The idea of “asymptotically free” gravity is implemented using a constrained mimetic scalar field. The effective gravitational constant is assumed to vanish at some limiting curvature. As a result singularities in spatially flat Friedmann and Kasner universes are avoided. Instead, the solutions in both cases approach a de Sitter metric with limiting curvature. We show that quantum metric fluctuations vanish when this limiting curvature is approached.
{ "_oai": { "updated": "2019-08-27T03:36:58Z", "id": "oai:repo.scoap3.org:48340", "sets": [ "EPJC" ] }, "authors": [ { "affiliations": [ { "country": "Lebanon", "value": "Physics Department, American University of Beirut, Beirut, Lebanon", "organization": "American University of Beirut" }, { "country": "Netherlands", "value": "Institute for Mathematics, Astrophysics and Particle Physics, Radboud University Nijmegen, Heyendaalseweg 135, Nijmegen, 6525 AJ, The Netherlands", "organization": "Radboud University Nijmegen" } ], "surname": "Chamseddine", "given_names": "Ali", "full_name": "Chamseddine, Ali" }, { "affiliations": [ { "country": "Germany", "value": "Theoretical Physics, Ludwig Maxmillians University, Theresienstr. 37, Munich, 80333, Germany", "organization": "Ludwig Maxmillians University" }, { "country": "Germany", "value": "MPI for Physics, Foehringer Ring, 6, Munich, 80850, Germany", "organization": "MPI for Physics" }, { "country": "South Korea", "value": "School of Physics, Korea Institute for Advanced Study, Seoul, 02455, Korea", "organization": "Korea Institute for Advanced Study" } ], "surname": "Mukhanov", "email": "Viatcheslav.Mukhanov@physik.uni-muenchen.de", "full_name": "Mukhanov, Viatcheslav", "given_names": "Viatcheslav" }, { "affiliations": [ { "country": "Germany", "value": "Theoretical Physics, Ludwig Maxmillians University, Theresienstr. 37, Munich, 80333, Germany", "organization": "Ludwig Maxmillians University" } ], "surname": "Russ", "given_names": "Tobias", "full_name": "Russ, Tobias" } ], "titles": [ { "source": "Springer", "title": "Asymptotically free mimetic gravity" } ], "dois": [ { "value": "10.1140/epjc/s10052-019-7075-y" } ], "publication_info": [ { "page_end": "6", "journal_title": "European Physical Journal C", "material": "article", "journal_volume": "79", "artid": "s10052-019-7075-y", "year": 2019, "page_start": "1", "journal_issue": "7" } ], "$schema": "http://repo.scoap3.org/schemas/hep.json", "acquisition_source": { "date": "2019-08-27T05:34:03.117873", "source": "Springer", "method": "Springer", "submission_number": "f317b6b0c87a11e9be7702163e01809a" }, "page_nr": [ 6 ], "license": [ { "url": "https://creativecommons.org/licenses//by/4.0", "license": "CC-BY-4.0" } ], "copyright": [ { "holder": "The Author(s)", "year": "2019" } ], "control_number": "48340", "record_creation_date": "2019-07-03T11:30:18.270952", "_files": [ { "checksum": "md5:b921e57ec8aaa5e81ad9f04221080703", "filetype": "xml", "bucket": "9bf1c398-2de2-46bf-817e-f50e00af9ded", "version_id": "f3446de8-e583-4398-8cbe-5d58f1c88688", "key": "10.1140/epjc/s10052-019-7075-y.xml", "size": 11391 }, { "checksum": "md5:65ee901cca1b959c2236cc289a40a7f2", "filetype": "pdf/a", "bucket": "9bf1c398-2de2-46bf-817e-f50e00af9ded", "version_id": "c01482a5-d47a-49ec-9dc5-826b2a524271", "key": "10.1140/epjc/s10052-019-7075-y_a.pdf", "size": 281601 } ], "collections": [ { "primary": "European Physical Journal C" } ], "arxiv_eprints": [ { "categories": [ "hep-th", "gr-qc" ], "value": "1905.01343" } ], "abstracts": [ { "source": "Springer", "value": "The idea of \u201casymptotically free\u201d gravity is implemented using a constrained mimetic scalar field. The effective gravitational constant is assumed to vanish at some limiting curvature. As a result singularities in spatially flat Friedmann and Kasner universes are avoided. Instead, the solutions in both cases approach a de Sitter metric with limiting curvature. We show that quantum metric fluctuations vanish when this limiting curvature is approached." } ], "imprints": [ { "date": "2019-08-26", "publisher": "Springer" } ] }