Two new high-order well-balanced schemes (CWENO finite difference on Cartesian grids and ADER DG on unstructured meshes) are proposed and validated for the Einstein-Euler system in generalized harmonic gauge, including stable long-term evolutions of Kerr black holes and perturbed neutron stars.
The Kerr spacetime: A brief introduction
6 Pith papers cite this work. Polarity classification is still indexing.
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Pith papers citing it
abstract
This chapter provides a brief introduction to the Kerr spacetime and rotating black holes, touching on the most common coordinate representations of the spacetime metric and the key features of the geometry -- the presence of horizons and ergospheres. The coverage is by no means complete, and serves chiefly to orient oneself when reading subsequent chapters.
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An external magnetic field induces an ergosphere in the magnetized Reissner-Nordström spacetime, enabling the electric Penrose process with efficiency set by metric coefficients, electromagnetic potential, and critical magnetic field values that mark onset and suppression of extraction.
Applies KCC theory for Jacobi stability analysis of geodesics in dynamical Chern-Simons rotating black holes and compares advantages versus Lyapunov stability.
Astronomical objects from asteroids to stars mostly follow a cohesive mass-density sequence reflecting gravitational contraction and nuclear ignition, while compact stellar remnants deviate from it.
Plebanski's chiral 2-form formulation of GR reveals additional structure in Einstein's equations and supplies new analytical and numerical tools.
A pedagogical review of Love numbers and tidal responses for black holes and compact objects in general relativity and extensions.
citing papers explorer
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High order numerical discretizations of the Einstein-Euler equations in the Generalized Harmonic formulation
Two new high-order well-balanced schemes (CWENO finite difference on Cartesian grids and ADER DG on unstructured meshes) are proposed and validated for the Einstein-Euler system in generalized harmonic gauge, including stable long-term evolutions of Kerr black holes and perturbed neutron stars.
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Remarks on electrical Penrose process for magnetized Reissner-Nordstr\"om black hole
An external magnetic field induces an ergosphere in the magnetized Reissner-Nordström spacetime, enabling the electric Penrose process with efficiency set by metric coefficients, electromagnetic potential, and critical magnetic field values that mark onset and suppression of extraction.
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Stability analysis of geodesics in dynamical Chern-Simons black holes: a geometrical perspective
Applies KCC theory for Jacobi stability analysis of geodesics in dynamical Chern-Simons rotating black holes and compares advantages versus Lyapunov stability.
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The Cohesive Object Sequence: The Mass-Density Distribution of Astronomical Objects from Asteroids to Stars
Astronomical objects from asteroids to stars mostly follow a cohesive mass-density sequence reflecting gravitational contraction and nuclear ignition, while compact stellar remnants deviate from it.
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General Relativity via differential forms -- explorations in Plebanski's Formalism for GR
Plebanski's chiral 2-form formulation of GR reveals additional structure in Einstein's equations and supplies new analytical and numerical tools.
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Love numbers of black holes and compact objects
A pedagogical review of Love numbers and tidal responses for black holes and compact objects in general relativity and extensions.