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Proof of a Null Penrose Conjecture U...

ProQuest Information and Learning Co.

Proof of a Null Penrose Conjecture Using a New Quasi-local Mass.

Record Type:	Language materials, manuscript : Monograph/item
Title/Author:	Proof of a Null Penrose Conjecture Using a New Quasi-local Mass./
Author:	Roesch, Henri P.
Description:	1 online resource (172 pages)
Notes:	Source: Dissertation Abstracts International, Volume: 78-09(E), Section: B.
Contained By:	Dissertation Abstracts International78-09B(E).
Subject:	Mathematics. -
Online resource:	click for full text (PQDT)
ISBN:	9781369725384

Proof of a Null Penrose Conjecture Using a New Quasi-local Mass.
Roesch, Henri P.

Proof of a Null Penrose Conjecture Using a New Quasi-local Mass. - 1 online resource (172 pages)

Source: Dissertation Abstracts International, Volume: 78-09(E), Section: B.

Thesis (Ph.D.)

Includes bibliographical references

In the theory of general relativity, the Penrose conjecture claims a lower bound for the mass of a spacetime in terms of the area of an outermost horizon, if one exists. In physical terms, this conjecture is a geometric formulation of the statement that the total mass of a spacetime is at least the mass of any black holes that are present, assuming non-negative energy density. For the geometry of light-rays emanating off of a black hole horizon (called a nullcone) the Penrose conjecture can be reformulated to the so-called Null Penrose Conjecture (NPC). In this thesis, we define an explicit quasi-local mass functional that is non-decreasing along all foliations (satisfying a convexity assumption) of nullcones. We use this new functional to prove the NPC under fairly generic conditions.

Electronic reproduction.
Ann Arbor, Mich. :
ProQuest,
2018

Mode of access: World Wide Web

ISBN: 9781369725384Subjects--Topical Terms:

527692
Mathematics.
Index Terms--Genre/Form:

554714
Electronic books.

Proof of a Null Penrose Conjecture Using a New Quasi-local Mass.
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100 1 $a Roesch, Henri P. $3 1180620
245 1 0 $a Proof of a Null Penrose Conjecture Using a New Quasi-local Mass.
264 0 $c 2017
300 $a 1 online resource (172 pages)
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
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500 $a Source: Dissertation Abstracts International, Volume: 78-09(E), Section: B.
500 $a Adviser: Hubert L. Bray.
502 $a Thesis (Ph.D.) $c Duke University $d 2017.
504 $a Includes bibliographical references
520 $a In the theory of general relativity, the Penrose conjecture claims a lower bound for the mass of a spacetime in terms of the area of an outermost horizon, if one exists. In physical terms, this conjecture is a geometric formulation of the statement that the total mass of a spacetime is at least the mass of any black holes that are present, assuming non-negative energy density. For the geometry of light-rays emanating off of a black hole horizon (called a nullcone) the Penrose conjecture can be reformulated to the so-called Null Penrose Conjecture (NPC). In this thesis, we define an explicit quasi-local mass functional that is non-decreasing along all foliations (satisfying a convexity assumption) of nullcones. We use this new functional to prove the NPC under fairly generic conditions.
533 $a Electronic reproduction. $b Ann Arbor, Mich. : $c ProQuest, $d 2018
538 $a Mode of access: World Wide Web
650 4 $a Mathematics. $3 527692
655 7 $a Electronic books. $2 local $3 554714
690 $a 0405
710 2 $a ProQuest Information and Learning Co. $3 1178819
710 2 $a Duke University. $b Mathematics. $3 1180607
773 0 $t Dissertation Abstracts International $g 78-09B(E).
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=10259603 $z click for full text (PQDT)

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