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1.
Properties of Null Hypersurfaces
Hovhannes Demirtshyan, 2016, magistrsko delo

Opis: The aim of this thesis is to investigate the effects that a lightlike singular hypersurface can have on a congruence of timelike (spacelike) geodesics and to extend the existing theory to the case of null geodesics. The introduction discusses the applications of singular hypersurfaces for the description of physical phenomena, their major classfications and includes a short discussion of the two theoretical approaches that exist to study singular hypersurfaces. The second chapter contains detailed description of these approaches. The theoretical frameworks for both cases of lightlike and timelike (spacelike) hypersurfaces are developed. This chapter also discusses the application of these theories to the case when the hypersurface contains a plane fronted lightlike signal. The final chapter starts with a discussion of the effects that a lightlike singular hypersurface can have on a congruence of timelike (spacelike) geodesics. A new approach to these calculations is presented together with an extension of the theory to the case of a congruence of null geodesics. At the end of the chapter a concrete example and its similarities with the case of timelike geodesics is discussed. In conclusion, the thesis suggests a new mathematical framework for describing a congruence of null geodesics crossing a singular null hypersurface. The results may be applied in experimental physics to detect impulsive signals which are located in singular null hypersurfaces and to this end there is a discussion of the properties and possibilities for a detector of impulsive lightlike signals, which include gravitational waves.
Najdeno v: ključnih besedah
Povzetek najdenega: ...detector of impulsive lightlike signals, which include gravitational waves.... ...singular hypersurface, impulsive signal, gravitational wave,null geodesic, timelike (spacelike) geodesic...
Ključne besede: singular hypersurface, impulsive signal, gravitational wave, null geodesic, timelike (spacelike) geodesic
Objavljeno: 16.05.2016; Ogledov: 1307; Prenosov: 60
.pdf Polno besedilo (475,54 KB)

2.
Detection of gravitational waves
Gregor Mrak, 2016, diplomsko delo

Opis: This report mainly focuses on the first two detections of gravitational waves (GW). At the beginning of the thesis the historical background of GW explorations is discussed by pointing out some arguments and researchers that were essential for the progress. Continuing with the derivation based on the theory of general relativity, in order to express where certain properties derive. In the main part of the report, the subject of interest becomes Laser interferometer gravitational-wave observatory (LIGO), beginning with the problems occurring on the way to detection, describing different noise sources one by one. After pointing out the problems, solutions are discussed, namely the technological advances made to lower the background noise as much as possible. The chapter (4) points out different parts of the detector which are implemented to produce a clearer signal. As only physical noise reduction methods are not enough, digital signal processing algorithms are mentioned as well which are used to analyze the data. Subsequently the required theoretical knowledge is given, so the main part ends with the analysis of actual data taken from LIGO’s public release for both GW150914 and GW151226 events (first and second official detections). In the conclusion of the report a brief descriptions of various detectors besides Ligo are given and some insight of the future detectors that are planned to be built.
Najdeno v: ključnih besedah
Povzetek najdenega: ...on the first two detections of gravitational waves (GW). At the beginning of the thesis the...
Ključne besede: Gravitational waves, Ligo, Binary black hole merger, gravitational wave interferometry
Objavljeno: 27.09.2016; Ogledov: 1336; Prenosov: 67
.pdf Polno besedilo (3,27 MB)

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