Cosmología ΛCDM a la luz de las más recientes pruebas observacionales, incluyendo un análisis de Machine Learnig y una predicción con datos simulados de LISA

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dc.contributor.advisorBonilla Rivera, Alexander
dc.contributor.authorPiraneque Tenjica, Johan Stiwer
dc.date.accessioned2025-06-09T20:49:38Z
dc.date.available2025-06-09T20:49:38Z
dc.date.issued2023-12
dc.description.abstractLos procesos gaussianos (GP) nos proveen de una gran alternativa, independiente del modelo físico, con el fin de obtener información cosmológica relevante a partir de datos observacionales. En la presente tesis, se utilizaron GP para realizar un análisis conjunto a partir de datos cosmológicos como Supernova Tipo Ia (SN), Cronómetros Cósmicos (CC), Oscilaciones Acústicas Bariónicas (BAO) y una simulación de puntos de datos como sirenas estándar de ondas gravitacionales (GWs) del proyecto Laser Interferometer Space Antena (LISA) de la Agencia Espacial Europea (ESA), con el fin de restringir los principales parámetros cosmológicos del modelo estándar ΛCDM, tales como la tasa de expansión del universo H₀ y reconstruir algunas propiedades de la energía oscura (DE), la ecuación del parámetro de estado ω, la velocidad del sonido de las perturbaciones de DE c²ₛ y la evolución de la densidad de DE X con el tiempo cosmológico. Se compararon los valores de H₀, la distancia comovil normalizada D(z) y su derivada D'(z) obtenidos con los distintos kernels planteados para el GP, tanto con los datos SN+CC+BAO como con SN+CC+BAO+LISA. Del análisis conjunto SN+CC+BAO+LISA, se obtuvo que H₀ está restringido a una precisión de 1% con H₀ = 69.035 ± 1.151 km s⁻¹ Mpc⁻¹. En lo referente a los parámetros DE, para el corrimiento al rojo z=0 se encontraron los valores de ω(z = 0)=-0.981 ± 0.062 y c²ₛ(z=0)=-0.275 ± 0.066. Además, se halló c²ₛ < 0 en ∼2σ CL con desplazamientos al rojo altos.
dc.description.abstractenglishGaussian processes (GP) provide us with a great alternative, independent of the physical model, in order to obtain relevant cosmological information from observational data. In the present thesis, GPs were used to perform a joint analysis from cosmological data such as Type Ia Supernova (SN), Cosmic Chronometers (CC), Baryon Acoustic Oscillations (BAO) and a simulation of data points such as standard wave sirens. gravitational forces (GWs) of the Laser Interferometer Space Antenna (LISA) project of the European Space Agency (ESA), in order to constrain the main cosmological parameters of the standard model ΛCDM, such as the expansion rate of the universe H₀ and reconstruct some properties of dark energy (DE), the equation of the state parameter ω, the speed of sound from DE perturbations c²ₛ and the evolution of the DE density X with the cosmological time. The values of H₀, the normalized comove distance D(z) and its derivative D'(z) obtained with the different kernels proposed for the GP were compared, both with the SN+CC+BAO data and with SN+CC+BAO+LISA. From the joint SN+CC+BAO+LISA analysis, it was obtained that H₀ is restricted to a precision of 1% with H₀ = 69.035 ± 1.151 km s⁻¹ Mpc⁻¹. Regarding the DE parameters, for the redshift z=0 the values of ω(z = 0)=-0.981 ± 0.062 and c²ₛ(z=0)=-0.275 ± 0.066 were found. Furthermore, c²ₛ < 0 was found in ∼2σ CL at high redshifts.
dc.description.degreelevelPregradospa
dc.description.degreenameMatemáticospa
dc.format.mimetypeapplication/pdf
dc.identifier.instnameinstname:Universidad El Bosquespa
dc.identifier.reponamereponame:Repositorio Institucional Universidad El Bosquespa
dc.identifier.repourlrepourl:https://repositorio.unbosque.edu.co
dc.identifier.urihttps://hdl.handle.net/20.500.12495/14611
dc.language.isoes
dc.publisher.facultyFacultad de Cienciasspa
dc.publisher.grantorUniversidad El Bosquespa
dc.publisher.programMatemáticasspa
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dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internationalen
dc.rights.accessrightsinfo:eu-repo/semantics/openAccess
dc.rights.accessrightshttps://purl.org/coar/access_right/c_abf2
dc.rights.localAcceso abiertospa
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subjectProcesos Gaussianos
dc.subjectEnergía Oscura
dc.subjectParámetros Cosmológicos
dc.subjectSimulación de Datos
dc.subject.ddc510
dc.subject.keywordsGaussian Processes
dc.subject.keywordsDark Energy
dc.subject.keywordsCosmological Parameters
dc.subject.keywordsData Simulation
dc.titleCosmología ΛCDM a la luz de las más recientes pruebas observacionales, incluyendo un análisis de Machine Learnig y una predicción con datos simulados de LISA
dc.title.translatedΛCDM cosmology in light of the most recent observational evidence, including a Machine Learning analysis and a prediction with simulated LISA data
dc.type.coarhttps://purl.org/coar/resource_type/c_7a1f
dc.type.coarversionhttps://purl.org/coar/version/c_ab4af688f83e57aa
dc.type.driverinfo:eu-repo/semantics/bachelorThesis
dc.type.hasversioninfo:eu-repo/semantics/acceptedVersion
dc.type.localTesis/Trabajo de grado - Monografía - Pregradospa

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