تقرير
Smarr Mass formulas for BPS multicenter Black Holes
| العنوان: | Smarr Mass formulas for BPS multicenter Black Holes |
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| المؤلفون: | Torrente-Lujan, E. |
| المصدر: | Physics Letters B Volume 798, 10 November 2019, 135019 |
| سنة النشر: | 2019 |
| المجموعة: | General Relativity and Quantum Cosmology High Energy Physics - Theory |
| مصطلحات موضوعية: | High Energy Physics - Theory, General Relativity and Quantum Cosmology |
| الوصف: | Mass formulas for multicenter BPS 4D black holes are presented. For example, ADM mass for a two center BPS solution can be related to the intercencenter distance $r$, the angular momentum $J^2$, the dyonic charge vectors $q_i$ and the value of the scalar moduli at infinity ($z_\infty$)by $M_{ADM}^2 =A\left (1+ \alpha J^2\left(1+\frac{2M_{ADM}}{r}+\frac{A}{r^2}\right)\right)$ where $A(Q),\alpha(q_i)$ are symplectic invariant quantities ($Q$, the total charge vector) depending on the special geometry prepotential defining the theory. The formula predicts the existence of a continuos class, for fixed value of the charges, of BH's with interdistances $r\in (0,\infty)$ and $M_{ADM}\in (\infty,M_\infty)$. Smarr-like expressions incorporating the intercenter distance are obtained from it: $$ dM\equiv\Omega d J+\Phi_i d q_i+ F dr,$$ in addition to an effective angular velocity $\Omega$ and electromagnetic potentials $\Phi_i$, the equation allows to define an effective "force", $F$, acting between the centers. This effective force is always negative: at infinity we recover the familiar Newton law $F\sim 1/r^2$ while at short distances $F\sim f_0+f_1/r^2$. Similar results can be easily obtained for more general models and number of centers. |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1016/j.physletb.2019.135019 |
| URL الوصول: | http://arxiv.org/abs/1908.11259 |
| رقم الأكسشن: | edsarx.1908.11259 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1016/j.physletb.2019.135019 |
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