Институт теоретической и математической физики

МГУ имени М.В. Ломоносова

ITMP Seminar "Balance Laws as Test of Gravitational Waveforms"

ITMP Seminar
22 апреля 2024

Dear Colleagues,

We are pleased to announce that the next ITMP seminar will be held on Wednesday, Apr 24, 18:00 (Moscow time). It will be organised via Zoom. 

Speaker: Prof. Lavinia Heisenberg, University of Heidelberg

Title: Balance Laws as Test of Gravitational Waveforms

Abstract: Gravitational waveforms play a crucial role in comparing observed signals to theoretical predictions. However, obtaining accurate analytical waveforms directly from general relativity remains challenging. Existing methods involve a complex blend of post-Newtonian theory, effective-one-body formalism, numerical relativity, and interpolation, introducing systematic errors. As gravitational wave astronomy advances with new detectors, these errors gain significance, particularly when testing general relativity in the non-linear regime. A recent development proposes a novel approach to address this issue. By deriving precise constraints - or balance laws - directly from full non-linear GR, this method offers a means to evaluate waveform quality, detect template weaknesses, and ensure internal consistency. Before delving into the intricacies of balance laws in full non-linear general relativity, we illustrate the concept using a detailed mechanical analogy. We'll examine a dissipative mechanical system as an example, demonstrating how mechanical balance laws can gauge the accuracy of approximate solutions in capturing the complete physical scenario. While mechanical balance laws are straightforward, deriving balance laws in electromagnetism and general relativity demands a rigorous foundation rooted in mathematically precise concepts of radiation. Following the analogy with electromagnetism, we derive balance laws in general relativity. As a proof of concept, we employ an analytical approximate waveform model, showcasing how these balance laws serve as a litmus test for the model's validity.

If you want to join the seminar please register here before 16:00, April 24 here.

If you would like to subscribe to newsletters about ITMP seminars, please, contact seminar@itmp.msu.ru

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