Modified Gravity Models Admitting Second Order Equations of Motion
The aim of this paper is to find higher order geometrical corrections to the Einstein–Hilbert action that can lead only to second order equations of motion. The metric formalism is used, and static spherically-symmetric and Friedmann–Lemaître space-times are considered, in four dimensions. The Fulli...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2015-09-01
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| Series: | Entropy |
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| Online Access: | http://www.mdpi.com/1099-4300/17/10/6643 |
| _version_ | 1798027084657852416 |
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| author | Aimeric Colléaux Sergio Zerbini |
| author_facet | Aimeric Colléaux Sergio Zerbini |
| author_sort | Aimeric Colléaux |
| collection | DOAJ |
| description | The aim of this paper is to find higher order geometrical corrections to the Einstein–Hilbert action that can lead only to second order equations of motion. The metric formalism is used, and static spherically-symmetric and Friedmann–Lemaître space-times are considered, in four dimensions. The Fulling, King, Wybourne and Cummings (FKWC) basis is introduced in order to consider all of the possible invariant scalars, and both polynomial and non-polynomial gravities are investigated. |
| first_indexed | 2024-04-11T18:45:42Z |
| format | Article |
| id | doaj.art-dbf4a1420ff1429394f800420ac123c6 |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-04-11T18:45:42Z |
| publishDate | 2015-09-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-dbf4a1420ff1429394f800420ac123c62022-12-22T04:08:50ZengMDPI AGEntropy1099-43002015-09-0117106643666210.3390/e17106643e17106643Modified Gravity Models Admitting Second Order Equations of MotionAimeric Colléaux0Sergio Zerbini1Department of Physics, Trento University, Via Sommarive 14, 38123 Trento, ItalyDepartment of Physics, Trento University, Via Sommarive 14, 38123 Trento, ItalyThe aim of this paper is to find higher order geometrical corrections to the Einstein–Hilbert action that can lead only to second order equations of motion. The metric formalism is used, and static spherically-symmetric and Friedmann–Lemaître space-times are considered, in four dimensions. The Fulling, King, Wybourne and Cummings (FKWC) basis is introduced in order to consider all of the possible invariant scalars, and both polynomial and non-polynomial gravities are investigated.http://www.mdpi.com/1099-4300/17/10/6643modified gravitiesnon-polynomial gravitieshigher order correctionsregular cosmological solutionsFLRW space-times, static spherically-symmetric space-times |
| spellingShingle | Aimeric Colléaux Sergio Zerbini Modified Gravity Models Admitting Second Order Equations of Motion Entropy modified gravities non-polynomial gravities higher order corrections regular cosmological solutions FLRW space-times, static spherically-symmetric space-times |
| title | Modified Gravity Models Admitting Second Order Equations of Motion |
| title_full | Modified Gravity Models Admitting Second Order Equations of Motion |
| title_fullStr | Modified Gravity Models Admitting Second Order Equations of Motion |
| title_full_unstemmed | Modified Gravity Models Admitting Second Order Equations of Motion |
| title_short | Modified Gravity Models Admitting Second Order Equations of Motion |
| title_sort | modified gravity models admitting second order equations of motion |
| topic | modified gravities non-polynomial gravities higher order corrections regular cosmological solutions FLRW space-times, static spherically-symmetric space-times |
| url | http://www.mdpi.com/1099-4300/17/10/6643 |
| work_keys_str_mv | AT aimericcolleaux modifiedgravitymodelsadmittingsecondorderequationsofmotion AT sergiozerbini modifiedgravitymodelsadmittingsecondorderequationsofmotion |