Raychaudhuri equation, geometrical flows and geometrical entropy

Lawrence Paul Horwitz; Vishnu S. Namboothiri; K. Gautham Varma; Asher Yahalom; Yosef Strauss; Jacob Levitan

doi:10.3390/sym13060957

Raychaudhuri equation, geometrical flows and geometrical entropy

Lawrence Paul Horwitz, Vishnu S. Namboothiri, K. Gautham Varma, Asher Yahalom, Yosef Strauss, Jacob Levitan

פרסום מחקרי: פרסום בכתב עת › מאמר › ביקורת עמיתים

12 ציטוטים ‏(Scopus)

תקציר

The Raychaudhuri equation is derived by assuming geometric flow in space–time M of n + 1 dimensions. The equation turns into a harmonic oscillator form under suitable transforma-tions. Thereby, a relation between geometrical entropy and mean geodesic deviation is established. This has a connection to chaos theory where the trajectories diverge exponentially. We discuss its application to cosmology and black holes. Thus, we establish a connection between chaos theory and general relativity.

שפה מקורית	אנגלית
מספר המאמר	957
כתב עת	Symmetry
כרך	13
מספר גיליון	6
מזהי עצם דיגיטלי (DOIs)	https://doi.org/10.3390/sym13060957
סטטוס פרסום	פורסם - יוני 2021

גישה למסמך

10.3390/sym13060957

קבצים וקישורים אחרים

Link to publication in Scopus

פורמט ציטוט ביבליוגרפי

@article{164d8bdd6c104624942915869f917b98,

title = "Raychaudhuri equation, geometrical flows and geometrical entropy",

abstract = "The Raychaudhuri equation is derived by assuming geometric flow in space–time M of n + 1 dimensions. The equation turns into a harmonic oscillator form under suitable transforma-tions. Thereby, a relation between geometrical entropy and mean geodesic deviation is established. This has a connection to chaos theory where the trajectories diverge exponentially. We discuss its application to cosmology and black holes. Thus, we establish a connection between chaos theory and general relativity.",

keywords = "Chaos theory, Geometrical entropy, Geometrical flow, Kaluza Klein cosmology, Kaluza Klein theory, Raychaudhuri equation, Riccati equation",

author = "Horwitz, {Lawrence Paul} and Namboothiri, {Vishnu S.} and {Gautham Varma}, K. and Asher Yahalom and Yosef Strauss and Jacob Levitan",

note = "Publisher Copyright: {\textcopyright} 2021 by the authors. Licensee MDPI, Basel, Switzerland.",

year = "2021",

month = jun,

doi = "10.3390/sym13060957",

language = "אנגלית",

volume = "13",

journal = "Symmetry",

issn = "2073-8994",

publisher = "Multidisciplinary Digital Publishing Institute (MDPI)",

number = "6",

}

TY - JOUR

T1 - Raychaudhuri equation, geometrical flows and geometrical entropy

AU - Horwitz, Lawrence Paul

AU - Namboothiri, Vishnu S.

AU - Gautham Varma, K.

AU - Yahalom, Asher

AU - Strauss, Yosef

AU - Levitan, Jacob

PY - 2021/6

Y1 - 2021/6

N2 - The Raychaudhuri equation is derived by assuming geometric flow in space–time M of n + 1 dimensions. The equation turns into a harmonic oscillator form under suitable transforma-tions. Thereby, a relation between geometrical entropy and mean geodesic deviation is established. This has a connection to chaos theory where the trajectories diverge exponentially. We discuss its application to cosmology and black holes. Thus, we establish a connection between chaos theory and general relativity.

AB - The Raychaudhuri equation is derived by assuming geometric flow in space–time M of n + 1 dimensions. The equation turns into a harmonic oscillator form under suitable transforma-tions. Thereby, a relation between geometrical entropy and mean geodesic deviation is established. This has a connection to chaos theory where the trajectories diverge exponentially. We discuss its application to cosmology and black holes. Thus, we establish a connection between chaos theory and general relativity.

KW - Chaos theory

KW - Geometrical entropy

KW - Geometrical flow

KW - Kaluza Klein cosmology

KW - Kaluza Klein theory

KW - Raychaudhuri equation

KW - Riccati equation

UR - http://www.scopus.com/inward/record.url?scp=85107873192&partnerID=8YFLogxK

U2 - 10.3390/sym13060957

DO - 10.3390/sym13060957

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

AN - SCOPUS:85107873192

SN - 2073-8994

VL - 13

JO - Symmetry

JF - Symmetry

IS - 6

M1 - 957

ER -

Raychaudhuri equation, geometrical flows and geometrical entropy

תקציר

גישה למסמך

קבצים וקישורים אחרים

טביעת אצבע

פורמט ציטוט ביבליוגרפי