scholarly journals Komar integrals for theories of higher order in the Riemann curvature and black-hole chemistry

2021 ◽  
Vol 2021 (8) ◽  
Author(s):  
Tomás Ortín

Abstract We construct Komar-type integrals for theories of gravity of higher order in the Riemann curvature coupled to simple kinds of matter (scalar and vector fields) and we use them to compute Smarr formulae for black-hole solutions in those theories. The equivalence between f (R) and Brans-Dicke theories is used to argue that the dimensionful parameters that appear in scalar potentials must be interpreted as thermodynamical variables (pressures) and we give a general expression for their conjugate potentials (volumes).

2010 ◽  
Vol 25 (10) ◽  
pp. 835-842 ◽  
Author(s):  
F. RAHAMAN ◽  
MUBASHER JAMIL ◽  
A. GHOSH ◽  
K. CHAKRABORTY

In this paper, we have presented an algorithm to generate various black hole solutions in general relativity and alternative theories of gravity. The algorithm involves few dimensional parameters that are assigned suitable values to specify the required black hole.


Author(s):  
Jose Luis Blázquez-Salcedo ◽  
Burkhard Kleihaus ◽  
Jutta Kunz

AbstractBlack holes represent outstanding astrophysical laboratories to test the strong gravity regime, since alternative theories of gravity may predict black hole solutions whose properties may differ distinctly from those of general relativity. When higher curvature terms are included in the gravitational action as, for instance, in the form of the Gauss–Bonnet term coupled to a scalar field, scalarized black holes result. Here we discuss several types of scalarized black holes and some of their properties.


1998 ◽  
Vol 429 (3-4) ◽  
pp. 289-296 ◽  
Author(s):  
Klaus Behrndt ◽  
Gabriel Lopes Cardoso ◽  
Bernard de Wit ◽  
Dieter Lüst ◽  
Thomas Mohaupt ◽  
...  

2003 ◽  
Vol 561 (1-2) ◽  
pp. 161-173 ◽  
Author(s):  
Yves Brihaye ◽  
A. Chakrabarti ◽  
Betti Hartmann ◽  
D.H. Tchrakian

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