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[{"key": "dc.contributor.advisor", "value": "Nurmi, Sami", "language": null, "element": "contributor", "qualifier": "advisor", "schema": "dc"}, {"key": "dc.contributor.author", "value": "Vastamaa, Jesse", "language": "", "element": "contributor", "qualifier": "author", "schema": "dc"}, {"key": "dc.date.accessioned", "value": "2024-06-12T11:43:42Z", "language": null, "element": "date", "qualifier": "accessioned", "schema": "dc"}, {"key": "dc.date.available", "value": "2024-06-12T11:43:42Z", "language": null, "element": "date", "qualifier": "available", "schema": "dc"}, {"key": "dc.date.issued", "value": "2024", "language": null, "element": "date", "qualifier": "issued", "schema": "dc"}, {"key": "dc.identifier.uri", "value": "https://jyx.jyu.fi/handle/123456789/95812", "language": null, "element": "identifier", "qualifier": "uri", "schema": "dc"}, {"key": "dc.description.abstract", "value": "There have been a few observations in cosmology in recent decades that do not\nfit our theories well. We detect the existence of dark matter for example\nby gravitational lensing, but we do not know what it consists of in microscopic scale and there is a chance that we have\ndiscovered more black holes in the universe than theories\nare predicting. The uncertainty rises from the imperfection of simulations. We usually think of a black hole as being born from the collapse of a star,\nbut if they could arise from a strong energy density fluctuations in the radiation dominated universe (= primordial black hole), they could explain part of both problems. However, we do not know about their existence yet. \\par\n In my thesis, I calculate Einstein's equations for a spherically symmetric metric and make use of the long wavelength approximation to describe an overdensity in an arbitrary point in space which can give birth to a primordial black hole. In addition, I familiarize myself with perturbations created from inflation and derive the theory of how to get the magnitude of overdensity from them for the formation of a primordial black hole. Finally, I calculate an example mass of the primordial black hole and the corresponding abundance at the time of birth, based on a chosen model. By comparing the result with dark matter abundance, we get an estimate for the amount of Primordial black holes in the universe in the chosen model.", "language": "en", "element": "description", "qualifier": "abstract", "schema": "dc"}, {"key": "dc.description.abstract", "value": "Kosmologiassa on saatu joitakin havaintoja viime vuosikymmenten aikana, jotka eiv\u00e4t\nsovi hyvin teorioihimme. Havaitsemme pime\u00e4n aineen olemassaolon muun muassa \ngravitaatiolinssien avulla, mutta emme tied\u00e4, mist\u00e4 se mikroskooppisesti koostuu ja on mahdollista, ett\u00e4 olemme my\u00f6s\nhavainneet enemm\u00e4n mustia aukkoja maailmankaikkeudessa kuin teoriat\nennustavat. Ep\u00e4varmuuteen vaikuttaa paljon mallinnusten puutteellisuus. Ajattelemme yleens\u00e4 mustan aukon syntyv\u00e4n t\u00e4hden romahduksesta,\nmutta jos niit\u00e4 voisi synty\u00e4 voimakkaista energiatihentymist\u00e4 s\u00e4teilyn dominoivassa\nmaailmankaikkeudessa (= primordiaalinen musta aukko), ne voisivat selitt\u00e4\u00e4 osan\nmolempia ongelmia. Emme kuitenkaan viel\u00e4 tied\u00e4 niiden olemassaolosta.\\par\nTutkielmassani lasken Einsteinin yht\u00e4l\u00f6t pallosymmetriselle metriikalle ja\ngradienttiekspansoin ne, jotta voin kuvata avaruuden mielivaltaisen pisteen\nylitihentym\u00e4\u00e4, joka voi synnytt\u00e4\u00e4 primordiaalisen mustan aukon. Lis\u00e4ksi tutustun inflaation\nsynnytt\u00e4miin perturbaatioihin ja esittelen, kuinka niist\u00e4 saadaan ylitihentym\u00e4n\nsuuruus primordiaalisen mustan aukon syntymiselle. Lopuksi saan laskettua esimerkin\nprimordiaalisen mustan aukon massalle ja sen massaisten primordiaalisten mustien aukkojen m\u00e4\u00e4r\u00e4n syntyhetkell\u00e4 pohjaten valittuun malliin. Vertaamalla tulosta pime\u00e4\u00e4n aineeseen, saamme arvion paljonko t\u00e4m\u00e4n massaisia primordiaalisia mustia aukkoja olisi maailmakaikkeudessa mallin mukaan.", "language": "fi", "element": "description", "qualifier": "abstract", "schema": "dc"}, {"key": "dc.description.provenance", "value": "Submitted by Miia Hakanen (mihakane@jyu.fi) on 2024-06-12T11:43:41Z\nNo. of bitstreams: 0", "language": "en", "element": "description", "qualifier": "provenance", "schema": "dc"}, {"key": "dc.description.provenance", "value": "Made available in DSpace on 2024-06-12T11:43:42Z (GMT). No. of bitstreams: 0\n Previous issue date: 