Numerical methods for finding stationary gravitational solutions

ÓJC Dias, JE Santos, B Way - Classical and Quantum Gravity, 2016 - iopscience.iop.org
The wide applications of higher dimensional gravity and gauge/gravity duality have fuelled
the search for new stationary solutions of the Einstein equation (possibly coupled to matter) …

Instabilities of black strings and branes

T Harmark, V Niarchos, NA Obers - Classical and Quantum …, 2007 - iopscience.iop.org
We review recent progress on the instabilities of black strings and branes both for pure
Einstein gravity as well as supergravity theories which are relevant for string theory. We …

Black hole superradiant instability for massive spin-2 fields

OJC Dias, G Lingetti, P Pani, JE Santos - Physical Review D, 2023 - APS
Because of coherent superradiant amplification, massive bosonic fields can trigger an
instability in spinning black holes, tap** their energy and angular momentum and forming …

Mimicking the QCD equation of state with a dual black hole

SS Gubser, A Nellore - Physical Review D—Particles, Fields, Gravitation, and …, 2008 - APS
We present numerical and analytical studies of the equation of state of translationally
invariant black hole solutions to five-dimensional gravity coupled to a single scalar. As an …

Generalized uncertainty principle, extra dimensions and holography

F Scardigli, R Casadio - Classical and Quantum Gravity, 2003 - iopscience.iop.org
We consider uncertainty principles which take into account the role of gravity and the
possible existence of extra spatial dimensions. Explicit expressions for such generalized …

Static black binaries in de Sitter space

ÓJC Dias, GW Gibbons, JE Santos, B Way - Physical Review Letters, 2023 - APS
We construct the first four-dimensional multiple black hole solution of general relativity with a
positive cosmological constant. The solution consists of two static black holes whose …

Instability of ultra-spinning black holes

R Emparan, RC Myers - Journal of High Energy Physics, 2003 - iopscience.iop.org
It has long been known that, in higher-dimensional general relativity, there are black hole
solutions with an arbitrarily large angular momentum for a fixed mass [1]. We examine the …

A new approach to static numerical relativity and its application to Kaluza–Klein black holes

M Headrick, S Kitchen, T Wiseman - Classical and quantum …, 2010 - iopscience.iop.org
We propose a framework for solving the Einstein equation for static and Euclidean metrics.
First, we address the issue of gauge-fixing by borrowing from the Ricci-flow literature the so …

Static axisymmetric vacuum solutions and non-uniform black strings

T Wiseman - Classical and Quantum Gravity, 2003 - iopscience.iop.org
We describe new numerical methods to solve the static axisymmetric vacuum Einstein
equations in more than four dimensions. As an illustration, we study the compactified non …

Non-relativistic gravitation: from Newton to Einstein and back

B Kol, M Smolkin - Classical and Quantum Gravity, 2008 - iopscience.iop.org
We present an improvement to the classical effective theory approach to the non-relativistic
or post-Newtonian approximation of general relativity. The'potential metric field'is …