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These lectures review some of the recent progress in uncovering the phase structure of black hole solutions in higher-dimensional vacuum Einstein gravity. The two classes on which we focus are Kaluza-Klein black holes, i.e. static solutions…

High Energy Physics - Theory · Physics 2009-01-28 Niels A. Obers

We consider the singular configurations of gravitating gas [1] which could be used as a model for disk galaxies. The simplest steady configuration, which corresponds to rotation of stars around center gives flat rotational curve, provided…

Astrophysics · Physics 2007-05-23 G. Pronko

We introduce new methods to numerically construct for the first time stationary axisymmetric black hole solutions in Einstein-aether theory and study their properties. The key technical challenge is to impose regularity at the spin-2, 1,…

General Relativity and Quantum Cosmology · Physics 2022-06-22 Alexander Adam , Pau Figueras , Ted Jacobson , Toby Wiseman

We investigate the geodesic structure of realistic static and spherically symmetric spacetimes embedding neutron stars in metric $f(R)$ gravity, focusing on the quadratic Starobinsky model $f(R)=aR^2$ with $a<0$. Neutron-star solutions are…

General Relativity and Quantum Cosmology · Physics 2026-03-10 Néstor Rivero González , Álvaro de la Cruz Dombriz , Gonzalo J. Olmo

The domain of outer communication of five-dimensional asymptotically flat stationary spacetimes may possess non-trivial 2-cycles. We discuss how this may lead to a gross violation of black hole uniqueness, beyond the existence of black…

High Energy Physics - Theory · Physics 2017-04-14 Hari K. Kunduri , James Lucietti

In a recent publication, we have demonstrated that differentially rotating stars admit new channels of black hole formation via fragmentation instabilities. Since a higher order instability of this kind could potentially transform a…

In Einstein-Maxwell theory, according to classic uniqueness theorems, the most general stationary black-hole solution is the axisymmetric Kerr-Newman metric, which is defined by three parameters: mass, spin and electric charge. The radial…

General Relativity and Quantum Cosmology · Physics 2013-10-02 Paolo Pani , Emanuele Berti , Leonardo Gualtieri

We construct a generalization of the AdS charged rotating black holes with two equal magnitude angular momenta in five-dimensional minimal gauged supergravity. In addition to the mass, electric charge and angular momentum, the new solutions…

General Relativity and Quantum Cosmology · Physics 2017-05-31 Jose Luis Blázquez-Salcedo , Jutta Kunz , Francisco Navarro-Lérida , Eugen Radu

The present paper is devoted to a study of the equilibrium configurations of slowly rotating anisotropic stars in the framework of general relativity. For that purpose, we provide the equations of structure where the rotation is treated to…

General Relativity and Quantum Cosmology · Physics 2024-07-23 Philip Beltracchi , Camilo Posada

We investigate rotating black holes obtained by applying a Kaluza-Klein boost to the Kerr-Taub-NUT spacetime and study the resulting four-dimensional geometry and thermodynamics after dimensional reduction. The boost along the compact…

General Relativity and Quantum Cosmology · Physics 2026-05-12 Hasan Oguz , Goksel Daylan Esmer

A generalization of the Majumdar-Papapetrou multi-black hole spacetime was recently constructed by Teo and Wan [1], describing charged and spinning (extremal) balanced black holes in asymptotically flat spacetime. We explore the dynamics of…

General Relativity and Quantum Cosmology · Physics 2025-02-05 Zeus S. Moreira , Carlos A. R. Herdeiro , Luís C. B. Crispino

We study the problem of stationary bi-axially symmetric solutions of the $5$-dimensional minimal supergravity equations. Essentially all possible solutions with nondegenerate horizons are produced, having the allowed horizon cross-sectional…

General Relativity and Quantum Cosmology · Physics 2023-01-06 Aghil Alaee , Marcus Khuri , Hari Kunduri

By employing the new ultraspinning limit we construct novel classes of black holes with non-compact event horizons and finite horizon area and study their thermodynamics. Our ultraspinning limit can be understood as a simple generating…

High Energy Physics - Theory · Physics 2015-07-28 Robie A. Hennigar , David Kubiznak , Robert B. Mann , Nathan Musoke

In this work, we consider a very simple gravitational theory that contains a scalar field with its kinetic and potential terms minimally coupled to gravity, while the scalar field is assumed to have a coulombic form. In the context of this…

General Relativity and Quantum Cosmology · Physics 2022-04-21 Athanasios Bakopoulos , Theodoros Nakas

We find supergravity solutions corresponding to all U(1) x U(1) invariant chiral primaries of the D1-D5-KK system. These solutions are 1/8 BPS, carry angular momentum, and are asymptotically flat in the 3+1 dimensional sense. They can be…

High Energy Physics - Theory · Physics 2009-11-11 Iosif Bena , Per Kraus

We study the full spectrum of spherically symmetric solutions in the five dimensional non-projectable Horava-Lifshitz type gravity theories. For appropriate ranges of the coupling parameters, we have found several classes of solutions which…

High Energy Physics - Theory · Physics 2014-11-20 G. Koutsoumbas , E. Papantonopoulos , P. Pasipoularides , M. Tsoukalas

We construct a new Ricci-flat metric by demagnetizing the recently reported Kerr-Bertotti-Robinson (KBR) solution. The metric is a deformation of the Kerr metric characterized by a parameter $B$, so that the asymptotic Kerr becomes a…

General Relativity and Quantum Cosmology · Physics 2026-05-22 Liang Ma , H. Lu

We prove existence of all possible bi-axisymmetric near-horizon geometries of 5-dimensional minimal supergravity. These solutions possess the cross-sectional horizon topology $S^3$, $S^1\times S^2$, or $L(p,q)$ and come with prescribed…

High Energy Physics - Theory · Physics 2021-01-20 Aghil Alaee , Marcus Khuri , Hari Kunduri

Axially symmetric spacetimes play an important role in the relativistic description of rotating astrophysical objects like black holes, stars, etc. In gravitational theories that venture beyond the usual Riemannian geometry by allowing…

General Relativity and Quantum Cosmology · Physics 2021-02-26 Sebastian Bahamonde , Jorge Gigante Valcarcel , Laur Järv , Christian Pfeifer

This paper studies the structural formation of various spherically symmetric anisotropic configured stars in $f(\mathcal{R},\mathcal{T},\mathcal{Q})$ gravity under the influence of electromagnetic field, where…

General Relativity and Quantum Cosmology · Physics 2023-07-24 M. Sharif , Tayyab Naseer