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Evolution of a non-minimally coupled scalar ﬁeld in a LTB metric

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Treballs Finals de Grau de Física, Facultat de Física, Universitat de Barcelona, Curs: 2021, Tutor: Alessio Notari

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We analyzed a theory of gravity with a non-minimally coupled scalar ﬁeld, writing down its equation of motion and the Einstein equations in a spherically symmetric Lemaˆıtre-Tolman-Bondi (LTB) metric. This is motivated by the possibility that a non-minimally coupled scalar could alleviate the “Hubble tension” that exists between measurements of the Hubble parameter H0, using Supernovae or CMB. In particular, the aim of this work is to provide the necessary equations, in order to investigate the relation between the cosmological value of the scalar ﬁeld and its local value within a cosmic structure, described here by the LTB metric

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Evolution of a non-minimally coupled scalar ﬁeld in a LTB metric