Lower-dimensional gravity

Y. Verbin

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish
Pages (from-to)7318-7322
Number of pages5
JournalPhysical Review D
Issue number12
StatePublished - 1994

Bibliographical note

Funding Information:
ACKNOWLEDGE~NT This material was also presented at the NORDITA-Landau Seminar on Field Theo~, Moscow, Mav, 1984, and the APS Particle and Fields Meeting, Sante Fe, NM October 1984. This research is supported by the U.S. Department of Energy (D.O.E.) under contract DE-ACO2-76ER03069.


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