Scientific Programme

The lectures will cover:

  • Numerical Relativity focusing on Exotic Compact Objects and Fundamental Physics.
  • Gravitational Wave Astronomy and Data Analysis focusing on Exotic Compact Objects and Fundamental Physics.
  • Machine Learning Techniques focusing on Exotic Compact Objects and Fundamental Physics.
  • Shadows and Gravitational Lensing focusing on Exotic Compact Objects and Fundamental Physics.

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  • Machine Learning Techniques in Strong Gravity - Raimon Luna

    In this short course we will review some recent uses of machine learning techniques to perform calculations in strong gravity. These will include physics-informed neural networks (PINNs) for the solution of differential equations. We will focus on the uses of PINNs as a valuable tool for the extraction of quasinormal modes of black hole ringdown. We will also explore some simple examples of generative models such as GANs or autoencoders for the creation of surrogate gravitational wave models. We will also overview a series of techniques that can be used to extract the orbital dynamics from the waveforms of extreme mass ratio inspirals.


  • Synthetic images of black holes and exotic compact objects - Héctor Olivares

    The interpretation of event-horizon-scale observations of supermassive black hole candidates such as Sgr A* and M87* relies on comparisons with sizable libraries of synthetic observations. This three-session course will consist of an overview of the process to generate these models. In particular, we will cover the basics of modeling hot accretion flows seminanalytically and numerically, the production of synthetic images through ray-tracing and radiative transfer calculations, the observing process of very-long-baseline interferometry experiments such as the Event Horizon Telescope, and the application of these techniques to predict the observational properties of exotic compact objects. The course will have an optional hands-on component on general relativistic magnetohydrodynamic (GRMHD) and radiative transfer (GRRT) codes.


  • Exploring exotic compact objects with numerical relativity - Daniela Cors

    In this course we will discuss numerical relativity techniques employed in the modelling of exotic compact objects composed of fundamental fields. We will first review the cornerstones of numerical relativity, the framework needed to computationally solve Einstein’s field equations on the computer. Then, we will see how the resulting simulations play a role in assessing basic features of compact objects, such as their stability. Lastly, we will review numerical relativity’s key part in determining the detectability of these objects through gravitational-wave astronomy.

  • Parameter inference in gravitational-wave astronomy - Juan Calderón Bustillo

    In this course I will introduce several techniques used in gravitational-wave astronomy used to understand the parameter of gravitational-wave sources, the measurability of certain gravitational-wave effects and population-level studies. In particular, I will first cover full Bayesian parameter inference and model selection. Next, I will introduce the concept of Fisher Matrices, which are handy for cases where full Bayesian parameter inference is prohibitive. Last, I will introduce the concept of mixture models. In particular, I will show how the latter can be used to detect physical effects at the population level which may be undetectable in individual gravitational-wave events.

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