Relativity Made Relatively Easy
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 all the Relativity needed for a university course, with explanations as simple, thorough, and engaging as possible. The aim is to make manageable what would otherwise be regarded as hard; to make derivations as simple as possible and physical ideas as transparent as possible. Lorentz invariants and four-vectors are introduced early on, but tensor notation is postponed until needed. In addition to the more basic ideas such as Doppler effect and collisions, the text introduces more advanced material such as radiation from accelerating charges, Lagrangian methods, the stress-energy tensor, and introductory General Relativity, including Gaussian curvature, the Schwarzschild solution, gravitational lensing, and black holes. A second volume will extend the treatment of General Relativity somewhat more thoroughly, and also introduce Cosmology, spinors, and some field theory.
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4-momentum 4-vector 4-velocity angle angular momentum atoms axis black hole calculation called clock CM frame collision components conﬁrm conservation consider constant covariant curvature deﬁned deﬁnition density direction distance Doppler effect effect electric ﬁeld electromagnetic ﬁeld electron emitted energy and momentum example factor ﬁeld equation ﬁnal ﬁnd ﬁrst ﬁxed ﬂat ﬂow ﬂuid ﬂux force frequency function geodesic given gravitational ﬁeld inertial frame inertial reference frame inﬁnity instantaneous rest frame integral invariant Lagrangian length light Lorentz boost Lorentz contraction Lorentz factor Lorentz invariant Lorentz transformation Lorentz-invariant magnetic ﬁeld matrix Maxwell’s equations metric motion moving Newtonian notation object observed obtain orbit parallel particle perpendicular photon physical plane point charge potential proper acceleration quantity radiation radius relativistic rest mass result rocket rotation scalar Schwarzschild solution source event space spatial Special Relativity speed spherical stress-energy tensor surface tensor vector velocity wave worldline zero