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The recently proposed trans-Planckian censorship conjecture (TCC) imposes a strong constraint on the inflationary Hubble scale, of which the upper bound could be largely relaxed by considering a noninstantaneous reheating history. In this…

Cosmology and Nongalactic Astrophysics · Physics 2020-02-12 Rong-Gen Cai , Shao-Jiang Wang

Non-singular black hole geometries typically come with two spacetime horizons: an (outer) event horizon and an (inner) Cauchy horizon. This nurtures the speculation that they may be subject to a mass-inflation effect which renders the…

General Relativity and Quantum Cosmology · Physics 2022-11-18 Alfio Bonanno , Amir-Pouyan Khosravi , Frank Saueressig

This study investigates the realization of R-symmetric Higgs inflation within the framework of no-scale-like supergravity, aiming to elucidate the formation of primordial black holes and observable gravitational waves within a class of GUT…

Cosmology and Nongalactic Astrophysics · Physics 2025-01-03 Nadir Ijaz , Mansoor Ur Rehman

Numerical relativity simulations provide a means by which to study the evolution and end point of strong over-densities in cosmological spacetimes. Specific applications include studies of primordial black hole formation and the robustness…

General Relativity and Quantum Cosmology · Physics 2025-12-12 Thomas W. Baumgarte , Katy Clough , John T. Giblin

We consider the spherically symmetric, asymptotically flat Einstein-Vlasov system. We find explicit conditions on the initial data, with ADM mass M, such that the resulting spacetime has the following properties: there is a family of…

General Relativity and Quantum Cosmology · Physics 2011-01-24 Hakan Andreasson , Markus Kunze , Gerhard Rein

Approximate solutions to the Einstein field equations are a valuable tool to investigate gravitational phenomena. An important aspect of any approximation is to investigate and quantify its regime of validity. We present a study that…

General Relativity and Quantum Cosmology · Physics 2009-09-02 Tanja Bode , Pablo Laguna , Deirdre M. Shoemaker , Ian Hinder , Frank Herrmann , Birjoo Vaishnav

We discuss the possibility of producing a significant fraction of dark matter in the form of primordial black holes in the context of the pre-big bang inflationary scenario. We take into account, to this purpose, the enhancement of…

General Relativity and Quantum Cosmology · Physics 2020-08-19 P. Conzinu , M. Gasperini , G. Marozzi

We study cosmological perturbations in generalized Einstein scenarios and show the equivalence of inflationary observables both in the Jordan frame and the Einstein frame. In particular the consistency relation relating the tensor-to-scalar…

Astrophysics · Physics 2010-11-23 Shinji Tsujikawa , Burin Gumjudpai

Sufficiently large scalar perturbations in the early Universe can create over-dense regions that collapse into primordial black holes (PBH). This process is accompanied by the emission of scalar-induced gravitational waves (SIGW) that…

Cosmology and Nongalactic Astrophysics · Physics 2023-07-06 Junsong Cang , Yin-Zhe Ma , Yu Gao

This paper studies the Cauchy problem for systems of semi-linear wave equations on $\mathbb{R}^{3+1}$ with nonlinear terms satisfying the null conditions. We construct future global-in-time classical solutions with arbitrarily large initial…

Analysis of PDEs · Mathematics 2015-12-31 Shuang Miao , Long Pei , Pin Yu

We study the interior dynamics of spontaneously scalarized black holes in Einstein-Maxwell-Scalar theory with zero cosmological constant, revealing novel critical phenomena. We demonstrate that, for a wide range of scalar-electromagnetic…

General Relativity and Quantum Cosmology · Physics 2026-05-25 Li Li , Ze Sun , Fu-Guo Yang

In this article we provide a new closed relationship between cosmic abundance of primordial gravitational waves and primordial blackholes originated from initial inflationary perturbations for inflection-point models of inflation where…

Cosmology and Nongalactic Astrophysics · Physics 2014-05-19 Sayantan Choudhury , Anupam Mazumdar

We investigate the enhancement of the curvature perturbations in a single-field slow-roll inflation with a spectator scalar field kinetically coupled to the inflaton. The coupling term with a periodic function of inflaton triggers the…

Cosmology and Nongalactic Astrophysics · Physics 2021-10-22 Rong-Gen Cai , Chao Chen , Chengjie Fu

We investigate a negative potential-induced scalarization of the Einstein-Euler-Heisenberg (EEH) black hole in the EEH-scalar (EEHS) theory, characterized by mass $M$, Euler-Heisenberg parameter $\mu$, and magnetic charge $q$. Within this…

General Relativity and Quantum Cosmology · Physics 2025-08-25 Hong Guo , Miok Park , Yun Soo Myung

There is controversy surrounding the origin and evolution of our universe's largest supermassive black holes (SMBHs). In this study, we consider the possibility that some of these black holes formed from the direct collapse of primordial…

Cosmology and Nongalactic Astrophysics · Physics 2024-02-21 Dan Hooper , Aurora Ireland , Gordan Krnjaic , Albert Stebbins

We propose a unified framework where the totality of dark matter (DM), the baryon asymmetry of the universe, and a detectable stochastic gravitational wave (GW) background originate from ultra-slow-roll (USR) inflation. The drastic…

Cosmology and Nongalactic Astrophysics · Physics 2026-03-13 Shyam Balaji

The mechanism for triggering the universe inflation could be that at very early periods the time variable was discrete instead of smooth. Alternatively, and perhaps equivalently, it could be the consequence that the metrics of the early…

High Energy Physics - Theory · Physics 2016-12-28 Laurent Baulieu

We consider the Einstein-dust equations with positive cosmological constant $\lambda$ on manifolds with time slices diffeomorphic to an orientable, compact 3-manifold $S$. It is shown that the set of standard Cauchy data for the…

General Relativity and Quantum Cosmology · Physics 2016-08-24 Helmut Friedrich

I study the time--symmetric initial--data problem in theories with a massless scalar field (dilaton), free or coupled to a Maxwell field in the stringy way, finding different initial--data sets describing an arbitrary number of black holes…

High Energy Physics - Theory · Physics 2016-08-24 T. Ortin

Recently, it has been claimed that inflationary models with an inflection point in the scalar potential can produce a large resonance in the power spectrum of curvature perturbation. In this paper however we show that the previous analyses…

Cosmology and Nongalactic Astrophysics · Physics 2017-09-06 Cristiano Germani , Tomislav Prokopec