2024", "language": "en", "element": "description", "qualifier": "provenance", "schema": "dc"}, {"key": "dc.format.extent", "value": "69", "language": "", "element": "format", "qualifier": "extent", "schema": "dc"}, {"key": "dc.language.iso", "value": "fin", "language": null, "element": "language", "qualifier": "iso", "schema": "dc"}, {"key": "dc.rights", "value": "In Copyright", "language": "en", "element": "rights", "qualifier": null, "schema": "dc"}, {"key": "dc.subject.other", "value": "primordiaalinen musta aukko", "language": "", "element": "subject", "qualifier": "other", "schema": "dc"}, {"key": "dc.subject.other", "value": "primordiaaliset perturbaatiot", "language": "", "element": "subject", "qualifier": "other", "schema": "dc"}, {"key": "dc.subject.other", "value": "gradienttiekspansion sovellus", "language": "", "element": "subject", "qualifier": "other", "schema": "dc"}, {"key": "dc.subject.other", "value": "primordiaalisten mustien aukkojen massa ja m\u00e4\u00e4r\u00e4", "language": "", "element": "subject", "qualifier": "other", "schema": "dc"}, {"key": "dc.title", "value": "Gradienttiekspansion sovelluksia : primordiaalisten mustien aukkojen synty primordiaalisista perturbaatioista", "language": "", "element": "title", "qualifier": null, "schema": "dc"}, {"key": "dc.type", "value": "master thesis", "language": null, "element": "type", "qualifier": null, "schema": "dc"}, {"key": "dc.identifier.urn", "value": "URN:NBN:fi:jyu-202406124579", "language": null, "element": "identifier", "qualifier": "urn", "schema": "dc"}, {"key": "dc.type.ontasot", "value": "Master\u2019s thesis", "language": "en", "element": "type", "qualifier": "ontasot", "schema": "dc"}, {"key": "dc.type.ontasot", "value": "Pro gradu -tutkielma", "language": "fi", "element": "type", "qualifier": "ontasot", "schema": "dc"}, {"key": "dc.contributor.faculty", "value": "Faculty of Sciences", "language": "en", "element": "contributor", "qualifier": "faculty", "schema": "dc"}, {"key": "dc.contributor.faculty", "value": "Matemaattis-luonnontieteellinen tiedekunta", "language": "fi", "element": "contributor", "qualifier": "faculty", "schema": "dc"}, {"key": "dc.contributor.department", "value": "Department of Physics", "language": "en", "element": "contributor", "qualifier": "department", "schema": "dc"}, {"key": "dc.contributor.department", "value": "Fysiikan laitos", "language": "fi", "element": "contributor", "qualifier": "department", "schema": "dc"}, {"key": "dc.contributor.organization", "value": "University of Jyv\u00e4skyl\u00e4", "language": "en", "element": "contributor", "qualifier": "organization", "schema": "dc"}, {"key": "dc.contributor.organization", "value": "Jyv\u00e4skyl\u00e4n yliopisto", "language": "fi", "element": "contributor", "qualifier": "organization", "schema": "dc"}, {"key": "dc.subject.discipline", "value": "Theoretical Physics", "language": "en", "element": "subject", "qualifier": "discipline", "schema": "dc"}, {"key": "dc.subject.discipline", "value": "Teoreettinen fysiikka", "language": "fi", "element": "subject", "qualifier": "discipline", "schema": "dc"}, {"key": "yvv.contractresearch.funding", "value": "0", "language": "", "element": "contractresearch", "qualifier": "funding", "schema": "yvv"}, {"key": "dc.type.coar", "value": "http://purl.org/coar/resource_type/c_bdcc", "language": null, "element": "type", "qualifier": "coar", "schema": "dc"}, {"key": "dc.rights.accesslevel", "value": "openAccess", "language": null, "element": "rights", "qualifier": "accesslevel", "schema": "dc"}, {"key": "dc.type.publication", "value": "masterThesis", "language": null, "element": "type", "qualifier": "publication", "schema": "dc"}, {"key": "dc.subject.oppiainekoodi", "value": "4024", "language": null, "element": "subject", "qualifier": "oppiainekoodi", "schema": "dc"}, {"key": "dc.subject.yso", "value": "maailmankaikkeus", "language": null, "element": "subject", "qualifier": "yso", "schema": "dc"}, {"key": "dc.subject.yso", "value": "mustat aukot", "language": null, "element": "subject", "qualifier": "yso", "schema": "dc"}, {"key": "dc.subject.yso", "value": "suhteellisuusteoria", "language": null, "element": "subject", "qualifier": "yso", "schema": "dc"}, {"key": "dc.subject.yso", "value": "kosmologia", "language": null, "element": "subject", "qualifier": "yso", "schema": "dc"}, {"key": "dc.subject.yso", "value": "teoriat", "language": null, "element": "subject", "qualifier": "yso", "schema": "dc"}, {"key": "dc.subject.yso", "value": "fysiikka", "language": null, "element": "subject", "qualifier": "yso", "schema": "dc"}, {"key": "dc.rights.url", "value": "https://rightsstatements.org/page/InC/1.0/", "language": null, "element": "rights", "qualifier": "url", "schema": "dc"}]
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