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Loop quantum cosmology of k=1 FRW: A tale of two bounces

We consider the k=1 Friedman-Robertson-Walker (FRW) model within loop quantum cosmology, paying special attention to the existence of an ambiguity in the quantization process. In spatially non-flat…
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Constraint Lie algebra and local physical Hamiltonian for a generic 2D dilatonic model

We consider a class of two-dimensional dilatonic models, and revisit them from the perspective of a new set of ‘polar type’ variables. These are motivated by recently defined variables within the…
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Two-field disformal transformation and mimetic cosmology

We extend the disformal transformation to models with two scalar fields and look at its singular limit. Solving the eigentensor equation for the Jacobian of the transformation of the metrics we find…
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Measure problem in slow roll inflation and loop quantum cosmology

We consider the measure problem in standard slow-roll inflationary models from the perspective of loop quantum cosmology (LQC). Following recent results by Ashtekar and Sloan, we study the…
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Loop quantum cosmology of k = 1 FLRW: effects of inverse volume corrections

We consider the k = 1 Friedman–Lemaitre–Robertson–Walker model within loop quantum cosmology, from the perspective of the two available quantization prescriptions. We focus our attention on the…
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Loop quantum cosmology of Bianchi IX: Inclusion of inverse triad corrections

We consider the loop quantization of the (diagonal) Bianchi type IX cosmological model. We explore different quantization prescriptions that extend the work of Wilson-Ewing and Singh. In particular,…
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Charged vector inflation

We present a model of inflation in which the inflaton field is charged under a triplet of $U(1)$ gauge fields. The model enjoys an internal $O(3)$ symmetry supporting the isotropic FRW solution. With…
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Effective field theory of statistical anisotropies for primordial bispectrum and gravitational waves

We present the effective field theory studies of primordial statistical anisotropies in models of anisotropic inflation. The general action in unitary gauge is presented to calculate the leading…
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Primordial inhomogeneities from massive defects during inflation

We consider the imprints of local massive defects, such as a black hole or a massive monopole, during inflation. The massive defect breaks the background homogeneity. We consider the limit that the…
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Bubble nucleation and inflationary perturbations

In this work we study the imprints of bubble nucleation on primordial inflationary perturbations. We assume that the bubble is formed via the tunneling of a spectator field from the false vacuum of…
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