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We revisit the Cosmic Microwave Background (CMB) constraints on the spatial curvature of the Universe, assessing how they change when the curvature parameter and the primordial inflationary scalar spectrum are treated consistently within…

Cosmology and Nongalactic Astrophysics · Physics 2025-10-01 Enrico Specogna , Tatevik Vardanyan , William Giarè , Eleonora Di Valentino

Cosmic inflation is arguably the most favoured paradigm of the very early Universe. It postulates an early phase of fast, nearly exponential, and accelerated expansion. Inflationary models are capable of explaining the overall flatness and…

Cosmology and Nongalactic Astrophysics · Physics 2022-11-08 Cristian Joana

We construct a new one-parameter family indexed by $\epsilon$ of two-ended, spatially-homogeneous black hole interiors solving the Einstein-Maxwell-Klein-Gordon equations with a (possibly zero) cosmological constant $\Lambda$ and…

General Relativity and Quantum Cosmology · Physics 2024-08-27 Maxime Van de Moortel

We numerically construct an one-parameter family of initial data of an expanding inhomogeneous universe model which is composed of regularly aligned black holes with an identical mass. They are initial data for vacuum solutions of the…

General Relativity and Quantum Cosmology · Physics 2013-05-30 Chul-Moon Yoo , Hiroyuki Abe , Yohsuke Takamori , Ken-ichi Nakao

During slow-roll inflation, non-perturbative transitions can produce bubbles of metastable vacuum. These bubbles expand exponentially during inflation to super-horizon size, and later collapse into black holes when the expansion of the…

High Energy Physics - Theory · Physics 2023-11-21 Matthew Kleban , Cameron E. Norton

Primordial black holes (PBHs) provide a well-motivated non-particle candidate for dark matter, requiring an enhancement of curvature perturbations on small inflationary scales consistent with observational constraints. In this work we study…

General Relativity and Quantum Cosmology · Physics 2026-01-01 Despina Totolou , Theodoros Papanikolaou , Emmanuel N. Saridakis

We investigate the stability of the inner horizon of a rotating BTZ black hole. We show that linear perturbations arising from smooth initial data are arbitrarily differentiable at the inner horizon if the black hole is sufficiently close…

High Energy Physics - Theory · Physics 2020-01-29 Oscar J. C. Dias , Harvey S. Reall , Jorge E. Santos

For primordial black holes (PBH) to be the dark matter in single-field inflation, the slow-roll approximation must be violated by at least ${\cal O}(1)$ in order to enhance the curvature power spectrum within the required number of efolds…

Cosmology and Nongalactic Astrophysics · Physics 2017-09-08 Hayato Motohashi , Wayne Hu

In a recent work, Ringstr\"om proposed a geometric notion of initial data on big bang singularities. Moreover, he conjectured that initial data on the singularity could be used to parameterize quiescent solutions to Einstein's equations;…

General Relativity and Quantum Cosmology · Physics 2025-06-18 Andrés Franco-Grisales

[Abridged] The primordial scalar power spectrum is well constrained on large scales, primarily by the observations of the anisotropies in the cosmic microwave background (CMB). Over the last few years, it has been recognized that a sharp…

Cosmology and Nongalactic Astrophysics · Physics 2021-04-21 H. V. Ragavendra , Pankaj Saha , L. Sriramkumar , Joseph Silk

The Cauchy problem of the vacuum Einstein's equations aims to find a semi-metric $g_{\alpha\beta}$ of a spacetime with vanishing Ricci curvature $R_{\alpha,\beta}$ and prescribed initial data. Under the harmonic gauge condition, the…

Analysis of PDEs · Mathematics 2009-07-23 Lavi Karp

Hawking's singularity theorem says that cosmological solutions arising from initial data with positive mean curvature have a past singularity. However, the nature of the singularity remains unclear. We therefore ask: If the initial…

General Relativity and Quantum Cosmology · Physics 2026-03-03 Hans Oude Groeniger , Oliver Petersen , Hans Ringström

We examine the stability and the strong cosmic censorship in the Reissner-Nordstrom-de Sitter (RN-dS) black hole by investigating the evolution of a scalar field non-minimally coupled to the curvature. We find that when the coupling…

General Relativity and Quantum Cosmology · Physics 2020-01-08 Hong Guo , Hang Liu , Xiao-Mei Kuang , Bin Wang

We investigate the evolution of black holes present during the inflationary epoch, assuming they are dynamically coupled to the cosmological background through a generalized McVittie geometry, such that their gravitational mass scales with…

General Relativity and Quantum Cosmology · Physics 2026-05-12 Ertola Urtubey Milos , Daniela Pérez

We show that the radial geodesic motion of a particle inside a black hole in isotropic coordinates (the Einstein-Rosen bridge) is physically different from the radial motion inside a Schwarzschild black hole. A particle enters the interior…

General Relativity and Quantum Cosmology · Physics 2009-01-21 Nikodem J. Poplawski

We revisit an inflationary scenario in which primordial inhomogeneities arise from a quantum collapse, a stochastic mechanism described in the context of quantum collapse theories in its continuous version and within semiclassical gravity.…

General Relativity and Quantum Cosmology · Physics 2026-03-04 María Pía Piccirilli , Gabriel León , Rosa-Laura Lechuga-Solis , Daniel Sudarsky

We obtain an explicit solution of the momentum constraint for conformally flat, maximal slicing, initial data which gives an alternative to the purely longitudinal extrinsic curvature of Bowen and York. The new solution is related, in a…

General Relativity and Quantum Cosmology · Physics 2009-11-07 S. Dain , C. O. Lousto , R. Takahashi

The singularity structure of charged spherical collapse is studied by considering the evolution of the gravity-scalar field system. A detailed examination of the geometry at late times strongly suggests the validity of the mass-inflation…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Patrick R. Brady , John D. Smith

We study the possibility that primordial black holes (PBHs) can be formed from large curvature perturbations generated during the waterfall phase transition due to the effects of one-loop radiative corrections of Yukawa couplings between…

Cosmology and Nongalactic Astrophysics · Physics 2024-09-04 Adeela Afzal , Anish Ghoshal

The existence (and abundance) of primordial black holes (PBHs) is governed by the power spectrum of primordial perturbations generated during inflation. So far no PBHs have been observed, and instead, increasingly stringent bounds on their…

Cosmology and Nongalactic Astrophysics · Physics 2018-02-06 Yashar Akrami , Florian Kuhnel , Marit Sandstad
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