TL;DR
This review discusses the current state of Numerical Relativity, highlighting simulation techniques, key findings in strong gravity scenarios, and future challenges in the field.
Contribution
It provides a comprehensive overview of numerical methods, recent advancements, and open problems in Numerical Relativity, emphasizing its role in astrophysics and fundamental physics.
Findings
Numerical simulations have revealed unexpected phenomena in strong gravity regimes.
Current techniques enable detailed modeling of astrophysical systems in General Relativity.
Open problems include improving computational methods and understanding quantum gravity implications.
Abstract
Computer simulations are enabling researchers to investigate systems which are extremely difficult to handle analytically. In the particular case of General Relativity, numerical models have proved extremely valuable for investigations of strong field scenarios and been crucial to reveal unexpected phenomena. Considerable efforts are being spent to simulate astrophysically relevant simulations, understand different aspects of the theory and even provide insights in the search for a quantum theory of gravity. In the present article I review the present status of the field of Numerical Relativity, describe the techniques most commonly used and discuss open problems and (some) future prospects.
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