Induced spatial geometry from causal structure
Motivated by the Hawking-King-McCarthy-Malament (HKMM) theorem and the associated reconstruction of spacetime geometry from its causal structure and local volume element , we define a one-parameter family of spatial distance functions on a Cauchy hypersurface using only and . The parameter correspon...
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Dokumenttyp: | Article (Journal) |
| Sprache: | Englisch |
| Veröffentlicht: |
15 April 2019
|
| In: |
Classical and quantum gravity
Year: 2019, Jahrgang: 36, Heft: 10 |
| ISSN: | 1361-6382 |
| DOI: | 10.1088/1361-6382/ab114b |
| Online-Zugang: | Verlag, Volltext: https://doi.org/10.1088/1361-6382/ab114b Verlag, Volltext: https://doi.org/10.1088%2F1361-6382%2Fab114b 
|
| Verfasserangaben: | Astrid Eichhorn, Sumati Surya, Fleur Versteegen |
MARC
| LEADER | 00000caa a2200000 c 4500 | ||
|---|---|---|---|
| 001 | 166509348X | ||
| 003 | DE-627 | ||
| 005 | 20220816150644.0 | ||
| 007 | cr uuu---uuuuu | ||
| 008 | 190510s2019 xx |||||o 00| ||eng c | ||
| 024 | 7 | |a 10.1088/1361-6382/ab114b |2 doi | |
| 035 | |a (DE-627)166509348X | ||
| 035 | |a (DE-599)KXP166509348X | ||
| 035 | |a (OCoLC)1341212847 | ||
| 040 | |a DE-627 |b ger |c DE-627 |e rda | ||
| 041 | |a eng | ||
| 084 | |a 29 |2 sdnb | ||
| 100 | 1 | |a Eichhorn, Astrid |d 1983- |e VerfasserIn |0 (DE-588)1137344369 |0 (DE-627)894438050 |0 (DE-576)432759603 |4 aut | |
| 245 | 1 | 0 | |a Induced spatial geometry from causal structure |c Astrid Eichhorn, Sumati Surya, Fleur Versteegen |
| 264 | 1 | |c 15 April 2019 | |
| 300 | |a ? | ||
| 336 | |a Text |b txt |2 rdacontent | ||
| 337 | |a Computermedien |b c |2 rdamedia | ||
| 338 | |a Online-Ressource |b cr |2 rdacarrier | ||
| 500 | |a Gesehen am 10.05.2019 | ||
| 520 | |a Motivated by the Hawking-King-McCarthy-Malament (HKMM) theorem and the associated reconstruction of spacetime geometry from its causal structure and local volume element , we define a one-parameter family of spatial distance functions on a Cauchy hypersurface using only and . The parameter corresponds to a ‘mesoscale’ cut-off which, when appropriately chosen, provides a distance function which approximates the induced spatial distance function to leading order. This admits a straightforward generalisation to the discrete analogue of a Cauchy hypersurface in a causal set. For causal sets which are approximated by continuum spacetimes, this distance function approaches the continuum induced distance when the mesoscale is much smaller than the scale of the extrinsic curvature of the hypersurface, but much larger than the discreteness scale. We verify these expectations by performing extensive numerical simulations of causal sets which are approximated by simple spacetime regions in 2 and 3 spacetime dimensions. | ||
| 700 | 1 | |a Surya, Sumati |e VerfasserIn |0 (DE-588)1145055087 |0 (DE-627)1006484124 |0 (DE-576)495597333 |4 aut | |
| 700 | 1 | |a Versteegen, Fleur |d 1992- |e VerfasserIn |0 (DE-588)1150417579 |0 (DE-627)1010741225 |0 (DE-576)497053845 |4 aut | |
| 773 | 0 | 8 | |i Enthalten in |t Classical and quantum gravity |d Bristol : IOP Publ., 1984 |g 36(2019,10) Artikel-Nummer e105005, ? Seiten |h Online-Ressource |w (DE-627)268761310 |w (DE-600)1473117-4 |w (DE-576)077610490 |x 1361-6382 |7 nnas |a Induced spatial geometry from causal structure |
| 773 | 1 | 8 | |g volume:36 |g year:2019 |g number:10 |g extent:? |a Induced spatial geometry from causal structure |
| 856 | 4 | 0 | |u https://doi.org/10.1088/1361-6382/ab114b |x Verlag |x Resolving-System |3 Volltext |
| 856 | 4 | 0 | |u https://doi.org/10.1088%2F1361-6382%2Fab114b |x Verlag |3 Volltext |
| 951 | |a AR | ||
| 992 | |a 20190510 | ||
| 993 | |a Article | ||
| 994 | |a 2019 | ||
| 998 | |g 1150417579 |a Versteegen, Fleur |m 1150417579:Versteegen, Fleur |d 130000 |d 130300 |e 130000PV1150417579 |e 130300PV1150417579 |k 0/130000/ |k 1/130000/130300/ |p 3 |y j | ||
| 998 | |g 1137344369 |a Eichhorn, Astrid |m 1137344369:Eichhorn, Astrid |d 130000 |d 130300 |e 130000PE1137344369 |e 130300PE1137344369 |k 0/130000/ |k 1/130000/130300/ |p 1 |x j | ||
| 999 | |a KXP-PPN166509348X |e 3474390813 | ||
| BIB | |a Y | ||
| SER | |a journal | ||
| JSO | |a {"title":[{"title_sort":"Induced spatial geometry from causal structure","title":"Induced spatial geometry from causal structure"}],"physDesc":[{"extent":"? S."}],"relHost":[{"physDesc":[{"extent":"Online-Ressource"}],"origin":[{"dateIssuedKey":"1984","publisherPlace":"Bristol","publisher":"IOP Publ.","dateIssuedDisp":"1984-"}],"type":{"media":"Online-Ressource","bibl":"periodical"},"pubHistory":["1.1984 -"],"note":["Gesehen am 14.12.18"],"recId":"268761310","part":{"extent":"?","text":"36(2019,10) Artikel-Nummer e105005, ? Seiten","year":"2019","volume":"36","issue":"10"},"title":[{"title_sort":"Classical and quantum gravity","title":"Classical and quantum gravity"}],"language":["eng"],"disp":"Induced spatial geometry from causal structureClassical and quantum gravity","id":{"eki":["268761310"],"issn":["1361-6382"],"zdb":["1473117-4"]}}],"origin":[{"dateIssuedKey":"2019","dateIssuedDisp":"15 April 2019"}],"type":{"media":"Online-Ressource","bibl":"article-journal"},"note":["Gesehen am 10.05.2019"],"name":{"displayForm":["Astrid Eichhorn, Sumati Surya, Fleur Versteegen"]},"recId":"166509348X","person":[{"given":"Astrid","roleDisplay":"VerfasserIn","display":"Eichhorn, Astrid","family":"Eichhorn","role":"aut"},{"role":"aut","family":"Surya","display":"Surya, Sumati","roleDisplay":"VerfasserIn","given":"Sumati"},{"given":"Fleur","roleDisplay":"VerfasserIn","display":"Versteegen, Fleur","family":"Versteegen","role":"aut"}],"id":{"doi":["10.1088/1361-6382/ab114b"],"eki":["166509348X"]},"language":["eng"]} | ||
| SRT | |a EICHHORNASINDUCEDSPA1520 | ||