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- Hideki Maeda
- Department of Electronics and Information Engineering, Hokkai-Gakuen University, Sapporo 062-8605, Japan
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- Cristián Martínez
- Centro de Estudios Científicos (CECs), Av. Arturo Prat 514, Valdivia 5110466, Chile
抄録
<jats:title>Abstract</jats:title> <jats:p>Energy conditions for matter fields are comprehensively investigated in arbitrary $n(\ge 3)$ dimensions without specifying future and past directions locally. We classify an energy–momentum tensor into $n$-dimensional counterparts of the Hawking–Ellis types I to IV, where type III is defined by a more useful form than those adopted by Hawking and Ellis and other authors to identify the type-III energy–momentum tensor in a given spacetime. We also provide necessary and sufficient conditions for types I and II as inequalities for the orthonormal components of the energy–momentum tensor in a canonical form and show that types III and IV violate all the standard energy conditions. Lastly, we study energy conditions for a set of physically motivated matter fields.</jats:p>
収録刊行物
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- Progress of Theoretical and Experimental Physics
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Progress of Theoretical and Experimental Physics 2020 (4), 2020-04-01
Oxford University Press (OUP)