TY - JOUR
T1 - Dynamical aspects of asymmetric Eddington gravity with scalar fields
AU - Azri, Hemza
AU - Nasri, Salah
N1 - Funding Information:
This work is supported by the United Arab Emirates University under UPAR Grant No. 12S004. The authors are thankful to Durmuş Demir and Gonzalo Olmo for discussing Eddington gravity.
Publisher Copyright:
© 2021 American Physical Society.
PY - 2021/9/15
Y1 - 2021/9/15
N2 - In Eddington gravity, the action principle involves only the symmetric parts of the connection and the Ricci tensor, with a metric that emerges proportionally to the latter. Here, we relax this symmetric character, prolong the action with the antisymmetric parts of the Ricci term, and allow for various couplings with scalar fields. We propose two possible invariant actions formed by distinct combinations of the independent Ricci tensors and show that the generated metric must involve an additional antisymmetric part due to the relaxation of the symmetrization property. The comprehensive study shows that the second curvature influences the dynamics of the connection, hence its solution in terms of the metric, and the evolution of the scalar fields. These new dynamical features are expected to stand viable and to have interesting implications in domains where scalar fields are indispensable.
AB - In Eddington gravity, the action principle involves only the symmetric parts of the connection and the Ricci tensor, with a metric that emerges proportionally to the latter. Here, we relax this symmetric character, prolong the action with the antisymmetric parts of the Ricci term, and allow for various couplings with scalar fields. We propose two possible invariant actions formed by distinct combinations of the independent Ricci tensors and show that the generated metric must involve an additional antisymmetric part due to the relaxation of the symmetrization property. The comprehensive study shows that the second curvature influences the dynamics of the connection, hence its solution in terms of the metric, and the evolution of the scalar fields. These new dynamical features are expected to stand viable and to have interesting implications in domains where scalar fields are indispensable.
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U2 - 10.1103/PhysRevD.104.064028
DO - 10.1103/PhysRevD.104.064028
M3 - Article
AN - SCOPUS:85114860466
SN - 2470-0010
VL - 104
JO - Physical Review D
JF - Physical Review D
IS - 6
M1 - 064028
ER -