Relativity Seminar
of the Institute of Theoretical Physics

fall 2018

Given seminars:

July 24, 2018
The type D and the near-horizon geometry equations
Prof. Jerzy Lewandowski
Institute of Theoretical Physics, University of Warsaw
September 25, 2018
Black holes as probes of fundamental physics
Robert Benkel
University of Nottingham, UK
September 27, 2018
Shadow of black holes at cosmological distances
Dr. Oleg Yu. Tsupko
Space Research Institute of Russian Academy of Sciences, Moscow
October 2, 2018
Remarks on ghost-free theories
Prof. Valeri P. Frolov
Department of Physics, University of Alberta, Edmonton
October 5, 2018
Hyperbolicity of relativistic fluids
Dr. David Hilditch
Centro Multidisciplinar de Astrofisica, IST, University of Lisbon

I will discuss conditions for the well-posedness of the initial value problem for evolution type PDEs. Well-posedness is a necessary condition for any numerical approximation to converge in the limit of infinite resolution. The crucial condition is that of strong-hyperbolicity. I will then consider various fluid models and highlight in particular the difficulties faced in particular in the modeling of stars. Several popular formulations of MHD turn out to be ill-posed.

October 5, 2018
!!! FRIDAY from 13:10 !!!
Gravitational-wave astrophysics: a new era of discovery
Dr. Jessica McIver
California Institute of Technology
October 9, 2018
Derrick’s theorem on curved spacetime and the stability of relativistic stars in modified gravity
Dr. Sante Carloni
Centro Multidisciplinar de Astrofisica, IST, University of Lisbon

I will present a generalisation of Derick theorem to the case of curved spacetime. As a consequence of this generalisation, relativistic boson stars are proved to be always unstable. Derrick’s theorem has profound consequences also on modified gravity, and in particular on theories with an additional scalar degrees of freedom. I will comment extensively on these consequences.

October 16, 2018
The next big thing: extreme-mass-ratio inspiral
(Impressions from 2018 Capra conference)
Dr. Tomáš Ledvinka
October 23, 2018
Uniformly accelerating, yet standing still
(On boost-rotation, topology of G-->0 limit of C-metric, higher dimensions, and linearized gravity)
Dr. David Kofroň

The search for the C-metric in higher dimensions is still unsuccessful and ongoing project. I wanted, also unsuccessfully, to find a simple solution to general boost-rotation symmetric metric in higher dimensions (generalization of Bonnor-Swaminayaran solutions). Finally I ended up in the linearized gravity to gain some insight in this topics and to learn some lessons. Based on work in progress this would be more discussion open seminar than a lecture.

October 30, 2018
Twistor equation on isolated horizons
Mgr. Dávid Matejov

The seminar will be devoted to investigation of possible solutions of the celebrated twistor equation on a special spacetime domain representing a black hole - an isolated horizon. First, the basic definitions and results on isolated horizons will be summarized. Than we move to definition of the so called Penrose mass and explain how it is connected to the twistor equation. Finally, we will discuss our results and future plans.

November 6, 2018
Propagators of the wave equation on low-regularity spacetimes
Dr. Yafet Erasmo Sanchez Sanchez
Max Planck Institute for Mathematics, Bonn

I will define classical and non-classical solutions of the wave equation. I will give some motivations about why low regularity scenarios are interesting. Finally, I will focus on the classical ones and discuss their relationship with quantum field theory in spacetimes with limited regularity.

November 13, 2018
New closed solutions for thick fluid tori near black holes
Dr. Vojtěch Witzany
Astronomical Institute of the Academy of Sciences

When accretion onto a black hole occurs either at a fast or a slow rate, radiation stops cooling the accretion flow efficiently and the accretion disk becomes hot and geometrically thick. After a broader introduction to this topic, I will present new closed analytical solutions for geometrically thick fluid equilibria near black holes that can be used as initial conditions for simulations of such radiatively inefficient accretion flows. I will also show some simple magneto-hydrodynamic simulations in which we investigated possible consequences of varying the initial conditions for astrophysical predictions.

November 20, 2018
Gravitational microlensing by three-body systems
Dr. David Heyrovský
November 27, 2018
How (not) to swim in spacetime
Bc. Vítek Veselý

The motion of a system of test point masses acting on one another in a curved spacetime is, in general, different from the motion of a single test point mass, i.e., different from a geodesic. The two effects which change the final trajectory of an extended body are called swinging and swimming. A simple example of such a body is a “glider” (or a "dumbbell") consisting of two point masses, whose coordinate distance can be modified as a function of time. We study the radial fall of this object described by a controlled Lagrangian along a radial in the Schwarzschild spacetime. We outline the published conclusions concerning this model and present our own results, which include the change of velocity of the dumbbell and the multiple-oscillations scenario. The deviation from the geodesic motion of the glider apparently diverges in the regions of very small and very large frequencies of oscillations. We offer a partial explanation of this behaviour in the low-frequency region and an estimate of the large critical frequencies. Further, we discuss the sufficiency of this model in these regions by studying the energy of the system and its compatibility with Dixon’s theory of extended bodies.

December 4, 2018
Type D conformal initial data
Dr. Alfonso García-Parrado Gómez-Lobo

For a vacuum initial data set of the Einstein field equations it is possible to carry out a conformal rescaling or conformal compactification of the data. This gives rise to a conformal hyperboloidal initial data set for the vacuum conformal equations. When will the conformal data development of this initial data set be a conformal extension of a vacuum type D solution? In this work we provide an answer to this question. As an application of our construction we find a set of conditions for the data of the conformal equations which guarantees that its development is conformal to the Kerr solution.

December 11, 2018
Reduced phase space optics for general relativity
Nezihe Uzun, PhD.

Reciprocity relations in physics signal the existence of potentiality of a system. Maxwell-Betti reciprocity for virtual work in elasticity, Onsager’s reciprocity in thermodynamics or quantum mechanical reciprocity of the received signal all state that the observables are unchanged when the input and output agents are traversed. These distinct systems share a similar property: they are defined under some well-defined symplectic potential. The work we present here grew out of questioning what kind of potentiality Etherington’s distance reciprocity in relativity corresponds to. The outcome of such an investigation turns out to be a symplectic phase space reformulation of first order geometric optics within a Machian setting. This opens up a vast area of potential applications for astrophysical and cosmological light propagation scenarios which will also be summarized in this talk.

December 20, 2018
Unravelling the mysteries of exploding massive stars
Dr. Bernhard Mueller
School of Physics & Astronomy, Monash University, Victoria, Australia

Core-collapse supernovae, the explosions of massive stars, have remained one of the outstanding challenges in computational astrophysics for decades, and the mechanism by which they explode has long eluded us. Recently, however, it has become possible to perform 3D radiation hydrodynamics simulations, and there is a growing body of models that develop successful explosions. One of the main challenges is now to corroborate the simulations by confronting them with observables. In this talk I shall outline to what extent the models make predictions that can be tested by current and future observations. Multi-dimensional simulations have already furnished quite mature predictions for gravitational wave (GW) and neutrino signals, whose diagnostic power would be considerable in the event of a Galactic supernova, especially for a nearby event and with 3rd generation GW detectors. In the most optimistic case, one could obtain time-dependent measurements of neutron star and shock parameters. Predicting other observational signatures, such as light curves and spectra, remains a bigger challenge for first-principle models. Nonetheless there is progress on this front as well thanks to the advent of multi-dimensional long-time simulations that now seem broadly compatible with observed neutron star birth properties.

Other semesters:

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