In this clearly written work, Robert Wald provides the general reader with an elementary but scientifically sound introduction to such fascinating topics as the theory of the big-bang origin of the universe and the nature of black holes. Wald has now revised and updated the highly regarded first edition of Space, Time, and Gravity, taking into account recent developments in black hole physics, astrophysics, and cosmology.

Do you ever look up to the stars and wonder about what is out there? Over the last few centuries, humans have successfully unraveled much of the language of the universe, exploring and defining formerly mysterious phenomena such as electricity, magnetism, and matter through the beauty of mathematics. But some secrets remain beyond our realm of understanding-and seemingly beyond the very laws and theories we have relied on to make sense of the universe we inhabit. It is clear that the quantum, the world of atoms and electrons, is entwined with the cosmos, a universe of trillions of stars and galaxies...but exactly how these two extremes of human understanding interact remains a mystery. Where Did the Universe Come From? And Other Cosmic Questions allows readers to eavesdrop on a conversation between award-winning physicists Chris Ferrie and Geraint F. Lewis as they examine the universe through the two unifying and yet often contradictory lenses of classical physics and quantum mechanics, tackling questions such as: Where did the universe come from?Why do dying stars rip themselves apartDo black holes last forever?What is left for humans to discover?A brief but fascinating exploration of the vastness of the universe, this book will have armchair physicists turning the pages until their biggest and smallest questions about the cosmos have been answered.

This textbook gradually introduces the reader to several topics related to black hole physics with a didactic approach. It starts with the most basic black hole solution, the Schwarzschild metric, and discusses the basic classical properties of black hole solutions as seen by different probes. Then it reviews various theorems about black hole properties as solutions to Einstein gravity coupled to matter fields, conserved charges associated with black holes, and laws of black hole thermodynamics. Next, it elucidates semiclassical and quantum aspects of black holes, which are relevant in ongoing and future research. The book is enriched with many exercises and solutions to assist in the learning. The textbook is designed for physics graduate students who want to start their research career in the field of black holes; postdocs who recently changed their research focus towards black holes and want to get up-to-date on recent and current research topics; advanced researchers intending to teach (or learn) basic and advanced aspects of black hole physics and the associated mathematical tools. Besides general relativity, the reader needs to be familiar with standard undergraduate physics, like thermodynamics, quantum mechanics, and statistical mechanics. Moreover, familiarity with basic quantum field theory in Minkowski space is assumed. The book covers the rest of the needed background material in the main text or the appendices.

Laboratory astrophysics is the Rosetta Stone that enables astronomers to understand and interpret the distant cosmos. It provides the tools to interpret and guide astronomical observations and delivers the numbers needed to quantitatively model the processes taking place in space, providing a bridge between observers and modelers. IAU Symposium 350 was organized by the International Astronomical Union's Laboratory Astrophysics Commission (B5), and was the first topical symposium on laboratory astrophysics sponsored by the IAU. Active researchers in observational astronomy, space missions, experimental and theoretical laboratory astrophysics, and astrochemistry discuss the topics and challenges facing astronomy today. Five major topics are covered, spanning from star- and planet-formation through stellar populations to extragalactic chemistry and dark matter. Within each topic, the main themes of laboratory studies, astronomical observations, and theoretical modeling are explored, demonstrating the breadth and the plurality of disciplines engaged in the growing field of laboratory astrophysics.

