TY - BOOK AU - Smoller,Joel AU - Temple,Blake TI - General relativistic self-similar waves that induce an anomalous acceleration into the standard model of cosmology T2 - Memoirs of the American Mathematical Society, SN - 9780821890127 (online) AV - QC173.6 .S66 2012 U1 - 531/.1133 23 PY - 2012/// CY - Providence, R.I. PB - American Mathematical Society KW - Einstein field equations KW - Shock waves KW - Mathematical models KW - Relativistic quantum theory KW - General relativity (Physics) N1 - "July 2012, volume 218, number 1025 (third of 5 numbers)."; Includes bibliographical references (p. 69) and index; Chapter 1. Introduction; Chapter 2. Self-similar coordinates for the $k=0$ FRW spacetime; Chapter 3. The expanding wave equations; Chapter 4. Canonical co-moving coordinates and comparison with the $k \ne 0$ FRW spacetimes; Chapter 5. Leading order corrections to the standard model induced by the expanding waves; Chapter 6. A foliation of the expanding wave spacetimes into flat spacelike hypersurfaces with modified scale factor $R(t) = t^a$; Chapter 7. Expanding wave corrections to the standard model in approximate co-moving coordinates; Chapter 8. Redshift vs luminosity relations and the anomalous acceleration; Chapter 9. Appendix: The mirror problem; Chapter 10. Concluding remarks; Access is restricted to licensed institutions; Electronic reproduction; Providence, Rhode Island; American Mathematical Society; 2012 UR - http://www.ams.org/memo/1025 UR - http://dx.doi.org/10.1090/S0065-9266-2011-00641-6 ER -