Flat and Curved Space-Times

The present book explains special relativity and the basics of general relativity from a geometric viewpoint. Space-time geometry is emphasized throughout, and provides the basis of understanding of the special relativity effects of time dilation, length contraction, and the relativity of simultaneity. Bondi's K-calculus is introduced as a simple means of calculating the magnitudes of these effects, and leads to a derivation of the Lorentz transformation as a way of unifying these results. The invariant interval of flat space-time is generalised to that of curved space-times, and leads to an understanding of the basic properties of simple cosmological models and of the collapse of a star to form a black hole. The appendices enable the advanced student to master the application of four-tensors to the relativistic study of energy and momentum, and of electromagnetism. In addition, this new edition contains up-to-date information on black holes, gravitational collapse, and cosmology.

Science & Math

Ellis, George F. R.

Williams, R.M.

Astronomy & Space Science

Clarendon Press

The present book explains special relativity and the basics of general relativity from a geometric viewpoint. Space-time geometry is emphasized throughout, and provides the basis of understanding of the special relativity effects of time dilation, length contraction, and the relativity of simultaneity. Bondi's K-calculus is introduced as a simple means of calculating the magnitudes of these effects, and leads to a derivation of the Lorentz transformation as a way of unifying these results. The invariant interval of flat space-time is generalised to that of curved space-times, and leads to an understanding of the basic properties of simple cosmological models and of the collapse of a star to form a black hole. The appendices enable the advanced student to master the application of four-tensors to the relativistic study of energy and momentum, and of electromagnetism. In addition, this new edition contains up-to-date information on black holes, gravitational collapse, and cosmology.

Oxford University Press

This text explains special relativity and the foundations of general relativity theory in terms understandable to undergraduates in mathematics and physics coming to the subject for the first time. Space-time geometry is emphasized throughout, providing a basic understanding of the special relativity effects of time dilation, length contraction, and the relativity of simultaneity. Bondi's k-calculus is introduced as a simple means of calculating the magnitudes of these effects, and this leads to a derivation of the Lorentz Transformation as a way of unifying these results. The invariant interval of flat space-time is compared to that of curved space-times, and the basic properties of simple cosmological models are presented. Appendices enable the advanced student to master the application of four tensors to the relativistic study of energy, momentum and electromagnetism.

Williams, Ruth M.

Physics

This text explains special relativity and the foundations of general relativity theory in terms understandable to undergraduates in mathematics and physics coming to the subject for the first time. Space-time geometry is emphasized throughout, providing a basic understanding of the special relativity effects of time dilation, length contraction, and the relativity of simultaneity. Bondi's k-calculus is introduced as a simple means of calculating the magnitudes of these effects, and this leads to a derivation of the Lorentz Transformation as a way of unifying these results. The invariant interval of flat space-time is compared to that of curved space-times, and the basic properties of simple cosmological models are presented. Appendices enable the advanced student to master the application of four tensors to the relativistic study of energy, momentum and electromagnetism.

Relativistic Cosmology

Cosmology has been transformed by dramatic progress in high-precision observations and theoretical modelling. This book surveys key developments and open issues for graduate students and researchers. Using a relativistic geometric approach, it focuses on the general concepts and relations that underpin the standard model of the Universe. Part I covers foundations of relativistic cosmology whilst Part II develops the dynamical and observational relations for all models of the Universe based on general relativity. Part III focuses on the standard model of cosmology, including inflation, dark matter, dark energy, perturbation theory, the cosmic microwave background, structure formation and gravitational lensing. It also examines modified gravity and inhomogeneity as possible alternatives to dark energy. Anisotropic and inhomogeneous models are described in Part IV, and Part V reviews deeper issues, such as quantum cosmology, the start of the universe and the multiverse proposal. Color versions of some figures are available at www.cambridge.org/9780521381154.

Maartens, Roy

MacCallum, Malcolm A. H.

Cambridge University Press

What is the ethical import of contemporary scientific cosmology? How does our understanding of the universe relate to our most pressing social concerns? How do the disparate fields of theology, ethics, and the sciences relate to each other? Murphy and Ellis offer a coherent construction of these relations and show how a particular moral vision-a "kenotic" ethic-is supported "from below" by the social sciences and "from above" by theology. The theological import of contemporary cosmology, they argue, points ultimately to an ethic that centers on self-sacrifice and nonviolence. In ambition, rigor, and scale, in its search for an integrated and coherent worldview at a time of unprecedented complexity and uncertainty, readers will find this volume daring and important.

On the Moral Nature of the Universe: Theology, Cosmology, and Ethics (Theology and the Sciences)

Politics & Social Sciences

Murphy, Nancey

Philosophy

Fortress Press

First published in 1973, this influential work discusses Einstein's General Theory of Relativity to show how two of its predictions arise: first, that the ultimate fate of many massive stars is to undergo gravitational collapse to form 'black holes'; and second, that there was a singularity in the past at the beginning of the universe. Starting with a precise formulation of the theory, including the necessary differential geometry, the authors discuss the significance of space time curvature and examine the properties of a number of exact solutions of Einstein's field equations. They develop the theory of the causal structure of a general space time. use it to prove a number of theorems establishing the inevitability of singularities under certain conditions. A Foreword contributed by Abhay Ashtekar and a new Preface from George Ellis help put the volume into context of the developments in the field over the past fifty years.

The Large Scale Structure of Space-Time: 50th Anniversary Edition (Cambridge Monographs on Mathematical Physics)

HAWKING, STEPHEN W.

Cosmology has been transformed by dramatic progress in high-precision observations and theoretical modelling. This book surveys key developments and open issues for graduate students and researchers. Using a relativistic geometric approach, it focuses on the general concepts and relations that underpin the standard model of the Universe. Part I covers foundations of relativistic cosmology whilst Part II develops the dynamical and observational relations for all models of the Universe based on general relativity. Part III focuses on the standard model of cosmology, including inflation, dark matter, dark energy, perturbation theory, the cosmic microwave background, structure formation and gravitational lensing. It also examines modified gravity and inhomogeneity as possible alternatives to dark energy. Anisotropic and inhomogeneous models are described in Part IV, and Part V reviews deeper issues, such as quantum cosmology, the start of the universe and the multiverse proposal. Colour versions of some figures are available at www.cambridge.org/9780521381154.

A Universe of Ethics, Morality, and Hope: Proceedings of the Second Annual Goshen Conference on Religion and Science (Proceedings of the Goshen Conference on Religion and Science)

Religion & Spirituality

Religious Studies

Pandora Press

See the best price to sell, buy, or rent books by Ellis, George F. R.. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Books by Ellis, George F. R.

See the best price to sell, buy, or rent books by Ellis, George F. R.. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Flat and Curved Space-Times

Flat and Curved Space-Times

Flat and Curved Space-Times

Flat and Curved Space-Times

Relativistic Cosmology

On the Moral Nature of the Universe: Theology, Cosmology, and Ethics (Theology and the Sciences)

The Large Scale Structure of Space-Time: 50th Anniversary Edition (Cambridge Monographs on Mathematical Physics)

Relativistic Cosmology

A Universe of Ethics, Morality, and Hope: Proceedings of the Second Annual Goshen Conference on Religion and Science (Proceedings of the Goshen Conference on Religion and Science)