Das vorliegende Buch bietet einen umfassenden UEberblick uber das kosmologische Standardmodell und seine empirische Evidenz: Von welchen Annahmen uber den Kosmos und seine Entwicklung gehen wir aus? Wie erklart die Inflation die Entstehung von Strukturen? Wie verhalten sich Dichtestoerungen im Laufe der Zeit? Welche Erkenntnisse koennen wir aus Beobachtungen des kosmischen Mikrowellenhintergrunds und des Gravitationslinseneffekts ziehen? Neben den Grundlagen, der theoretischen Beschreibung und den Beobachtungen beleuchtet der Autor den aktuellen Stand der Forschung und bespricht offene Fragen der modernen Kosmologie. Damit erreicht das Buch dreierlei: Es schafft Verstandnis fur die Grundlagen des Modells, beschreibt die empirische Evidenz, die ihm seine UEberzeugungskraft verleiht, und regt zum Weiterfragen an. Das Buch bietet sich fur Bachelor- oder Masterstudierende der Physik als modernes und verstandlich geschriebenes Lehrbuch an. Die Kapitel beginnen mit grundlegenden Fragen zum jeweiligen Thema, wichtige Formeln und Aussagen sind als solche hervorgehoben, kleine Zwischenfragen regen zum aktiven Mitdenken an und Hinweise warnen den Leser vor haufigen Fehlkonzepten oder Verstandnisproblemen. Vertiefungsboxen ermoeglichen einen Blick uber den kanonischen Vorlesungsstoff hinaus und in zahlreichen Beispielen werden physikalische Groessen berechnet oder abgeschatzt. Die Lekture hilft Leserinnen und Lesern dabei, eigene Fragen uber unser physikalisches Verstandnis des Kosmos zu stellen und Antworten zu finden. Aus dem Inhalt Homogene, isotrope Weltmodelle Alter und Ausdehnung der Welt Thermische Entwicklung Inflation und Dunkle Energie Strukturen im Universum Der kosmische Mikrowellenhintergrund Halos und ihre Massenfunktion Gravitationslinsen Galaxienhaufen, Galaxien und Gas Der Autor Matthias Bartelmann ist seit 2003 Professor fur theoretische Astrophysik an der Universitat Heidelberg. Fur seine Vorlesungen zu verschiedenen Gebieten der theoretischen Physik und Astrophysik erhielt er 2008 und 2016 den Lehrpreis seiner Fakultat. Dieses Buch ist aus seinen Lehrveranstaltungen zur Kosmologie entstanden.

This essential book describes the mathematical formulations and subsequent computer simulations required to accurately project the trajectory of spacecraft and rockets in space, using the formalism of optimal control for minimum-time transfer in general elliptic orbit. The material will aid research students in aerospace engineering, as well as practitioners in the field of spaceflight dynamics, in developing simulation software to carry out trade studies useful in vehicle and mission design. It will teach readers to develop flight software for operational applications in autonomous mode, so to actually transfer space vehicles from one orbit to another. The practical, real-life applications discussed will give readers a clear understanding of the mathematics of orbit transfer, allow them to develop their own operational software to fly missions, and to use the contents as a research tool to carry out even more complex analyses.

Our understanding of the formation of stars and planetary systems has changed greatly since the first edition of this book was published. This new edition has been thoroughly updated, and now includes material on molecular clouds, binaries, star clusters and the stellar initial mass function (IMF), disk evolution and planet formation. This book provides a comprehensive picture of the formation of stars and planetary systems, from their beginnings in cold clouds of molecular gas to their emergence as new suns with planet-forming disks. At each stage gravity induces an inward accretion of mass, and this is a central theme for the book. The author brings together current observations, rigorous treatments of the relevant astrophysics, and 150 illustrations, to clarify the sequence of events in star and planet formation. It is a comprehensive account of the underlying physical processes of accretion for graduate students and researchers.

This book is an introductory text in General Relativity, while also focusing some solutions to the cosmological constant problem, which consists in an amazing 100 orders of magnitude discrepancy between the value of this constant in the present Universe, and its estimated value in the very early epoch. The author suggests that the constant is in fact, a time-varying function of the age of the Universe. The book offers a wealth of cosmological models, treats up to date findings, like the verification of the Lense-Thirring effect in the year 2004, and the recently published research by Cooperstock and Tieu (2005) suggesting that "dark" matter is not a necessary concept in order to explain the rotational velocities of stars around galaxies' nuclei. This is a mathematical cosmology textbook that may lead undergraduates, and graduate students to one of the frontiers of research, while keeping the prerequisites to a minimum, because most of the theory in the book requires only prior knowledge of Calculus and a University Physics course.

