TY - GEN AU - Vittorio,Nicola TI - An overview of general relativity and space time T2 - Series in Astronomy and Astrophysics SN - 9780367683047 U1 - 530.11 23 PY - 2023/// CY - Oxon PB - CRC Press KW - Physics KW - General Relativity KW - Space-Time N1 - Includes bibliography and index; Part I From forces to curvature -- Part II From curvature to observations -- Part III From Singularities to cosmological scales N2 - This textbook equips Masters’ students studying Physics and Astronomy with the necessary mathematical tools to understand the basics of General Relativity and its applications. It begins by reviewing classical mechanics with a more geometrically oriented language, continues with Special Relativity and, then onto a discussion on the pseudo-Riemannian space-times. Applications span from the inner and outer Schwarzschild solutions to gravitational wave, black holes, spherical relativistic hydrodynamics, and Cosmology. The goal is to limit the abstract formalization of the problems, to favor a hands-on approach with a number of exercises, without renouncing to a pedagogical derivation of the main mathematical tools and findings. ER -