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MODIFICATION TO EINSTEIN'S FIELD EQUATIONS IMPOSED BY STRING THEORY AND CONSEQUENCES FOR THE CLASSICAL TESTS OF GENERAL RELATIVITY
 Date Issued:
 2013
 Abstract/Description:
 String theory imposes slight modifications to Einstein's equations of general relativity. In Green, Schwarz, and Witten's classic text, the authors claim that the gravitational field equations in empty space should contain, in addition to the Ricci tensor, an extra term which is first order in the string constant alphaprime and proportional to the Riemann curvature tensor squared. They do admit, however, that this simple modification is just schematic. We show that these modified equations do not admit an isotropic solution. We then investigate the consequences of the modified gravitational equations when they are coupled to the dilaton field. Callan, Myers, and Perry have found a static isotropic solution to these equations. We calculate the additional perihelion precession of Mercury, the added deflection of photons by the sun, and the extra gravitational redshift which should be present if these equations hold. We determine that additional effects due to string theory in each of these cases are quite minuscule.
Title:  MODIFICATION TO EINSTEIN'S FIELD EQUATIONS IMPOSED BY STRING THEORY AND CONSEQUENCES FOR THE CLASSICAL TESTS OF GENERAL RELATIVITY. 
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Name(s): 
Frye, Christopher, Author Efthimiou, Costas, Committee Chair University of Central Florida, Degree Grantor 

Type of Resource:  text  
Date Issued:  2013  
Publisher:  University of Central Florida  
Language(s):  English  
Abstract/Description:  String theory imposes slight modifications to Einstein's equations of general relativity. In Green, Schwarz, and Witten's classic text, the authors claim that the gravitational field equations in empty space should contain, in addition to the Ricci tensor, an extra term which is first order in the string constant alphaprime and proportional to the Riemann curvature tensor squared. They do admit, however, that this simple modification is just schematic. We show that these modified equations do not admit an isotropic solution. We then investigate the consequences of the modified gravitational equations when they are coupled to the dilaton field. Callan, Myers, and Perry have found a static isotropic solution to these equations. We calculate the additional perihelion precession of Mercury, the added deflection of photons by the sun, and the extra gravitational redshift which should be present if these equations hold. We determine that additional effects due to string theory in each of these cases are quite minuscule.  
Identifier:  CFH0004411 (IID), ucf:45087 (fedora)  
Note(s): 
20130501 B.S. Sciences, Dept. of Physics Bachelors This record was generated from author submitted information. 

Subject(s): 
general relativity string theory classical tests precession perihelion modified gravity 

Persistent Link to This Record:  http://purl.flvc.org/ucf/fd/CFH0004411  
Restrictions on Access:  public 20130401  
Host Institution:  UCF 