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Autor:
Andrew M. Steane
Relativity Made Relatively Easy presents an extensive study of Special Relativity and a gentle (but exact) introduction to General Relativity for undergraduate students of physics. Assuming almost no prior knowledge, it allows the student to handle a
Autor:
Andrew M. Steane
Publikováno v:
Relativity Made Relatively Easy Volume 2 ISBN: 0192895648
The connection and the covariant derivative are treated. Connection coefficients are introduced in their role of expressing the change in the coordinate basis vectors between neighbouring points. The covariant derivative of a vector is then defined.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::64782de35da9c51397afcd81ec9c557f
https://doi.org/10.1093/oso/9780192895646.003.0010
https://doi.org/10.1093/oso/9780192895646.003.0010
Autor:
Andrew M. Steane
Publikováno v:
Relativity Made Relatively Easy Volume 2 ISBN: 0192895648
This chapter discusses some physical effects related to two simple metrics: the RIndler metric and the uniform static field. The purpose is to illustrate the methods by applying them in an exact calculation which is not too taxing. The Christoffel sy
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9b881770a8be60a35964f62f8f532827
https://doi.org/10.1093/oso/9780192895646.003.0003
https://doi.org/10.1093/oso/9780192895646.003.0003
Autor:
Andrew M. Steane
Publikováno v:
Relativity Made Relatively Easy Volume 2 ISBN: 0192895648
Classical field theory, as it is applied to the most simple scalar, vector and spinor fields in flat spacetime, is described. The Klein-Gordan, Weyl and Dirac equations are obtained, and some features of their solutions are discussed. The Yukawa pote
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::36ec8c204dc2caf8d53396c76b9e0451
https://doi.org/10.1093/oso/9780192895646.003.0027
https://doi.org/10.1093/oso/9780192895646.003.0027
Autor:
Andrew M. Steane
Publikováno v:
Relativity Made Relatively Easy Volume 2 ISBN: 0192895648
Electromagnetic field theory, and the physics of continuous media (fluids, solids) in curved spacetime are discussed. Generalized Maxwell’s equations are written down and their justifaction is briefly presented. Then we turn to thermodynamics and c
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::93f46fa44414346177d6ea1709c7c804
https://doi.org/10.1093/oso/9780192895646.003.0014
https://doi.org/10.1093/oso/9780192895646.003.0014
Autor:
Andrew M. Steane
Publikováno v:
Relativity Made Relatively Easy Volume 2 ISBN: 0192895648
We now embark on the full theory, beginning with the concept of a manifold in differential geometry. The meaning of coordinates and coordinate transformations is carefully explained. The metric and its transformation between coordinate frames is disc
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::64a4f5104d0c81eda2e3ee6d6aebb394
https://doi.org/10.1093/oso/9780192895646.003.0008
https://doi.org/10.1093/oso/9780192895646.003.0008
Autor:
Andrew M. Steane
Publikováno v:
Relativity Made Relatively Easy Volume 2 ISBN: 0192895648
We imagine a group of people living on the inner surface of a huge rotating cylinder in flat spacetime. Their experiences are described and calculated. Thus we introduce gravimagnetic effects and the connection between gravitational time dilation and
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::392796d538ef900fa207b7bb11954421
https://doi.org/10.1093/oso/9780192895646.003.0004
https://doi.org/10.1093/oso/9780192895646.003.0004
Autor:
Andrew M. Steane
Publikováno v:
Relativity Made Relatively Easy Volume 2 ISBN: 0192895648
The universe at very early times, before the GUT era, is discussed. The entropy problem is described. The horizon and flatness problems are subsumed into the general problem of finding plausible models of the physics of the Planck era or the era imme
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::819ac6f93358996e2d3dafe702651097
https://doi.org/10.1093/oso/9780192895646.003.0026
https://doi.org/10.1093/oso/9780192895646.003.0026
Autor:
Andrew M. Steane
Publikováno v:
Relativity Made Relatively Easy Volume 2 ISBN: 0192895648
An introduction to Lagrangian methods for classical fields in flat spacetime and then in curved spacetime. The Euler-Lagrange equations for Lagrangian densities are obtained, and applied to the wave, Klein-Gordan, Weyl, Dirac, Maxwell and Proca equat
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::15f6e433287d415bd1a784dcc06c12df
https://doi.org/10.1093/oso/9780192895646.003.0028
https://doi.org/10.1093/oso/9780192895646.003.0028
Autor:
Andrew M. Steane
Publikováno v:
Relativity Made Relatively Easy Volume 2 ISBN: 0192895648
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::275e5188c738ca9e5707df229b408546
https://doi.org/10.1093/oso/9780192895646.005.0004
https://doi.org/10.1093/oso/9780192895646.005.0004