets are given.

ISBN: 0612924076Subjects--Topical Terms:

1018488
Physics, General.

Applications of invariants in general relativity.
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100 1 $a Pelavas, Nicos. $3 1926868
245 1 0 $a Applications of invariants in general relativity.
300 $a 91 p.
500 $a Source: Dissertation Abstracts International, Volume: 65-05, Section: B, page: 2450.
500 $a Adviser: Kayll Lake.
502 $a Thesis (Ph.D.)--Queen's University at Kingston (Canada), 2004.
520 $a This thesis explores various kinds of invariants and their use in general relativity. To start, the simplest invariants, those polynomial in the Riemann tensor, are examined and the currently accepted Carminati-Zakhary set is compared to the Carminati-McLenaghan set. A number of algebraic relations linking the two sets are given.
520 $a The concept of gravitational entropy, as proposed by Penrose, has some physically appealing properties which have motivated attempts to quantify this notion using various invariants. We study this in the context of self-similar spacetimes. A general result is obtained which gives the Lie derivative of any invariant or ratio of invariants along a homothetic trajectory. A direct application of this result shows that the currently used gravitational epoch function fails to satisfy certain criteria. Based on this work, candidates for a gravitational epoch function are proposed that behave accordingly in these models.
520 $a The instantaneous ergo surface in the Kerr solution is studied and shown to possess conical points at the poles when embedded in three dimensional Euclidean space. These intrinsic singularities had remained undiscovered for a generation. We generalize the Gauss-Bonnet theorem to accommodate these points and use it to compute a topological invariant, the Euler characteristic, for this surface.
520 $a Interest in solutions admitting a cosmological constant has prompted us to study ergo surfaces in stationary non-asymptotically flat spacetimes. In these cases we show that there is in fact a family of ergo surfaces. By using a kinematic invariant constructed from timelike Killing vectors we try to find a preferred ergo surface. We illustrate to what extent this invariant fails to provide such a measure.
590 $a School code: 0283.
650 4 $a Physics, General. $3 1018488
690 $a 0605
710 2 0 $a Queen's University at Kingston (Canada). $3 1250078
773 0 $t Dissertation Abstracts International $g 65-05B.
790 1 0 $a Lake, Kayll, $e advisor
790 $a 0283
791 $a Ph.D.
792 $a 2004
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=NQ92407