Interacting Gravitational Electromagnetic Neutrino And Other Waves In The Context Of Einstein S General Theory Of Relativity

Interacting Gravitational, Electromagnetic, Neutrino And Other Waves: In The Context Of Einstein's General Theory Of Relativity

This book is devoted to researchers who would like to investigate interactions among gravitational waves and matter fields beyond linear order, including the phenomena of memory effects, gravitational Faraday rotation, soft theorems, and formations of spacetime singularities due to the mutual focus of gravitational waves. Readers only require a basic understanding of general relativity to understand the materials.The book starts with an overview on the fundamentals of the Newman-Penrose formalism and a brief introduction to distribution theory, with which the author systematically develops a mathematical description of spacetimes of colliding plane waves. Then, the author presents a frame-independent definition of polarization of a plane gravitational wave in a curved spacetime, studies in detail the gravitational Faraday rotation of two plane gravitational waves, and shows that each of them can serve as a medium to the other precisely due to their nonlinear interactions. Exact solutions are also presented, which represent a variety of models including the collisions of two plane gravitational waves and the collisions of a plane gravitational wave with a dust shell, a massless scalar wave, an electromagnetic wave, or a neutrino wave. The formation of spacetime singularities due to nonlinear interactions and the effects of gravitational wave polarization on the nature of singularities are also explored.

Bertrand Russell and Albert Einstein – Builders of Peace

Bertrand Russell and Albert Einstein had very different cultural backgrounds and personalities. At the same time, they were united in their tenacious battle for peace; it began with the Great War and culminated in their famous 1955 Manifesto. Through various kinds of pacifism they sought to encapsulate the dilemmas and problems that derived from the changed political conditions of his time: the beginning of the Great War, the creation and failure of the League of Nations, the affirmation of totalitarian regimes, the outbreak of the Second World War, the origin of the atomic age and the escalation of the Cold War, the establishment of the UN with its political and institutional weakness, and the need for a world government in the form of a world federation. Their reflections on the subject of peace led them into dialogue with some of the greatest figures of their time: R. Rolland, Th. Woodrow Wilson, V. I. Lenin, F. D. Roosevelt, J. F. Kennedy, N. Khrushchev, F. Castro, S. Freud, L. Szilárd and E. Reves.

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