Thebookaimstoexpoundthegeneraltheoryofrelativitywithamathematicalpointofview.Cateringtotheneedsofpostgraduatestudentsandresearchersinthefieldofastrophysicsandmathematicalphysics,itoffersthereadersacomprehensiveunderstandingoftheadvancedtopicsofthesubjectmatter.Itspecificallydiscussesthemathematicalfoundationoftensorcalculus,givesabackgroundofgeodesics,Einstein’sfieldequations,linearisedgravity,spacetimeofsphericallysymmetricdistributionofmatterandblackholes,andparticleandphotonorbitsinspacetime.Apartfromtheformulationofgeneralrelativity,Liederivativesanditsapplications,andcausalityofspacetimearealsodiscussedindetail.Certainpreliminaryconceptsofextrinsiccurvature,Lagrangianformalismofgeneraltheoryofrelativityand3+1decompositionofspace-timearecoveredandareprovidedinthebookasappendices.
