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We make the case for the existence of a, hitherto unknown and unobserved, hierarchy of ever more compact cosmic objects in the universe. This hypothesis is based on i) the assumption of "elementary" particle sub-constituents on several…

Astrophysics · Physics 2011-03-17 Johan Hansson

We show that in quadratic gravity sufficiently light objects must be horizonless and construct explicit analytic examples of horizonless ultracompact objects (UCOs), which are more compact than Schwarzschild black holes. Due to the…

General Relativity and Quantum Cosmology · Physics 2020-02-18 Alberto Salvio , Hardi Veermäe

In light of increasing observational evidence supporting the existence of ultra-compact objects, we adopt the term astrophysical black hole to refer to any object having a huge mass confined within a sufficiently small region of spacetime.…

General Relativity and Quantum Cosmology · Physics 2026-03-19 Jay Verma Trivedi , Pankaj S. Joshi , Gopal-Krishna , Peter L. Biermann

Many black hole (BH) candidates have been discovered in X-ray binaries and in the nuclei of galaxies. The prediction of Einstein's general relativity is that BHs have an event horizon --- a one-way membrane through which particles fall into…

High Energy Astrophysical Phenomena · Physics 2017-04-12 Wenbin Lu , Pawan Kumar , Ramesh Narayan

We propose the existence of ultracompact minihalos as a new type of massive compact halo object (MACHO) and suggest an observational test to discover them. These new MACHOs are a powerful probe into the nature of dark matter and physics in…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-13 M. Ricotti , A. Gould

Spherically symmetric bosonic stars are one of the few examples of gravitating solitons that are known to form dynamically, via a classical process of (incomplete) gravitational collapse. As stationary solutions of the…

General Relativity and Quantum Cosmology · Physics 2017-11-29 Pedro V. P. Cunha , José A. Font , Carlos Herdeiro , Eugen Radu , Nicolas Sanchis-Gual , Miguel Zilhão

This article is devoted to the investigation of the observational properties of the Schwarzschild black hole (BH) surrounded by a dark matter (DM) halo. Our study commences with a brief review of spacetime, including the horizon structure…

General Relativity and Quantum Cosmology · Physics 2026-03-11 Zhiyu Dou , Akbar Davlataliev , Mirzabek Alloqulov , Ahmadjon Abdujabbarov , Bobomurat Ahmedov , Chengxun Yuan , Chen Zhou

We consider a static, axially symmetric spacetime describing the superposition of a Schwarzschild black hole (BH) with a thin and heavy accretion disk. The BH-disk configuration is a solution of the Einstein field equations within the Weyl…

General Relativity and Quantum Cosmology · Physics 2023-03-17 Pedro V. P. Cunha , Nelson A. Eiró , Carlos A. R. Herdeiro , José P. S. Lemos

We present a novel method to study interacting orbits in a fixed mean gravitational field associated with a solution of the Einstein field equations. The idea is to consider the Newton gravity among the orbiting particles in a geometry…

Astrophysics · Physics 2007-05-23 Eduardo Gueron , Patricio S. Letelier

Aims: In the present work we search for a new model of compact star within embedding class one spacetime i.e., four dimensional spacetime embedded in five dimensional Pseudo Euclidean space. Methods: In particular we propose a new mass…

General Physics · Physics 2017-10-11 S. K. Maurya , Y. K. Gupta , Farook Rahaman , Monsur Rahaman , Ayan Banerjee

The close limit approximation of binary black hole is a powerful method to study gravitational-wave emission from highly non-linear geometries. In this work, we use it as a tool to model black hole spacetimes in theories of gravity with a…

General Relativity and Quantum Cosmology · Physics 2021-12-22 Lorenzo Annulli

These notes are adapted from six lectures that I delivered at Analogue Gravity in Benasque 2023. They present the unified Gaussian (phase-space) framework to describe linear bosonic quantum systems, the standard tool in quantum optics and…

General Relativity and Quantum Cosmology · Physics 2026-01-01 Anthony J. Brady

We discuss vacuum decays catalyzed by spherical and horizonless objects and show that an ultra compact object could catalyze a vacuum decay around it within the cosmological time. The catalytic effect of a horizonless compact object could…

General Relativity and Quantum Cosmology · Physics 2019-03-08 Naritaka Oshita , Masaki Yamada , Masahide Yamaguchi

Although the black holes are an integral part of the standard model of astrophysics and cosmology, their existence poses some serious fundamental problems. In recent years, several horizonless compact object models were proposed to address…

General Relativity and Quantum Cosmology · Physics 2021-08-18 Mostafizur Rahman , Arpan Bhattacharyya

It is known that there exist theoretical limits on the mass of compact objects in general relativity. One is the Buchdahl limit for an object with an arbitrary equation-of-state that turns out to be the limit for an object with uniform…

General Relativity and Quantum Cosmology · Physics 2026-03-09 Edwin J. Son

In this article the static Einstein-Vlasov-Maxwell system is considered in spherical symmetry. This system describes an ensemble of charged particles interacting by general relativistic gravity and Coulomb forces. First, a proof for local…

General Relativity and Quantum Cosmology · Physics 2019-10-09 Maximilian Thaller

A new class of analytically expressible vacuum solutions has recently been discovered for pure ${R}^2$ gravity, building upon Buchdahl's seminal work from 1962. These solutions, inspired by Buchdahl's framework, offer a promising avenue for…

General Relativity and Quantum Cosmology · Physics 2025-04-17 Jian-Ming Yan , Tao Zhu , Qiang Wu

Quantum black holes (BHs), thought of as an excited multilevel system, can be effectively modelled by replacing an event horizon with a partially reflective membrane. This emergent feature affects their interaction with hosting…

General Relativity and Quantum Cosmology · Physics 2024-11-05 Soumodeep Mitra , Sumanta Chakraborty , Rodrigo Vicente , Justin C. Feng

Circa 1962 Hans A. Buchdahl pioneered a program -- and made significant progress -- seeking vacuo configurations in pure $\mathcal{R}^{2}$ gravity [H. A. Buchdahl, Nuovo Cimento 23, 141 (1962)]. Unfortunately, he deemed the final step in…

General Relativity and Quantum Cosmology · Physics 2023-10-31 Hoang Ky Nguyen

The nature of dark matter (DM) remains unknown despite very precise knowledge of its abundance in the universe. An alternative to new elementary particles postulates DM as made of macroscopic compact halo objects (MACHO) such as black holes…

Cosmology and Nongalactic Astrophysics · Physics 2018-10-10 Miguel Zumalacarregui , Uros Seljak