FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2070036104> ?p ?o ?g. }

• W2070036104 abstract "When one splits spacetime into space plus time, the Weyl curvature tensor (which equals the Riemann tensor in vacuum) splits into two spatial, symmetric, traceless tensors: the tidal field $mathcal{E}$, which produces tidal forces, and the frame-drag field $mathcal{B}$, which produces differential frame dragging. In recent papers, we and colleagues have introduced ways to visualize these two fields: tidal tendex lines (integral curves of the three eigenvector fields of $mathcal{E}$) and their tendicities (eigenvalues of these eigenvector fields); and the corresponding entities for the frame-drag field: frame-drag vortex lines and their vorticities. These entities fully characterize the vacuum Riemann tensor. In this paper, we compute and depict the tendex and vortex lines, and their tendicities and vorticities, outside the horizons of stationary (Schwarzschild and Kerr) black holes; and we introduce and depict the black holes' horizon tendicity and vorticity (the normal-normal components of $mathcal{E}$ and $mathcal{B}$ on the horizon). For Schwarzschild and Kerr black holes, the horizon tendicity is proportional to the horizon's intrinsic scalar curvature, and the horizon vorticity is proportional to an extrinsic scalar curvature. We show that, for horizon-penetrating time slices, all these entities ($mathcal{E}$, $mathcal{B}$, the tendex lines and vortex lines, the lines' tendicities and vorticities, and the horizon tendicities and vorticities) are affected only weakly by changes of slicing and changes of spatial coordinates, within those slicing and coordinate choices that are commonly used for black holes. We also explore how the tendex and vortex lines change as the spin of a black hole is increased, and we find, for example, that as a black hole is spun up through a dimensionless spin $a/M=sqrt{3}/2$, the horizon tendicity at its poles changes sign, and an observer hovering or falling inward there switches from being stretched radially to being squeezed. At this spin, the tendex lines that stick out from the horizon's poles switch from reaching radially outward toward infinity to emerging from one pole, swinging poloidally around the hole and descending into the other pole." @default.
• W2070036104 created "2016-06-24" @default.
• W2070036104 creator A5003674501 @default.
• W2070036104 creator A5008651176 @default.
• W2070036104 creator A5012936916 @default.
• W2070036104 creator A5025299215 @default.
• W2070036104 creator A5033035704 @default.
• W2070036104 creator A5064280165 @default.
• W2070036104 creator A5075825074 @default.
• W2070036104 creator A5086962200 @default.
• W2070036104 date "2012-10-26" @default.
• W2070036104 modified "2023-09-26" @default.
• W2070036104 title "Visualizing spacetime curvature via frame-drag vortexes and tidal tendexes. II. Stationary black holes" @default.
• W2070036104 cites W1953478438 @default.
• W2070036104 cites W1964216511 @default.
• W2070036104 cites W1970662820 @default.
• W2070036104 cites W1977761638 @default.
• W2070036104 cites W1992329696 @default.
• W2070036104 cites W1994472084 @default.
• W2070036104 cites W2001988402 @default.
• W2070036104 cites W2009034510 @default.
• W2070036104 cites W2033517606 @default.
• W2070036104 cites W2042786061 @default.
• W2070036104 cites W2048680399 @default.
• W2070036104 cites W2055471872 @default.
• W2070036104 cites W2063806773 @default.
• W2070036104 cites W2073862476 @default.
• W2070036104 cites W2080879743 @default.
• W2070036104 cites W2085198580 @default.
• W2070036104 cites W2085786339 @default.
• W2070036104 cites W2091332929 @default.
• W2070036104 cites W2135184497 @default.
• W2070036104 cites W2139496359 @default.
• W2070036104 cites W2143000295 @default.
• W2070036104 cites W2143466821 @default.
• W2070036104 cites W2143927221 @default.
• W2070036104 cites W2147257465 @default.
• W2070036104 cites W2147321002 @default.
• W2070036104 cites W2153344483 @default.
• W2070036104 cites W2164477506 @default.
• W2070036104 cites W3099647270 @default.
• W2070036104 cites W3100627752 @default.
• W2070036104 cites W3104106452 @default.
• W2070036104 doi "https://doi.org/10.1103/physrevd.86.084049" @default.
• W2070036104 hasPublicationYear "2012" @default.
• W2070036104 type Work @default.
• W2070036104 sameAs 2070036104 @default.
• W2070036104 citedByCount "24" @default.
• W2070036104 countsByYear W20700361042012 @default.
• W2070036104 countsByYear W20700361042013 @default.
• W2070036104 countsByYear W20700361042015 @default.
• W2070036104 countsByYear W20700361042016 @default.
• W2070036104 countsByYear W20700361042017 @default.
• W2070036104 countsByYear W20700361042018 @default.
• W2070036104 countsByYear W20700361042019 @default.
• W2070036104 countsByYear W20700361042020 @default.
• W2070036104 countsByYear W20700361042021 @default.
• W2070036104 countsByYear W20700361042022 @default.
• W2070036104 crossrefType "journal-article" @default.
• W2070036104 hasAuthorship W2070036104A5003674501 @default.
• W2070036104 hasAuthorship W2070036104A5008651176 @default.
• W2070036104 hasAuthorship W2070036104A5012936916 @default.
• W2070036104 hasAuthorship W2070036104A5025299215 @default.
• W2070036104 hasAuthorship W2070036104A5033035704 @default.
• W2070036104 hasAuthorship W2070036104A5064280165 @default.
• W2070036104 hasAuthorship W2070036104A5075825074 @default.
• W2070036104 hasAuthorship W2070036104A5086962200 @default.
• W2070036104 hasBestOaLocation W20700361041 @default.
• W2070036104 hasConcept C104954878 @default.
• W2070036104 hasConcept C115304011 @default.
• W2070036104 hasConcept C121332964 @default.
• W2070036104 hasConcept C1276947 @default.
• W2070036104 hasConcept C130187892 @default.
• W2070036104 hasConcept C140820882 @default.
• W2070036104 hasConcept C159176650 @default.
• W2070036104 hasConcept C195065555 @default.
• W2070036104 hasConcept C200114574 @default.
• W2070036104 hasConcept C2524010 @default.
• W2070036104 hasConcept C31258907 @default.
• W2070036104 hasConcept C33923547 @default.
• W2070036104 hasConcept C37914503 @default.
• W2070036104 hasConcept C41008148 @default.
• W2070036104 hasConcept C50341732 @default.
• W2070036104 hasConcept C57879066 @default.
• W2070036104 hasConcept C62520636 @default.
• W2070036104 hasConcept C74172769 @default.
• W2070036104 hasConcept C74650414 @default.
• W2070036104 hasConcept C89305328 @default.
• W2070036104 hasConceptScore W2070036104C104954878 @default.
• W2070036104 hasConceptScore W2070036104C115304011 @default.
• W2070036104 hasConceptScore W2070036104C121332964 @default.
• W2070036104 hasConceptScore W2070036104C1276947 @default.
• W2070036104 hasConceptScore W2070036104C130187892 @default.
• W2070036104 hasConceptScore W2070036104C140820882 @default.
• W2070036104 hasConceptScore W2070036104C159176650 @default.
• W2070036104 hasConceptScore W2070036104C195065555 @default.
• W2070036104 hasConceptScore W2070036104C200114574 @default.
• W2070036104 hasConceptScore W2070036104C2524010 @default.
• W2070036104 hasConceptScore W2070036104C31258907 @default.
• W2070036104 hasConceptScore W2070036104C33923547 @default.

• next