Abstract
Three-dimensional general relativity has many intriguing properties. Among them is a vanishing Newtonian potential which renders three-dimensional gravity nonattractive. An alternative (scalar-tensor) theory of three-dimensional gravity is obtained by dimensional reduction of four-dimensional general relativity. This theory admits a Newtonian limit and can further incorporate all the non-Newtonian objects such as gauge strings and global strings as well. Coupling with an electromagnetic field in three dimensions is also obtained by dimensional reduction and the result is found to be essentially different from the D=3 Maxwell-Einstein theory. The same approach is taken further in order to obtain a theory of gravity in two dimensions, where general relativity does not exist at all. The result is found to be very similar to two-dimensional dilaton gravity models proposed recently to study the end point of black hole evaporation.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.