Publications related to Schwarzschild coordinates

A proof of the instability of AdS for the Einstein-massless Vlasov system

In recent years, the conjecture on the instability of Anti-de Sitter spacetime, put forward by Dafermos-Holzegel (Dynamic instability of solitons in 4 + 1 dimesnional gravity with negative cosmological constant, 2006. https://www.dpmms.cam.ac.uk/similar to ...

SPRINGER HEIDELBERG2022

Asymptotic dynamic for dipolar Quantum Gases below the ground state energy threshold

Luigi Forcella

We consider the Gross-Pitaevskii equation describing a dipolar Bose-Einstein condensate without external confinement. We first consider the unstable regime, where the nonlocal nonlinearityis neither positive nor radially symmetric and standing states are k ...

2019

Convex Optimization using Sparsified Stochastic Gradient Descent with Memory

Jean-Baptiste Francis Marie Juliette Cordonnier

The interest for distributed stochastic optimization has raised to train complex Machine Learning models with more data on distributed systems. Increasing the computation power speeds up the training but it faces a communication bottleneck between workers ...

2018

Vestibular modulation of peripersonal space boundaries

Olaf Blanke, Andrea Serino, Jean-Paul Noel, Christian Pfeiffer

Human-environment interactions are mediated through the body and occur within the peripersonal space (PPS), the space immediately adjacent to and surrounding the body. The PPS is taken to be a critical interface between the body and the environment, and in ...

2018

Design versus Assessment of Concrete Structures Using Stress Fields and Strut-and-Tie Models

Aurelio Muttoni, Miguel Fernández Ruiz, Filip Niketic

Stress fields and strut-and-tie models are widely used for design and assessment of structural concrete members. Although they are often used in the same manner for both purposes, developing suitable stress fields and strut-and-tie models for the design of ...

2015

General coordinate invariance in quantum many-body systems

Alexander Monin, Solomon G Shamsuddin Osman Endlich

We extend the notion of general coordinate invariance to many-body, not necessarily relativistic, systems. As an application, we investigate nonrelativistic general covariance in Galilei-invariant systems. The peculiar transformation rules for the backgrou ...

Amer Physical Soc2014

A proof of Price's Law on Schwarzschild black hole manifolds for all angular momenta

Roland Donninger

Price's Law states that linear perturbations of a Schwarzschild black hole fall off as

t^{-2\ell-3}

for

t \to \infty

provided the initial data decay sufficiently fast at spatial infinity. Moreover, if the perturbations are initially static (i.e., their ...

2011

The scaled boundary finite-element method – alias consistent infinitesimal finite-element cell method – for unbounded media

Jonathan Leon Wolf

The scaled boundary finite-element method, alias the consistent infinitestimal finite-element cell method, is developed. The governing partial differential equations of linear elastodynamics are transformed to a system of linear second-order ordinary diffe ...

1998

Schwarzschild coordinates

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A proof of the instability of AdS for the Einstein-massless Vlasov system

Asymptotic dynamic for dipolar Quantum Gases below the ground state energy threshold

Convex Optimization using Sparsified Stochastic Gradient Descent with Memory

Vestibular modulation of peripersonal space boundaries

Design versus Assessment of Concrete Structures Using Stress Fields and Strut-and-Tie Models

General coordinate invariance in quantum many-body systems

A proof of Price's Law on Schwarzschild black hole manifolds for all angular momenta

The scaled boundary finite-element method – alias consistent infinitesimal finite-element cell method – for unbounded media

Asymptotic dynamic for dipolar Quantum Gases below the ground state energy threshold

A proof of Price's Law on Schwarzschild black hole manifolds for all angular momenta

A proof of the instability of AdS for the Einstein-massless Vlasov system

Convex Optimization using Sparsified Stochastic Gradient Descent with Memory

Vestibular modulation of peripersonal space boundaries

General coordinate invariance in quantum many-body systems

The scaled boundary finite-element method – alias consistent infinitesimal finite-element cell method – for unbounded media

Design versus Assessment of Concrete Structures Using Stress Fields and Strut-and-Tie Models