The behavior of spacetime is described by Einstein's equation (i.e. Einstein's field equations) from General Relativity. To understand how elastic it is, we need to delve into the main equation of elasticity, Hooke's law, and see how it compares.
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VIDEO ANNOTATIONS/CARDS
What the HECK is Energy?
https://youtu.be/snj1wBtn6I8
What the HECK is a Tensor?!?
https://youtu.be/bpG3gqDM80w
Tunnel Through The Earth:
https://youtu.be/F0zUOcZN6sI
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OTHER SOURCES
https://ned.ipac.caltech.edu/level5/March01/Carroll3/Carroll4.html
https://www.forbes.com/sites/startswithabang/2018/08/11/ask-ethan-is-spacetime-really-a-fabric/
http://farside.ph.utexas.edu/teaching/em/lectures/node31.html
https://www.studylight.org/encyclopedias/bri/s/simeon-denis-poisson.html
http://www.kchmackenzie.staff.shef.ac.uk/Poisson/Catalogue_Berkeley_0.pdf
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LINKS TO COMMENTS
https://www.youtube.com/watch?v=F0zUOcZN6sI&lc=UgxuL3EKXw7GXS4VNQt4AaABAg
https://www.youtube.com/watch?v=F0zUOcZN6sI&lc=UgwmaDlFVe1cmbSSGC54AaABAg
https://www.youtube.com/watch?v=F0zUOcZN6sI&lc=UgyPX4RTLtMumUhoL9V4AaABAg
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IMAGE CREDITS
Isaac Newton:
https://commons.wikimedia.org/wiki/File:GodfreyKneller-IsaacNewton-1689.jpg
Siméon Poisson:
https://commons.wikimedia.org/wiki/File:Simeon_Poisson.jpg