Your browser does not fully support modern features. Please upgrade for a smoother experience.
Submitted Successfully!
Thank you for your contribution! You can also upload a video entry or images related to this topic. For video creation, please contact our Academic Video Service.
Version Summary Created by Modification Content Size Created at Operation
1 handwiki Dean Liu -- 3127 2022-12-01 01:45:42

Video Upload Options

We provide professional Academic Video Service to translate complex research into visually appealing presentations. Would you like to try it?
No, upload directly Yes
Cite
If you have any further questions, please contact Encyclopedia Editorial Office.
HandWiki. Introduction to the Mathematics of General Relativity. Encyclopedia. Available online: https://encyclopedia.pub/entry/37477 (accessed on 15 September 2026).
HandWiki. Introduction to the Mathematics of General Relativity. Encyclopedia. Available at: https://encyclopedia.pub/entry/37477. Accessed September 15, 2026.
HandWiki. "Introduction to the Mathematics of General Relativity" Encyclopedia, https://encyclopedia.pub/entry/37477 (accessed September 15, 2026).
HandWiki. (2022, December 01). Introduction to the Mathematics of General Relativity. In Encyclopedia. https://encyclopedia.pub/entry/37477
HandWiki. "Introduction to the Mathematics of General Relativity." Encyclopedia. Web. 01 December, 2022.
Introduction to the Mathematics of General Relativity
Edit
The content is sourced from: https://handwiki.org/wiki/Introduction_to_the_mathematics_of_general_relativity

The mathematics of general relativity is complex. In Newton's theories of motion, an object's length and the rate at which time passes remain constant while the object accelerates, meaning that many problems in Newtonian mechanics may be solved by algebra alone. In relativity, however, an object's length and the rate at which time passes both change appreciably as the object's speed approaches the speed of light, meaning that more variables and more complicated mathematics are required to calculate the object's motion. As a result, relativity requires the use of concepts such as vectors, tensors, pseudotensors and curvilinear coordinates. For an introduction based on the example of particles following circular orbits about a large mass, nonrelativistic and relativistic treatments are given in, respectively, Newtonian motivations for general relativity and Theoretical motivation for general relativity.

general relativity circular orbits relativity

References

  1. Ivanov 2001
  2. Heinbockel 2001
  3. From Latin vectus, perfect participle of vehere, "to carry". For historical development of the word vector, see vector n. (3rd ed.), Oxford University Press, September 2005, http://oed.com/search?searchType=dictionary&q=vector+%27%27n.%27%27  (Subscription or UK public library membership required.) and Jeff Miller. "Earliest Known Uses of Some of the Words of Mathematics". http://jeff560.tripod.com/v.html. 
  4. This characterization is not universal: both the arcs between two points of a great circle on a sphere are geodesics.
  5. Berry, Michael V. (1989). Principles of Cosmology and Gravitation. CRC Press. p. 58. ISBN 0-85274-037-9. https://books.google.com/books?id=wTvFxXguod0C&pg=PA58. 
  6. Einstein, Albert (1916). "The Foundation of the General Theory of Relativity" (PDF). Annalen der Physik 354 (7): 769. doi:10.1002/andp.19163540702. Bibcode: 1916AnP...354..769E. http://www.alberteinstein.info/gallery/gtext3.html. 
  7. Einstein, Albert (November 25, 1915). "Die Feldgleichungen der Gravitation". Sitzungsberichte der Preussischen Akademie der Wissenschaften zu Berlin: 844–847. http://nausikaa2.mpiwg-berlin.mpg.de/cgi-bin/toc/toc.x.cgi?dir=6E3MAXK4&step=thumb. Retrieved 2006-09-12. 
  8. Gravitation. San Francisco: W. H. Freeman. 1973. ISBN 978-0-7167-0344-0.  Chapter 34, p 916
More
©Text is available under the terms and conditions of the Creative Commons-Attribution ShareAlike (CC BY-SA) license; additional terms may apply. By using this site, you agree to the Terms and Conditions and Privacy Policy.
Upload a video for this entry
Information
Subjects: Physics, Applied
Contributor MDPI registered users' name will be linked to their SciProfiles pages. To register with us, please refer to https://encyclopedia.pub/register :
HandWiki
View Times: 2.2K
Entry Collection: HandWiki
Revision: 1 time (View History)
Update Date: 01 Dec 2022
Table of Contents
    Notice
    You are not a member of the advisory board for this topic. If you want to update advisory board member profile, please contact office@encyclopedia.pub.
    OK
    Confirm
    Only members of the Encyclopedia advisory board for this topic are allowed to note entries. Would you like to become an advisory board member of the Encyclopedia?
    Yes
    No
    ${ textCharacter }/${ maxCharacter }
    Submit
    Cancel
    There is no comment~
    ${ textCharacter }/${ maxCharacter }
    Submit
    Cancel
    ${ selectedItem.replyTextCharacter }/${ selectedItem.replyMaxCharacter }
    Submit
    Cancel
    Confirm
    Are you sure to Delete?
    Yes No
    Academic Video Service
    Feedback