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20152024
most citedBondi-Sachs Formalism

146 citations · 313 across the 13 of their papers we have counts for

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11 papers · 1 filter

gr-qc2024★ 7 cited

Bounds for Lyapunov exponent of circular light orbits in black holes

Emanuel Gallo, Thomas Mädler

Chaotic systems near black holes satisfy a universal bound, linking the Lyapunov coefficient associated with unstable orbits to surface gravity of the event h…

gr-qc2024

Apparent horizon tracking in supercritical solutions of the Einstein-scalar field equations in spherical symmetry in affine-null coordinates

Thomas Mädler, Olaf Baake, Hamideh Hosseini +1

Choptuik's critical phenomena in general relativity is revisited in the affine-null metric formulation of Einstein's equations for a massless scalar field in spherical symmetry. Nu…

gr-qc2023★ 5 cited

Slowly rotating Kerr metric derived from the Einstein equations in affine-null coordinates

Thomas Mädler, Emanuel Gallo

Using a quasi-spherical approximation of an affine-null metric adapted to an asymptotic Bondi inertial frame, we present high order approximations of the metric functions in terms…

gr-qc2022★ 24 cited

Shadows of rotating black holes in plasma environments with aberration effects

Gastón Briozzo, Emanuel Gallo, Thomas Mädler

The shadows of black holes encode significant information about the properties of black holes and the spacetime surrounding them. So far, the effects of dispersive media, such as p…

gr-qc2021★ 1 cited

Spherically symmetric black holes and affine-null metric formulation of Einstein's equations

Emanuel Gallo, Carlos Kozameh, Thomas Mädler +2

The definition of well-behaved coordinate charts for black hole spacetimes can be tricky, as they can lead for example to either unphysical coordinate singularities in the metric (…

gr-qc2019★ 7 cited

Editorial Note to: On the Newtonian Limit of Einstein's Theory of Gravitation (by Jürgen Ehlers)

Thomas Buchert, Thomas Mädler

We give an overview of literature related to Jürgen Ehlers' pioneering 1981 paper on Frame theory--a theoretical framework for the unification of General Relativity and the equatio…

gr-qc2018★ 10 cited

Kerr Black Holes and Nonlinear Radiation Memory

Thomas Mädler, Jeffrey Winicour

The Minkowski background intrinsic to the Kerr-Schild version of the Kerr metric provides a definition of a boosted spinning black hole. There are two Kerr-Schild versions correspo…

gr-qc2017★ 9 cited

Boosted Schwarzschild Metrics from a Kerr-Schild Perspective

Thomas Mädler, Jeffrey Winicour

The Kerr-Schild version of the Schwarzschild metric contains a Minkowski background which provides a definition of a boosted black hole. There are two Kerr-Schild versions correspo…

gr-qc2017★ 14 cited

Radiation Memory, Boosted Schwarzschild Spacetimes and Supertranslations

Thomas Mädler, Jeffrey Winicour

We investigate gravitational radiation memory and its corresponding effect on the asymptotic symmetries of a body whose exterior is a boosted Schwarzschild spacetime. First, in the…

gr-qc2016★ 146 cited

Bondi-Sachs Formalism

Thomas Mädler, Jeffrey Winicour

The Bondi-Sachs formalism of General Relativity is a metric-based treatment of the Einstein equations in which the coordinates are adapted to the null geodesics of the spacetime. I…

gr-qc2016★ 35 cited

The sky pattern of the linearized gravitational memory effect

Thomas Mädler, Jeffrey Winicour

The gravitational memory effect leads to a net displacement in the relative positions of test particles. This memory is related to the change in the strain of the gravitational rad…