Geometric inequalities in spherically symmetric spacetimes

In geometric inequalities ADM mass plays more fundamental role than the concept of quasi-local mass. This paper is to demonstrate that using the quasi-local mass some new insights can be acquired. In spherically symmetric spacetimes the Misner–Sharp mass and the concept of the Kodama vector field pr...

Full description

Saved in:
Bibliographic Details
Published in:General relativity and gravitation 2017-07, Vol.49 (7), p.1-12, Article 94
Main Author: Csukás, Károly Z.
Format: Article
Language:English
Subjects:
Astronomy
Astrophysics and Cosmology
Classical and Quantum Gravitation
Differential Geometry
Gravity
Inequalities
Mathematical and Computational Physics
Physics
Physics and Astronomy
Quantum Physics
Relativity Theory
Research Article
Spacetime
Symmetry
Theoretical
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
cited_by
cites cdi_FETCH-LOGICAL-c268t-d40447c3e0e92201786c1c4a3f76f782d13e1934e5c68a7e9eddcd1fbd36a2b53
container_end_page 12
container_issue 7
container_start_page 1
container_title General relativity and gravitation
container_volume 49
creator Csukás, Károly Z.
description In geometric inequalities ADM mass plays more fundamental role than the concept of quasi-local mass. This paper is to demonstrate that using the quasi-local mass some new insights can be acquired. In spherically symmetric spacetimes the Misner–Sharp mass and the concept of the Kodama vector field provides an ideal setting to the investigations of geometric inequalities. We applying the proposed new techniques to investigate the spacetimes containing black hole or cosmological horizons but we shall also apply them in context of normal bodies. Most of the previous investigations applied only the quasi-local charges and the area. Our main point is to include the quasi-local mass in the corresponding geometrical inequalities. This way we recover some known relations but new inequalities are also derived.
doi_str_mv 10.1007/s10714-017-2256-1
format article
fullrecord <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_journals_1910503511</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>1910503511</sourcerecordid><originalsourceid>FETCH-LOGICAL-c268t-d40447c3e0e92201786c1c4a3f76f782d13e1934e5c68a7e9eddcd1fbd36a2b53</originalsourceid><addsrcrecordid>eNp1kDFPwzAQhS0EEqXwA9gqMRvu7NhO2FAFLVIlFpgt17lAqqRJ7WTov8dVOrAwnd7pe3dPj7F7hEcEME8RwWDGAQ0XQmmOF2yGygheKCku2QwAkBsDeM1uYtwlWRhtZux5RV1LQ6j9ot7TYXRNPdQUk1jE_ofS3jXNcRGP7ZmKvfM01C3FW3ZVuSbS3XnO2dfb6-dyzTcfq_fly4Z7ofOBlxlkmfGSgAohUsBce_SZk5XRlclFiZKwkBkpr3NnqKCy9CVW21JqJ7ZKztnDdLcP3WGkONhdN4Z9emmxQFAgFWKicKJ86GIMVNk-1K0LR4tgTxXZqSKbEthTRfbkEZMnJnb_TeHP5X9Nv6a9aR0</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>1910503511</pqid></control><display><type>article</type><title>Geometric inequalities in spherically symmetric spacetimes</title><source>Springer Link</source><creator>Csukás, Károly Z.</creator><creatorcontrib>Csukás, Károly Z.</creatorcontrib><description>In geometric inequalities ADM mass plays more fundamental role than the concept of quasi-local mass. This paper is to demonstrate that using the quasi-local mass some new insights can be acquired. In spherically symmetric spacetimes the Misner–Sharp mass and the concept of the Kodama vector field provides an ideal setting to the investigations of geometric inequalities. We applying the proposed new techniques to investigate the spacetimes containing black hole or cosmological horizons but we shall also apply them in context of normal bodies. Most of the previous investigations applied only the quasi-local charges and the area. Our main point is to include the quasi-local mass in the corresponding geometrical inequalities. This way we recover some known relations but new inequalities are also derived.</description><identifier>ISSN: 0001-7701</identifier><identifier>EISSN: 1572-9532</identifier><identifier>DOI: 10.1007/s10714-017-2256-1</identifier><language>eng</language><publisher>New York: Springer US</publisher><subject>Astronomy ; Astrophysics and Cosmology ; Classical and Quantum Gravitation ; Differential Geometry ; Gravity ; Inequalities ; Mathematical and Computational Physics ; Physics ; Physics and Astronomy ; Quantum Physics ; Relativity Theory ; Research Article ; Spacetime ; Symmetry ; Theoretical</subject><ispartof>General relativity and gravitation, 2017-07, Vol.49 (7), p.1-12, Article 94</ispartof><rights>Springer Science+Business Media, LLC 2017</rights><rights>Copyright Springer Science &amp; Business Media 2017</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><cites>FETCH-LOGICAL-c268t-d40447c3e0e92201786c1c4a3f76f782d13e1934e5c68a7e9eddcd1fbd36a2b53</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,780,784,27924,27925</link.rule.ids></links><search><creatorcontrib>Csukás, Károly Z.</creatorcontrib><title>Geometric inequalities in spherically symmetric spacetimes</title><title>General relativity and gravitation</title><addtitle>Gen Relativ Gravit</addtitle><description>In geometric inequalities ADM mass plays more fundamental role than the concept of quasi-local mass. This paper is to demonstrate that using the quasi-local mass some new insights can be acquired. In spherically symmetric spacetimes the Misner–Sharp mass and the concept of the Kodama vector field provides an ideal setting to the investigations of geometric inequalities. We applying the proposed new techniques to investigate the spacetimes containing black hole or cosmological horizons but we shall also apply them in context of normal bodies. Most of the previous investigations applied only the quasi-local charges and the area. Our main point is to include the quasi-local mass in the corresponding geometrical inequalities. This way we recover some known relations but new inequalities are also derived.