Post-Newtonian dynamics and black hole thermodynamics in Einstein-scalar-Gauss-Bonnet gravity. (arXiv:1909.05258v1 [gr-qc])

<a href="http://arxiv.org/find/gr-qc/1/au:+Julie_F/0/1/0/all/0/1">Félix-Louis Julié</a>, <a href="http://arxiv.org/find/gr-qc/1/au:+Berti_E/0/1/0/all/0/1">Emanuele Berti</a>

We study the post-Newtonian dynamics of black hole binaries in

Einstein-scalar-Gauss-Bonnet gravity theories. To this aim we build static,

spherically symmetric black hole solutions at fourth order in the Gauss-Bonnet

coupling $alpha$. We then “skeletonize” these solutions by reducing them to

point particles with scalar field-dependent masses, showing that this procedure

amounts to fixing the Wald entropy of the black holes during their slow

inspiral. The cosmological value of the scalar field plays a crucial role in

the dynamics of the binary. We compute the two-body Lagrangian at first

post-Newtonian order and show that no regularization procedure is needed to

obtain the Gauss-Bonnet contributions to the fields, which are finite. We

illustrate the power of our approach by Pad’e-resumming the so-called

“sensitivities,” which measure the coupling of the skeletonized body to the

scalar field, for some specific theories of interest.

We study the post-Newtonian dynamics of black hole binaries in

Einstein-scalar-Gauss-Bonnet gravity theories. To this aim we build static,

spherically symmetric black hole solutions at fourth order in the Gauss-Bonnet

coupling $alpha$. We then “skeletonize” these solutions by reducing them to

point particles with scalar field-dependent masses, showing that this procedure

amounts to fixing the Wald entropy of the black holes during their slow

inspiral. The cosmological value of the scalar field plays a crucial role in

the dynamics of the binary. We compute the two-body Lagrangian at first

post-Newtonian order and show that no regularization procedure is needed to

obtain the Gauss-Bonnet contributions to the fields, which are finite. We

illustrate the power of our approach by Pad’e-resumming the so-called

“sensitivities,” which measure the coupling of the skeletonized body to the

scalar field, for some specific theories of interest.

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