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arXiv:gr-qc/9712019gr-qc

Lecture Notes on General Relativity

Sean M. Carroll

Abstract

These notes represent approximately one semester's worth of lectures on introductory general relativity for beginning graduate students in physics. Topics include manifolds, Riemannian geometry, Einstein's equations, and three applications: gravitational radiation, black holes, and cosmology.

arXiv comments
238 pages, numerous figures. Individual chapters, and potentially updated versions, can be found at http://itp.ucsb.edu/~carroll/notes/
Journal reference
DOI
Subjects
gr-qcGeneral Relativity and Quantum Cosmology astro-phAstrophysics hep-thHigh Energy Physics, Theory

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Linked by 4 identifiable commenters in 6 comments across 6 threads, from Dec 2016 to Jan 2025. Found in 1 HN submission from May 2017 to May 2017. Open submission discussions.

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Discussed in comments6 threads

    • Oh please. Do you really think the people who won the nobel prize for this discovery have a grade school level understanding of speed? You seem to be talking about peculiar velocities, which are absolutely negligible on cosmological scales and only the velocity caused by the…

      mr_mitmView on HNParent context

    • > So you are saying, there is a semi-reversible process where energy and volume are correlated? My original objection was to you thinking of it as a "process", or at least a process involving energy and volume. It's a relationship between stress-energy and spacetime geometry. >…

      pdonisView on HNParent context

    • > Black holes are ordinary objects, if they are anything at all. No, they aren't. Their spacetime geometries are very, very different from those of ordinary objects. > Take any normal object and give it the mass of a black hole There is no such thing as "the mass of a black…

      pdonisView on HNParent context

    • > I'm very sure that you are wrong here What actual textbooks on relativity have you studied? If you haven't studied any, I would strongly suggest doing so before being this confident about your beliefs about relativity. Many pop science sources (including, unfortunately, books…

      pdonisView on HNParent context

    • It's hard to gauge (pardon the pun) where to start you based on that. I'll guess that you're keen on understanding the General Relativity part in detail. Carroll and ‘t Hooft have kindly put up lecture notes that might be a good starting place. Stefan Waner has made available…

      raattgiftView on HNParent context

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