</description><subject>Astronomy</subject><subject>Astrophysics and Cosmology</subject><subject>Classical and Quantum Gravitation</subject><subject>Differential Geometry</subject><subject>Gravity</subject><subject>Inequalities</subject><subject>Mathematical and Computational Physics</subject><subject>Physics</subject><subject>Physics and Astronomy</subject><subject>Quantum Physics</subject><subject>Relativity Theory</subject><subject>Research Article</subject><subject>Spacetime</subject><subject>Symmetry</subject><subject>Theoretical</subject><issn>0001-7701</issn><issn>1572-9532</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2017</creationdate><recordtype>article</recordtype><recordid>eNp1kDFPwzAQhS0EEqXwA9gqMRvu7NhO2FAFLVIlFpgt17lAqqRJ7WTov8dVOrAwnd7pe3dPj7F7hEcEME8RwWDGAQ0XQmmOF2yGygheKCku2QwAkBsDeM1uYtwlWRhtZux5RV1LQ6j9ot7TYXRNPdQUk1jE_ofS3jXNcRGP7ZmKvfM01C3FW3ZVuSbS3XnO2dfb6-dyzTcfq_fly4Z7ofOBlxlkmfGSgAohUsBce_SZk5XRlclFiZKwkBkpr3NnqKCy9CVW21JqJ7ZKztnDdLcP3WGkONhdN4Z9emmxQFAgFWKicKJ86GIMVNk-1K0LR4tgTxXZqSKbEthTRfbkEZMnJnb_TeHP5X9Nv6a9aR0</recordid><startdate>20170701</startdate><enddate>20170701</enddate><creator>Csukás, Károly Z.</creator><general>Springer US</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>20170701</creationdate><title>Geometric inequalities in spherically symmetric spacetimes</title><author>Csukás, Károly Z.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c268t-d40447c3e0e92201786c1c4a3f76f782d13e1934e5c68a7e9eddcd1fbd36a2b53</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2017</creationdate><topic>Astronomy</topic><topic>Astrophysics and Cosmology</topic><topic>Classical and Quantum Gravitation</topic><topic>Differential Geometry</topic><topic>Gravity</topic><topic>Inequalities</topic><topic>Mathematical and Computational Physics</topic><topic>Physics</topic><topic>Physics and Astronomy</topic><topic>Quantum Physics</topic><topic>Relativity Theory</topic><topic>Research Article</topic><topic>Spacetime</topic><topic>Symmetry</topic><topic>Theoretical</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Csukás, Károly Z.</creatorcontrib><collection>CrossRef</collection><jtitle>General relativity and gravitation</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Csukás, Károly Z.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Geometric inequalities in spherically symmetric spacetimes</atitle><jtitle>General relativity and gravitation</jtitle><stitle>Gen Relativ Gravit</stitle><date>2017-07-01</date><risdate>2017</risdate><volume>49</volume><issue>7</issue><spage>1</spage><epage>12</epage><pages>1-12</pages><artnum>94</artnum><issn>0001-7701</issn><eissn>1572-9532</eissn><abstract>In geometric inequalities ADM mass plays more fundamental role than the concept of quasi-local mass. This paper is to demonstrate that using the quasi-local mass some new insights can be acquired. In spherically symmetric spacetimes the Misner–Sharp mass and the concept of the Kodama vector field provides an ideal setting to the investigations of geometric inequalities. We applying the proposed new techniques to investigate the spacetimes containing black hole or cosmological horizons but we shall also apply them in context of normal bodies. Most of the previous investigations applied only the quasi-local charges and the area. Our main point is to include the quasi-local mass in the corresponding geometrical inequalities. This way we recover some known relations but new inequalities are also derived.</abstract><cop>New York</cop><pub>Springer US</pub><doi>10.1007/s10714-017-2256-1</doi><tpages>12</tpages></addata></record>
fulltext fulltext
identifier ISSN: 0001-7701
ispartof General relativity and gravitation, 2017-07, Vol.49 (7), p.1-12, Article 94
issn 0001-7701
1572-9532
language eng
recordid cdi_proquest_journals_1910503511
source Springer Link
subjects Astronomy
Astrophysics and Cosmology
Classical and Quantum Gravitation
Differential Geometry
Gravity
Inequalities
Mathematical and Computational Physics
Physics
Physics and Astronomy
Quantum Physics
Relativity Theory
Research Article
Spacetime
Symmetry
Theoretical
title Geometric inequalities in spherically symmetric spacetimes
url http://sfxeu10.hosted.exlibrisgroup.com/loughborough?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-04T16%3A48%3A19IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Geometric%20inequalities%20in%20spherically%20symmetric%20spacetimes&rft.jtitle=General%20relativity%20and%20gravitation&rft.au=Csuk%C3%A1s,%20K%C3%A1roly%20Z.&rft.date=2017-07-01&rft.volume=49&rft.issue=7&rft.spage=1&rft.epage=12&rft.pages=1-12&rft.artnum=94&rft.issn=0001-7701&rft.eissn=1572-9532&rft_id=info:doi/10.1007/s10714-017-2256-1&rft_dat=%3Cproquest_cross%3E1910503511%3C/proquest_cross%3E%3Cgrp_id%3Ecdi_FETCH-LOGICAL-c268t-d40447c3e0e92201786c1c4a3f76f782d13e1934e5c68a7e9eddcd1fbd36a2b53%3C/grp_id%3E%3Coa%3E%3C/oa%3E%3Curl%3E%3C/url%3E&rft_id=info:oai/&rft_pqid=1910503511&rft_id=info:pmid/&rfr_iscdi=true