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"Special Relativity"
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Introduction to General Relativity, Black Holes and Cosmology
This book presents basic General Relativity and provides a basis for understanding and using the fundamental theory. General Relativity is a beautiful geometric theory, simple in its mathematical formulation. It leads to numerous consequences with striking physical interpretations: gravitational waves, black holes, cosmological models, and so on. The first part of the book outlines the fundamentals of the subject. Chapters in this part look at Riemannian and Lorentzian geometry, Special and General Relativity, the Einstein equations, the Schwarzschild spacetime, black holes, and cosmology. The second part presents a number of more advanced topics such as general Einstein spacetimes, the Cauchy problem, relativistic fluids, and Relativistic Kinetic Theory.
eBook
Theoretical Investigation of Lorentz Transformation of Relativistic Quantities in Two‐Dimensional Spacetime Continuum
In the current study, we conducted a theoretical study to derive the Lorentz transformation between inertial frames of reference moving in two‐dimensional spacetime continuum. The invariance of the space–time interval equation, with use of the derived two‐dimensional transformations, yields the notion of 2 + 2‐dimensional spacetime continuum which consists of two space and two time coordinates. The velocity addition formulas, Lorentz transformations of energy and momentum are then investigated in 2 + 2‐dimensional spacetime frame. Additionally, we investigated the concept of four‐vector in 2 + 2 dimensions and further discussed their transformation based on the matrix equation, which is fully consistent with the Lorentz invariant energy–momentum relation.
Journal Article
Six not-so-easy pieces : Einstein's relativity, symmetry, and space-time
\"...In the challenging 'Six Not-So-Easy Pieces', Feynman delves into one of the most revolutionary discoveries in twentieth-century physics: Einstein's Theory of Relativity...\"--P. [4] of cover.
Book
Analytic hyperbolic geometry and Albert Einstein's special theory of relativity
This book presents a powerful way to study Einstein's special theory of relativity and its underlying hyperbolic geometry in which analogies with classical results form the right tool. It introduces the notion of vectors into analytic hyperbolic geometry, where they are called gyrovectors.
eBook
Special relativity and classical field theory : the theoretical minimum
\"Physicist Leonard Susskind and data engineer Art Friedman are back. This time, they introduce readers to Einstein's special relativity and Maxwell's classical field theory. Using their typical brand of real math, enlightening drawings, and humor, Susskind and Friedman walk us through the complexities of waves, forces, and particles by exploring special relativity and electromagnetism. It's a must-read for both devotees of the series and any armchair physicist who wants to improve their knowledge of physics' deepest truths.\"--Amazon.com.
Book
Functional Forms for Lorentz Invariant Velocities
Lorentz invariance lies at the very heart of Einstein’s special relativity, and both the energy formula and the relative velocity formula are well-known to be invariant under a Lorentz transformation. Here, we investigate the spatial and temporal dependence of the velocity field itself u(x,t) and we pose the problem of the determination of the functional form of those velocity fields u(x,t) which are automatically invariant under a Lorentz transformation. For a single spatial dimension, we determine a first-order partial differential equation for the velocity u(x,t), which appears to be unknown in the literature, and we investigate its main consequences, including demonstrating that it is entirely consistent with many of the familiar outcomes of special relativity and deriving two new partial differential relations connecting energy and momentum that are fully compatible with the Lorentz invariant energy–momentum relations.
Journal Article
Why does e=mc2 : (and why should we care?)
Looks at Einstein's famous equation; explaining and simplifying the notions of energy, mass, and light and exploring commonly held misconceptions.
Book
Reimagining Time
A quirky, funny, and accessible blend of science and art that delves into the heart of Einstein's theory of relativity It was a link to his 1905 paper—an early attempt at explaining his revolutionary ideas on space, time, and matter—that drew Tanya Bub into Albert Einstein's imaginative vision of the world. What particularly struck her was how Einstein interwove words and math to create clear visuals illustrating his theories. As an artist, she naturally started doodling as she worked her way through his concepts, creating drawings that intuitively demonstrated Einstein's core principles. In Reimagining Time Tanya Bub teams up with her father, the distinguished physicist Jeffrey Bub, to create a quirky and accessible take on one of science's most revolutionary discoveries. Blending original art and text, they guide readers through Einstein's theory of special relativity to expose truths about our universe: time is relative, lengths get shorter with motion, energy and mass are interchangeable, and the Universe has a speed limit.
eBook