One Gravitational Potential or Two? Forecasts and Tests
The metric of a perturbed Robertson–Walker space–time is characterized by three functions: a scale-factor giving the expansion history and two potentials that generalize the single potential of Newtonian gravity. The Newtonian potential induces peculiar velocities and, from these, the growth of matt...
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Royal Society, The
2012
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Online Access: | http://hdl.handle.net/1721.1/71129 https://orcid.org/0000-0003-2480-5973 |
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author | Bertschinger, Edmund |
author2 | Massachusetts Institute of Technology. Department of Physics |
author_facet | Massachusetts Institute of Technology. Department of Physics Bertschinger, Edmund |
author_sort | Bertschinger, Edmund |
collection | MIT |
description | The metric of a perturbed Robertson–Walker space–time is characterized by three functions: a scale-factor giving the expansion history and two potentials that generalize the single potential of Newtonian gravity. The Newtonian potential induces peculiar velocities and, from these, the growth of matter fluctuations. Massless particles respond equally to the Newtonian potential and to a curvature potential. The difference of the two potentials, called the gravitational slip, is predicted to be very small in general relativity, but can be substantial in modified gravity theories. The two potentials can be measured, and gravity tested on cosmological scales, by combining weak gravitational lensing or the integrated Sachs–Wolfe effect with galaxy peculiar velocities or clustering. |
first_indexed | 2024-09-23T10:52:16Z |
format | Article |
id | mit-1721.1/71129 |
institution | Massachusetts Institute of Technology |
language | en_US |
last_indexed | 2024-09-23T10:52:16Z |
publishDate | 2012 |
publisher | Royal Society, The |
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spelling | mit-1721.1/711292022-09-27T15:34:57Z One Gravitational Potential or Two? Forecasts and Tests Bertschinger, Edmund Massachusetts Institute of Technology. Department of Physics MIT Kavli Institute for Astrophysics and Space Research Bertschinger, Edmund Bertschinger, Edmund The metric of a perturbed Robertson–Walker space–time is characterized by three functions: a scale-factor giving the expansion history and two potentials that generalize the single potential of Newtonian gravity. The Newtonian potential induces peculiar velocities and, from these, the growth of matter fluctuations. Massless particles respond equally to the Newtonian potential and to a curvature potential. The difference of the two potentials, called the gravitational slip, is predicted to be very small in general relativity, but can be substantial in modified gravity theories. The two potentials can be measured, and gravity tested on cosmological scales, by combining weak gravitational lensing or the integrated Sachs–Wolfe effect with galaxy peculiar velocities or clustering. National Science Foundation (U.S.) (grant AST-0708501) Kavli Institute for Astrophysics and Space Research 2012-06-11T15:19:01Z 2012-06-11T15:19:01Z 2011-12 Article http://purl.org/eprint/type/JournalArticle 1364-503X 1471-2962 http://hdl.handle.net/1721.1/71129 Bertschinger, E. “One gravitational potential or two? Forecasts and tests.” Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 369.1957 (2011): 4947-4961. 22084285 https://orcid.org/0000-0003-2480-5973 en_US http://dx.doi.org/10.1098/rsta.2011.0369 Philosophical Transactions of The Royal Society A Mathematical Physical and Engineering Sciences Creative Commons Attribution-Noncommercial-Share Alike 3.0 http://creativecommons.org/licenses/by-nc-sa/3.0/ application/pdf Royal Society, The Prof. Bertschinger via Mat Willmott |
spellingShingle | Bertschinger, Edmund One Gravitational Potential or Two? Forecasts and Tests |
title | One Gravitational Potential or Two? Forecasts and Tests |
title_full | One Gravitational Potential or Two? Forecasts and Tests |
title_fullStr | One Gravitational Potential or Two? Forecasts and Tests |
title_full_unstemmed | One Gravitational Potential or Two? Forecasts and Tests |
title_short | One Gravitational Potential or Two? Forecasts and Tests |
title_sort | one gravitational potential or two forecasts and tests |
url | http://hdl.handle.net/1721.1/71129 https://orcid.org/0000-0003-2480-5973 |
work_keys_str_mv | AT bertschingeredmund onegravitationalpotentialortwoforecastsandtests |