PPT-Weyl gravity as general relativity

Conformal gauge theories of gravity Midwest Relativity Meeting 2013 James T Wheeler Work done in collaboration with Juan Trujillo and Jeff Hazboun Auxiliary conformal gauge theory . Geraint F. Lewis. Sydney Institute for Astronomy. School of Physics. University of Sydney. So far we have looked at the special theory of relativity, but today we will expand our understanding to incorporate gravity. . A Brief Timeline of the . Discovery of Gravity. Aristotle. There . is . no effect or motion without a cause. . . The element of earth was thought to be heavy by nature and therefore pulled towards the centre of the (geocentric) universe.. . speeds. , an . experiment. and some . theoretical. . considerations. B. . Allés. INFN Pisa. [. Phys. . Rev. D85 047501 (2012) or arXiv:1111.0805]. Málaga, . June. 2012. CNGS Experiment. CNGS Experiment. Einstein and Newton. 1. Newtonian Gravity. Newton explains the universe using forces. 2. Newton. Newtonian gravitational theory is based on forces acting on one another.. An object at rest stays at rest and an object in motion stays in motion (in a straight line) until acted upon by another force.. Hubble’s Law: v = H. o. d. Velocity increases with distance. Expanding Universe. Hubble’s law .  Universe is expanding. Universe had a beginning !. How long ago?. Age of the universe: 1/H. General Relativity. Principle of equivalence:. There is no experiment that will discern the difference between the effect of gravity and the effect of acceleration.. Or…. Gravitational and inertial mass are equivalent.. A Copernican View. C. S. Unnikrishnan. Gravitation Lab, . Tata Institute of Fundamental Research, . Homi Bhabha Road, Mumbai 400005, India. . E-mail address: . unni@tifr.res.in. Website: . www.tifr.res.in/~filab. Spacetime and Gravity. http://en.wikipedia.org/wiki/General_relativity_resources. . S3.1 Einstein’s Revolution. Our goals for learning. What are the major ideas of general relativity?. Is all . motion relative. Curved space (33-3). Rate of clocks running (like whiteboards). Black Holes (33-3). Red Shift (33:29). Hubble’s Law (33:25). Apparent Curvature of light:. In 1919, Sir Arthur Eddington measured the deflection of light near the sun during an eclipse.. General Relativity. Principle of equivalence:. There is no experiment that will discern the difference between the effect of gravity and the effect of acceleration.. Or…. Gravitational and inertial mass are equivalent.. to be known.”. . Carl Sagan. Imagine Yourself Doing This…. Go to a blank wall in a large room.. Stand in front of it with your nose one inch away, and only look straight ahead.. What do you see?. S2 and . S3: Special and General Relativity. We will consider just a small part of these – which introduce Einstein’s Special and General Theories of Relativity. Young . Einstein. (better than oldster disheveled version). This book opens by setting the mathematical background (differential geometry, hypersurfaces embedded in spacetime, foliation of spacetime by a family of space-like hypersurfaces), and then turns to the 3+1 decomposition of the Einstein equations. Institute for Advanced Study. . November 2015. General Relativity produced . t. wo stunning predictions:. Black holes . Expanding universe. “Your math is great, but your physics is dismal”. . Both involve drastic stretching of space and/or time.