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Mathematics & Engineering
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General Relativity

Academic (University) preparation with worked examples, written practice and independent learning assessments.

Independent university-level study of General Relativity. This original curriculum draws on public academic subject descriptions; it is not an official faculty syllabus, university credit, accreditation or an Ivy League qualification. Topics covered: Equivalence principle; Spacetime events; Proper time; Geometric gravity. Tensors; Metrics; Covariant derivatives; Geodesics. Curvature; Riemann tensor; Ricci tensor; Geodesic deviation. Einstein equations; Stress-energy; Conservation laws; Newtonian limit. Schwarzschild geometry; Orbital precession; Light deflection; Black-hole horizons. Rotating black holes; Accretion; Penrose diagrams; Causal structure. Linearized gravity; Gravitational waves; Wave detection; Compact binaries. Cosmological metrics; Friedmann equations; Expansion history; Relativistic modeling. Projects use safe simulations, public datasets or textual analysis; specialist subject review is required. Includes lessons, supplementary YouTube tutorials, practical exercises, quizzes and free/paid practice tests. Erudex is independent, not affiliated with the source institution or awarding body. Its 80% learning checks are not official grades or university credit. Content requires qualified subject review before use as a complete teaching programme.

32h Certificate available
InternationalAcademic (University)Independent preparation

Curriculum

One complete track with its own final exam and certificate.

Independent university-level study of General Relativity. This original curriculum draws on public academic subject descriptions; it is not an official faculty syllabus, university credit, accreditation or an Ivy League qualification. Topics covered: Equivalence principle; Spacetime events; Proper time; Geometric gravity. Tensors; Metrics; Covariant derivatives; Geodesics. Curvature; Riemann tensor; Ricci tensor; Geodesic deviation. Einstein equations; Stress-energy; Conservation laws; Newtonian limit. Schwarzschild geometry; Orbital precession; Light deflection; Black-hole horizons. Rotating black holes; Accretion; Penrose diagrams; Causal structure. Linearized gravity; Gravitational waves; Wave detection; Compact binaries. Cosmological metrics; Friedmann equations; Expansion history; Relativistic modeling. Projects use safe simulations, public datasets or textual analysis; specialist subject review is required.

Equivalence principle; Spacetime events; Proper time; Geometric gravity

  • The Equivalence Principle and Local Inertial Frames Lab60 min
  • Spacetime Events, Worldlines, and Minkowski Spacetime Lab60 min
  • Proper Time, Metric Geometry, and Gravitational Time Dilation Lab60 min
  • Geometric Gravity, Covariant Derivatives, and Geodesic Motion Lab60 min

Careers this prepares you for

    How you study

    Every lesson pairs an in-depth video with written notes, key takeaways, a hands-on lab, exercises and a quiz. Work at your own pace, then sit the final examination for your Erudex certificate.