{"title":"Constraints and time evolution in generic f(Riemann) gravity","authors":"Emel Altas, Bayram Tekin","doi":"10.1088/1751-8121/ad74bc","DOIUrl":null,"url":null,"abstract":"We give a detailed canonical analysis of the <italic toggle=\"yes\">n</italic>-dimensional <italic toggle=\"yes\">f</italic>(Riemann) gravity, correcting the earlier results in the literature. We also write the field equations in the Fischer–Marsden form which is amenable to identifying the non-stationary energy on a spacelike hypersurface. We give pure <italic toggle=\"yes\">R</italic><sup>2</sup> and <inline-formula>\n<tex-math><?CDATA $R_{\\mu\\nu}R^{\\mu\\nu}$?></tex-math><mml:math overflow=\"scroll\"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:mi>μ</mml:mi><mml:mi>ν</mml:mi></mml:mrow></mml:msub><mml:msup><mml:mi>R</mml:mi><mml:mrow><mml:mi>μ</mml:mi><mml:mi>ν</mml:mi></mml:mrow></mml:msup></mml:mrow></mml:math><inline-graphic xlink:href=\"aad74bcieqn1.gif\"></inline-graphic></inline-formula> theories as examples.","PeriodicalId":16763,"journal":{"name":"Journal of Physics A: Mathematical and Theoretical","volume":"17 1","pages":""},"PeriodicalIF":2.0000,"publicationDate":"2024-09-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Physics A: Mathematical and Theoretical","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1088/1751-8121/ad74bc","RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"PHYSICS, MATHEMATICAL","Score":null,"Total":0}
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Abstract
We give a detailed canonical analysis of the n-dimensional f(Riemann) gravity, correcting the earlier results in the literature. We also write the field equations in the Fischer–Marsden form which is amenable to identifying the non-stationary energy on a spacelike hypersurface. We give pure R2 and RμνRμν theories as examples.
期刊介绍：
Publishing 50 issues a year, Journal of Physics A: Mathematical and Theoretical is a major journal of theoretical physics reporting research on the mathematical structures that describe fundamental processes of the physical world and on the analytical, computational and numerical methods for exploring these structures.
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