Abstract
The geometrical construction of General Relativity which led Einstein to the prediction of gravitational waves is discussed and formation of Cauchy problem is shown. Due to complexity of the Cauchy problem, it is not possible to solve it by the methods of analysis and geometry—approximation methods and numerical algorithms are used. Finally, the consequences of detecting gravitational waves are discussed.
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Chakraborty, S. (2020). Gravitational Waves: The Mathematical Background. In: Roy, P., Cao, X., Li, XZ., Das, P., Deo, S. (eds) Mathematical Analysis and Applications in Modeling. ICMAAM 2018. Springer Proceedings in Mathematics & Statistics, vol 302. Springer, Singapore. https://doi.org/10.1007/978-981-15-0422-8_34
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DOI: https://doi.org/10.1007/978-981-15-0422-8_34
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