Fundamental Astronomy is a well-balanced, comprehensive introduction to classical and modern astronomy. While emphasizing both the astronomical concepts and the underlying physical principles, the text provides a sound basis for more profound studies in the astronomical sciences. This is the fifth edition of the successful undergraduate textbook and reference work. It has been extensively modernized and extended in the parts dealing with extragalactic astronomy and cosmology. You will also find augmented sections on the solar system and extrasolar planets as well as a new chapter on astrobiology. Long considered a standard text for physical science majors, Fundamental Astronomy is also an excellent reference work for dedicated amateur astronomers.

There is a crisis in modern science that few theorists are willing to confront. In The Virtue of Heresy: Confessions of a Dissident Astronomer, renowned physicist and astronomer Hilton Ratcliffe, founding member of the Alternative Cosmology Group and co-discoverer of the CNO nuclear fusion cycle on the Sun’s surface, delivers to science aficionados his straightforward and highly compelling explanation of, and challenge to, many widely-held scientific beliefs that fall apart under scrutiny.

Ratcliffe not only points out the fallacy of commonly held beliefs often promoted by the global scientific community, but, through a close (and sometimes humorous) examination of theoretical physics, presents a convincing argument for alternative theory. The heresy of which he writes—that is, our unwillingness to accept at face value all that is spooned to us by ‘the experts’—is presented not as a liability, but as a virtue essential to the progress of scientific thought.

For Akiva Jaap Vroman "a day in the infinite past" is nonsense. All the days that have elapsed belong to a past of countable days; they started on a first day a finite number of days ago. Time began this first day. It follows that an eternal past does not exist. Vroman bases his reasoning on a simple mathematical law: an infinite quantity remains the same infinite quantity if a finite quantity, however large, is subtracted from it. "On God, Space, and Time" devotes itself to this proof. "On God, Space, and Time" is rooted in the epistemological thinking of Immanuel Kant and Jean Piaget and the law of Leucippus, and draws from the somewhat disparate fields of psychology, physiology, mathematics, and physics. Vroman discusses the modern vindication of the existence of the Creator using ontological arguments, which observe the cosmos solely through our sense-perceptions and the world of space and matter. He balances this worldview with a discussion of brain chemistry and physiology in "God, Mind, and Body" showing that the world of space and matter is nothing but an interpretation made by our working mind. Vroman also describes the Spanish-based Jewish philosophers of the Middle Ages who came close to solving the Genesis-Creation contradiction, which cannot be reconciled through the external world of Greek philosophy. As we travel through time with Vroman, who ranges easily and poetically over important concepts and influential thinkers, we encounter a variety of subjects: Spinoza's new definition of God and the authority of reason in the age of Descartes, Leibniz, and Newton; Jewish idealists, such as Nachman Krochmal, Solomon L. Steinman, Solomon Formstecher, and Samuel Hirsch; the concept of space-time; and Johann Gottlieb Fichte, Arthur Schopenhauer, Max Wentscher, and Charles Darwin. He presents engaging, worthwhile discussions of futurology; the astrological world of sub-lunar events; religious eschatology, specifically the Jewish and Christian Messiah; apocalyptic revelation in psychological science, the future of the universe, God and moral virtue, the medical approach to the question of life and death, and finally, personal thoughts on religious worship and service based on reason and moral sense. "On God, Space, and Time"a valuable historical synthesis of Western thought on man's vision of God, and consequently reality. This volume will interest many, particularly those intrigued by philosophy, religion, and futurology.

Dynamical systems provide powerful methods for the study of profound properties of many-dimensional nonlinear systems. In this unique book, the authors offer a consistent geometrical treatment of observational cosmology from the concepts of the theory of dynamical systems. The dynamics of clusters of galaxies differ drastically from stellar dynamics, thus requiring a mathematical approach to large-scale problems. Since mathematical techniques are not a familiar tool in this field, a full summary of the elementary ideas of differential geometry, ergodic theory and catastrophe theory are also considered in this exploratory text. Readership: Mathematicians, astrophysicists, and cosmologists, as well as anyone interested in the many subject disciplines related to geometrical and topological aspects of the large-scale universe.