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The Weyl and Ricci tensors can be algebraically classified in a Lorentzian spacetime of arbitrary dimensions using alignment theory. Used in tandem with the boost weight decomposition and curvature operators, the algebraic classification of…

General Relativity and Quantum Cosmology · Physics 2010-11-10 Alan Coley , Sigbjorn Hervik

We numerically study the algebraic properties of the Weyl tensor through the merger of two non-spinning black holes (BHs). We are particularly interested in the conjecture that for such a vacuum spacetime, which is zeroth-order…

General Relativity and Quantum Cosmology · Physics 2021-09-01 Alan Coley , Jeremy M Peters , Erik Schnetter

We study curvature invariants in a binary black hole merger. It has been conjectured that one could define a quasi-local and foliation independent black hole horizon by finding the level--$0$ set of a suitable curvature invariant of the…

General Relativity and Quantum Cosmology · Physics 2022-06-16 Jeremy M. Peters , Alan Coley , Erik Schnetter

The near horizon geometry of extremal rotating black hole in arbitrary dimension possesses SO(2,1)xU(n) symmetry in the special case that all n rotation parameters are equal. We consider a conformal particle associated with such a maximally…

High Energy Physics - Theory · Physics 2013-05-30 Anton Galajinsky

We interpret the general rotating black holes in five dimensions as rotating black strings in six dimensions. In the near horizon limit the geometry is locally AdS_3 x S_3, as in the nonrotating case. However, the global structure couples…

High Energy Physics - Theory · Physics 2009-09-17 Mirjam Cvetic , Finn Larsen

In many cases, the near-horizon geometry encodes sufficient information to compute conserved charges of a gravitational solution, including thermodynamic quantities. These charges are Noether charges associated to asymptotic isometries that…

High Energy Physics - Theory · Physics 2023-08-09 Gaston Giribet , Juan Laurnagaray , Pedro Schmied

Certain supersymmetric elementary string states with angular momentum can be viewed as small black rings in a five-dimensional string theory. These black rings have zero area event horizon. The 4D-5D connection relates these small rings to…

High Energy Physics - Theory · Physics 2025-04-15 Subhodip Bandyopadhyay , Gurmeet Singh Punia , Yogesh K. Srivastava , Amitabh Virmani

For a stationary and axisymmetric black hole, there is a natural way to split the fields into a probe sector and a background sector. The equations of motion for the probe sector enjoy a significantly enhanced symmetry on the black hole…

High Energy Physics - Theory · Physics 2014-04-23 Jianwei Mei

Five-dimensional stringy rotating black holes are embedded into N=2 supergravity interacting with one vector multiplet. The existence of an unbroken supersymmetry of the rotating solution is proved directly by solving the Killing spinor…

High Energy Physics - Theory · Physics 2009-12-30 Renata Kallosh , Arvind Rajaraman , Wing Kai Wong

We study nondifferentiable metrics occuring in general relativity via the method of equivalence of Cartan adapted to the Courant algebroids. We derive new local differential invariants naturally associated with the loci of…

Differential Geometry · Mathematics 2022-10-06 Alexander Golubev

We consider generic static spacetimes with Killing horizons and study properties of curvature tensors in the horizon limit. It is determined that the Weyl, Ricci, Riemann and Einstein tensors are algebraically special and mutually aligned…

General Relativity and Quantum Cosmology · Physics 2009-11-11 V. Pravda , O. B. Zaslavskii

We determine the asymptotic symmetry group of Killing horizons by choosing Gaussian null coordinates in the neighbourhood of the horizon and boundary conditions that respect the leading order terms in the metric. The analysis divides…

High Energy Physics - Theory · Physics 2017-11-22 Emil T. Akhmedov , Mahdi Godazgar

The Horizon Quantum Mechanics is an approach that was previously introduced in order to analyse the gravitational radius of spherically symmetric systems and compute the probability that a given quantum state is a black hole. In this work,…

General Relativity and Quantum Cosmology · Physics 2017-06-28 Roberto Casadio , Andrea Giugno , Andrea Giusti , Octavian Micu

We compute the first-order $\alpha'$-corrections to a general family of supersymmetric heterotic backgrounds which describes a rotating superposition of a fundamental string and a momentum wave. We focus on a particular solution within this…

High Energy Physics - Theory · Physics 2021-07-28 Alejandro Ruipérez

We consider the metric of an axially symmetric rotating black hole. We do not specify the concrete form of a metric and rely on its behavior near the horizon only. Typically, it is characterized (in the coordinates that generalize the…

General Relativity and Quantum Cosmology · Physics 2023-09-01 H. V. Ovcharenko , O. B. Zaslavskii

We construct new stationary Ricci-flat metrics of cohomogeneity 2 in five dimensions, which generalise the Myers-Perry rotating black hole metrics by adding a further non-trivial parameter. We obtain them via a construction that is…

High Energy Physics - Theory · Physics 2008-11-26 H. Lu , Jianwei Mei , C. N. Pope

Despite all attempts, exact solutions for black rings in more than five dimensions remain elusive. In this paper we clarify some of the reasons for that, in particular we show that a peculiar symmetry of the five--dimensional black ring -…

High Energy Physics - Theory · Physics 2015-12-30 Yuri Chervonyi

In principle, the local classification of spacetimes is always possible using the Cartan-Karlhede algorithm. However, in practice, the process of determining equivalence of two spacetimes is potentially computationally difficult or not at…

General Relativity and Quantum Cosmology · Physics 2023-12-19 C. Brown , M. Gorban , W. Julius , R. Radhakrishnan , G. Cleaver , D. McNutt

We discuss various physical aspects of nonextremal, extremal and supersymmetric black holes in asymptotically anti-de Sitter (ADS) spacetimes. Specifically, we discuss how the isolated horizon (IH) framework leads to an ambiguity-free…

General Relativity and Quantum Cosmology · Physics 2008-12-18 Ivan Booth , Tomas Liko

With Advanced LIGO detecting the gravitational waves emitted from a pair of merging black holes in late 2015, we have a new perspective into the strong field regime of binary black hole systems. Event horizons are the defining features of…

General Relativity and Quantum Cosmology · Physics 2016-09-07 Andy Bohn , Lawrence E. Kidder , Saul A. Teukolsky