Conformal gravity

<p>Conformal gravity refers to gravity theories that are invariant under <a href="/facts/Conformal_map/cEpQnMad">conformal transformations</a> in the <a href="/facts/Riemannian_geometry/pPEzjyQC">Riemannian geometry</a> sense; more accurately, they are invariant under <a href="/facts/Weyl_transformation/ou9XeeEf">Weyl transformations</a> 
  
    
      
        
          g
          
            a
            b
          
        
        →
        
          Ω
          
            2
          
        
        (
        x
        )
        
          g
          
            a
            b
          
        
      
    
    {\displaystyle g_{ab}\rightarrow \Omega ^{2}(x)g_{ab}}
  
 where 
  
    
      
        
          g
          
            a
            b
          
        
      
    
    {\displaystyle g_{ab}}
  
 is the <a href="/facts/Metric_tensor/tbqek1gJ">metric tensor</a> and 
  
    
      
        Ω
        (
        x
        )
      
    
    {\displaystyle \Omega (x)}
  
 is a function on <a href="/facts/Spacetime/uRIN1x4b">spacetime</a>.
</p>

Conformal gravity open-in-new

Conformal gravity