Many advanced relativity textbooks immediately submerge the reader in abstract differential geometry. Ohanian and Ruffini take a different approach, prioritizing physical intuition before introducing heavy mathematical machinery.
These virtual particles interact with each other, giving rise to a non-zero energy density and pressure. Ohanian assumed that this energy density and pressure are responsible for the gravitational field.
The book does not begin with tensors. It begins with a paradox: the instantaneous action of Newton’s gravity versus the finite speed of light. Ohanian walks the reader through the equivalence principle using thought experiments involving elevators, rockets, and light beams. This section is lauded for its clarity in explaining why time must slow down in a gravitational field. ohanian gravitation and spacetime pdf
My heart sank. The search function—my great advantage—was useless. It couldn't read the text. I would have to scroll.
Differential geometry, Metric tensor, Riemann curvature tensor Ohanian assumed that this energy density and pressure
The 3rd edition (latest) updated the text with contemporary experimental results, such as data from the Hulse-Taylor pulsar and Gravity Probe B. Taylor & Francis Online Key Focus Areas Foundations
: Once the physical limitations of the flat-space field approach are exposed, the book naturally transitions into the necessity of curved Riemann spacetime. Ohanian walks the reader through the equivalence principle
The textbook is masterfully organized to transition students from familiar Newtonian mechanics to the mind-bending realities of curved spacetime. 1. The Principle of Equivalence
It then moves into the Schwarzschild solution, event horizons, and the physics of black holes. This section is particularly praised for its treatment of gravitational collapse and the concept of "frozen stars" (an early interpretation of black holes).
: Ohanian initially presents gravity similarly to electromagnetism. He treats the gravitational field as a spin-2 tensor field operating in flat spacetime before transitioning to the geometric interpretation of warped spacetime.
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