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Gravitational Waves: The Mathematical Background

  • Subenoy Chakraborty
Conference paper
  • 45 Downloads
Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 302)

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.

Keywords

Lorentzian manifold Initial value problem Gravitational waves 

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Copyright information

© Springer Nature Singapore Pte Ltd. 2020

Authors and Affiliations

  • Subenoy Chakraborty
    • 1
  1. 1.Department of MathematicsJadavpur UniversityKolkataIndia

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