Noether Currents and Maxwell-Type Equations of Motion in Higher Derivative Gravity Theories
In general coordinate invariant gravity theories whose Lagrangians contain arbitrarily high order derivative fields, the Noether currents for the global translation and for the Nakanishi’s <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"&...
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MDPI AG
2021-08-01
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| Series: | Symmetry |
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| Online Access: | https://www.mdpi.com/2073-8994/13/8/1408 |
| _version_ | 1797521984198803456 |
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| author | Taichiro Kugo |
| author_facet | Taichiro Kugo |
| author_sort | Taichiro Kugo |
| collection | DOAJ |
| description | In general coordinate invariant gravity theories whose Lagrangians contain arbitrarily high order derivative fields, the Noether currents for the global translation and for the Nakanishi’s <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mrow><mi>I</mi><mspace width="-0.59998pt"></mspace><mi>O</mi><mspace width="-1.1pt"></mspace><mi>S</mi><mspace width="-0.39993pt"></mspace><mi>p</mi></mrow><mo>(</mo><mn>8</mn><mo>|</mo><mn>8</mn><mo>)</mo></mrow></semantics></math></inline-formula> choral symmetry containing the BRS symmetry as its member are constructed. We generally show that for each of these Noether currents, a suitable linear combination of equations of motion can be brought into the form of a Maxwell-type field equation possessing the Noether current as its source term. |
| first_indexed | 2024-03-10T08:20:11Z |
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| id | doaj.art-1cc4b57b8a9042a9a5b970bfcd960417 |
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| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-03-10T08:20:11Z |
| publishDate | 2021-08-01 |
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| series | Symmetry |
| spelling | doaj.art-1cc4b57b8a9042a9a5b970bfcd9604172023-11-22T10:00:59ZengMDPI AGSymmetry2073-89942021-08-01138140810.3390/sym13081408Noether Currents and Maxwell-Type Equations of Motion in Higher Derivative Gravity TheoriesTaichiro Kugo0Yukawa Institute for Theoretical Physics, Kyoto University, Kyoto 606-8502, JapanIn general coordinate invariant gravity theories whose Lagrangians contain arbitrarily high order derivative fields, the Noether currents for the global translation and for the Nakanishi’s <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mrow><mi>I</mi><mspace width="-0.59998pt"></mspace><mi>O</mi><mspace width="-1.1pt"></mspace><mi>S</mi><mspace width="-0.39993pt"></mspace><mi>p</mi></mrow><mo>(</mo><mn>8</mn><mo>|</mo><mn>8</mn><mo>)</mo></mrow></semantics></math></inline-formula> choral symmetry containing the BRS symmetry as its member are constructed. We generally show that for each of these Noether currents, a suitable linear combination of equations of motion can be brought into the form of a Maxwell-type field equation possessing the Noether current as its source term.https://www.mdpi.com/2073-8994/13/8/1408Noether currentgravity theoryhigher derivative systemMaxwell-type equation |
| spellingShingle | Taichiro Kugo Noether Currents and Maxwell-Type Equations of Motion in Higher Derivative Gravity Theories Symmetry Noether current gravity theory higher derivative system Maxwell-type equation |
| title | Noether Currents and Maxwell-Type Equations of Motion in Higher Derivative Gravity Theories |
| title_full | Noether Currents and Maxwell-Type Equations of Motion in Higher Derivative Gravity Theories |
| title_fullStr | Noether Currents and Maxwell-Type Equations of Motion in Higher Derivative Gravity Theories |
| title_full_unstemmed | Noether Currents and Maxwell-Type Equations of Motion in Higher Derivative Gravity Theories |
| title_short | Noether Currents and Maxwell-Type Equations of Motion in Higher Derivative Gravity Theories |
| title_sort | noether currents and maxwell type equations of motion in higher derivative gravity theories |
| topic | Noether current gravity theory higher derivative system Maxwell-type equation |
| url | https://www.mdpi.com/2073-8994/13/8/1408 |
| work_keys_str_mv | AT taichirokugo noethercurrentsandmaxwelltypeequationsofmotioninhigherderivativegravitytheories |