/BBox [0 0 362.835 3.985] GENERAL RELATIVITY AND GRAVITATION A Centennial Perspective Explore spectacular advances in cosmology, relativistic astrophysics, gravitational wave science, mathematics, computational science, and the interface of gravitation and quantum physics with this unique celebration of the centennial of Einstein’s discovery of general relativity. /Length 728 /Matrix [1 0 0 1 0 0] 417 endstream 25 0 obj << . 38 0 obj <<

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v endobj /Length 777 /FormType 1 /Subtype /Form /Length 15 /Resources 33 0 R /Length 641 /BBox [0 0 6.048 6.048] The general theory of relativity, together with the necessary parts of the theory of invariants, is dealt with in the author’s book Die Grundlagen der allgemeinen Relativitätstheorie (The Foundations of the General Theory of Relativity) — Joh. . . /Filter /FlateDecode . The purpose of these lectures is to explain this. /FormType 1 � ��e�2l� �81"�9a\�.�������-�N �5to����6�S��@s1&8�=@��s�+W� �������l{��-k�K‰�ڹy |>��k��z�-iSj%0K�6,qI�|�I޴�̝��b�_w�i-�-���W���(���xs�E�v�ߤ�`�P�0N���!�kH�p�dU�����rM�? /Filter /FlateDecode /Subtype /Form 30 0 obj << 13 0 obj << The e ects that we attribute to the force of gravity are due to the bending and warping of spacetime, from falling cats, to orbiting spinning planets, to the motion of the cosmos on the grandest scale. .

>> stream 17 0 obj << x��V�r�0��+��ET=���H=�v�d��"�`�0���#��}���8��v�3���tu�9������D endobj . /FormType 1 the Special Theory, the General Theory of Relativity is falsifiable.
stream /Subtype /Form /Length 15 endobj A really good book at stream General relativity describes curved spacetimes. endstream

x�ŖK��0���s�C\���n�Q+uW�=�z� IQ �&��~��m�@Ӎ�P�`��7��ئ� endstream /Filter /FlateDecode x�ŖMs�0����=�A��,ٹ�i��s�-Ӄcab�Ę����,�Gi�I�� ���}�d̀����F�#��#�4�#(�����E�� �o��A�v��T��CUC��^x'�1���>���T�-zo>,8����w��g.�� V�\������D�2��O�B�(ÿ�� p�Dx�A6A����:��d�r�x,\Еmc�37+�����I�T�IU��d��u�S؀(�w�D1��D�����]d��� Gi�c8�!��ZRF��.�ny�շ��B�>!�hj�txގ�/�S�+�)$�FR �:�0��MX 8���?�uZ�my6�>����7�?���H�����y��Հ�/�"[�e�p�H_>6�pW���11�����p^z��e]��*sE�Hm�8���Z��(/�V�x}4��~�H�D���4�>��@�ޭs^�i���U������j�b��2؍���4�#*d�s\�e�������X�Y�39_���;7i��g K M�I���K^gwֶ�ԏ�{ˈ�h��u-�an��< �1q���]���fw�-�l}D��7��/��bѤ�������Kߦ�|�f7wU��o��oz%MGR'Tk���~H���/ڒ�rZ�.��:���S�*�4�{�W^�k����*[���=�}B4����G�y9���$�����˛ǜ*n�s*��ӻ;�z��[��\�i�M�*/h�'��O~۸ Tp���t��~�0�~�k�ߝo���1���� /BBox [0 0 362.835 272.126] Gravitation:Tensor Calculus An Introduction to General Relativity Pablo Laguna Center for Relativistic Astrophysics School of Physics Georgia Institute of Technology Notes based on textbook: Spacetime and Geometry by S.M. >>

There is nothing mysterious about the words \ at" or \curved" attached to a spacetime. /Type /XObject /Resources 24 0 R endstream Carroll Spring 2013 Pablo Laguna Gravitation:Tensor Calculus

The Theory • Einstein’s Theory of General Relativity (1907-1915) Theory of Gravity supersedes Newton’s Theory of Gravity (1684) Valid near very massive objects, high velocities, the

. 26 0 obj << /Length 15 • B.F. Schutz, A First Course in General Relativity (Cambridge, 1985) [*]. %���� endobj x���P(�� ��

>> PostScript PDF Content . %PDF-1.5 endobj >> )�6�* 1��E��?G������D`m���� ���~0���o����5�ŌFY�i����)�&���]��M^��)��胾�'Iˬ-��eFkN�s������B�v�|� ��E��5�e�2tҘ��y�w�F�JA��⢵ o�=x7>�,���X:�E�P:��h�鮲�>+݈�D5�5l(ZK���i�Ͱ_�E>6��-�@D4N� ��b��"��U]de����☓h3�U3b�Й�U��]U�k7�� �.�U���CzD���40�c\,,0֔ȧX"�779�� ��l}����7�K�F�W�3!^��88!�Y7������9�r?�ֻ�� This is a very nice introductory text. The lesson is that for any gravitational force we can always choose a frame of reference in which an observer will not experience any gravitational endstream . /Filter /FlateDecode They are chosen because of a remarkable analogy, already hinted at, concerning the mathematical description of a spacetime: a curved spacetime Especially useful if, for example, you aren’t quite clear on what the energy-momentum tensor really means. • S. Weinberg, Gravitation and Cosmology (Wiley, 1972) [**]. stream /Resources 34 0 R

/Matrix [1 0 0 1 0 0] gravity. How to describe gravity then? • S. Weinberg, Gravitation and Cosmology (Wiley, 1972) [**]. )O��*+���_-�͎ e� 52!� �B�BA. General relativity is the theory of space and time and gravity. /Filter /FlateDecode

stream The essence of the theory is simple: gravity is geometry. >>
/Type /XObject Barth, 1916; this book assumes some familiarity with the special theory of relativity. >> The purpose of . Ambr. Lecture Notes on General Relativity MatthiasBlau Albert Einstein Center for Fundamental Physics Institut fu¨r Theoretische Physik Universit¨at Bern CH-3012 Bern, Switzerland ... 21.6 Back to Gravity: Conjugate Momenta and Primary Constraints . x���P(�� ��

/Type /XObject /Matrix [1 0 0 1 0 0] x���P(�� �� Figure 7.3: An observer cannot distinguish between acceleration produced by a rocket and the acceleration produced by gravity. stream

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