title: ÐÐ»Ð¸ÑÐ½Ð¸Ðµ ÑÑÑÐµÐºÑÐ¾Ð² ÐÐ¢Ð Ð½Ð° Ð¼Ð¾Ð¼ÐµÐ½Ñ Ð¸Ð½ÐµÑÑÐ¸Ð¸ Ð²Ð½ÐµÑÐ½ÐµÐ³Ð¾ Ð¼Ð°Ð³Ð½Ð¸ÑÐ½Ð¾Ð³Ð¾ Ð¿Ð¾Ð»Ñ Ð½ÐµÐ¹ÑÑÐ¾Ð½Ð½Ð¾Ð¹ Ð·Ð²ÐµÐ·Ð´Ñ
title: Ð²ÑÐ¿ÑÑÐºÐ½Ð°Ñ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð±Ð°ÐºÐ°Ð»Ð°Ð²ÑÐ°
titleType: Subtitle
title: Influence of the general relativity effects on the moment of inertia of the external magnetic field of a neutron star
Creators: name: ÐÐ°ÑÐµÐ²Ð¾ÑÑÐ½, ÐÑÐ°Ð¼
Publisher: name: Ð¡Ð°Ð½ÐºÑ-ÐÐµÑÐµÑÐ±ÑÑÐ³ÑÐºÐ¸Ð¹ Ð¿Ð¾Ð»Ð¸ÑÐµÑÐ½Ð¸ÑÐµÑÐºÐ¸Ð¹ ÑÐ½Ð¸Ð²ÐµÑÑÐ¸ÑÐµÑ ÐÐµÑÑÐ° ÐÐµÐ»Ð¸ÐºÐ¾Ð³Ð¾
Year: 2022
Subjects: ÐÐ¢Ð
Ð½ÐµÐ¹ÑÑÐ¾Ð½Ð½Ð°Ñ Ð·Ð²ÐµÐ·Ð´Ð°
Ð¼Ð°Ð³Ð½Ð¸ÑÐ½Ð¾Ðµ Ð¿Ð¾Ð»Ðµ
general relativity
neutron star
magnetic field

description: Ð¢ÐµÐ¼Ð° Ð²ÑÐ¿ÑÑÐºÐ½Ð¾Ð¹ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð¾Ð¹ ÑÐ°Ð±Ð¾ÑÑ: Â«ÐÐ»Ð¸ÑÐ½Ð¸Ðµ ÑÑÑÐµÐºÑÐ¾Ð² ÐÐ¢Ð Ð½Ð° Ð¼Ð¾Ð¼ÐµÐ½Ñ Ð¸Ð½ÐµÑÑÐ¸Ð¸ Ð²Ð½ÐµÑÐ½ÐµÐ³Ð¾ Ð¼Ð°Ð³Ð½Ð¸ÑÐ½Ð¾Ð³Ð¾ Ð¿Ð¾Ð»Ñ Ð½ÐµÐ¹ÑÑÐ¾Ð½Ð½Ð¾Ð¹ Ð·Ð²ÐµÐ·Ð´ÑÂ». Ð ÑÐ°Ð±Ð¾ÑÐµ ÑÐ°ÑÑÐ¼Ð°ÑÑÐ¸Ð²Ð°ÐµÑÑÑ Ð²Ð»Ð¸ÑÐ½Ð¸Ðµ Ð´ÐµÑÐ¾ÑÐ¼Ð°ÑÐ¸Ð¸ Ð¼Ð°Ð³Ð½Ð¸ÑÐ½Ð¾Ð³Ð¾ Ð¿Ð¾Ð»Ñ Ð½ÐµÐ¹ÑÑÐ¾Ð½Ð½Ð¾Ð¹ Ð·Ð²ÐµÐ·Ð´Ñ Ð¸Ð·-Ð·Ð° Ð¸ÑÐºÑÐ¸Ð²Ð»ÐµÐ½Ð¸Ñ Ð¿ÑÐ¾ÑÑÑÐ°Ð½ÑÑÐ²Ð° Ð² Ð¼ÐµÑÑÐ¸ÐºÐµ Ð¨Ð²Ð°ÑÑÑÐ¸Ð»ÑÐ´Ð° Ð½Ð° Ð²ÐºÐ»Ð°Ð´ Ð¼Ð°Ð³Ð½Ð¸ÑÐ½Ð¾Ð³Ð¾ Ð¿Ð¾Ð»Ñ Ð²Ð½Ðµ Ð·Ð²ÐµÐ·Ð´Ñ Ð² ÐµÑ Ð¼Ð¾Ð¼ÐµÐ½Ñ Ð¸Ð½ÐµÑÑÐ¸Ð¸ ("Ð°Ð½Ð¾Ð¼Ð°Ð»ÑÐ½ÑÐ¹ ÑÐ¾ÑÐ¼Ð¾Ð·ÑÑÐ¸Ð¹ Ð¼Ð¾Ð¼ÐµÐ½Ñ"). Ð Ð°ÑÑÐ¼Ð¾ÑÑÐµÐ½Ð° Ð·Ð°Ð²Ð¸ÑÐ¸Ð¼Ð¾ÑÑÑ ÑÑÐ¾Ð³Ð¾ Ð²ÐºÐ»Ð°Ð´Ð° ÐºÐ°Ðº Ð¾Ñ Ð¾ÑÐ½Ð¾ÑÐµÐ½Ð¸Ñ rg/rns Ð¿ÑÐ¸ ÑÐ¸ÐºÑÐ¸ÑÐ¾Ð²Ð°Ð½Ð½Ð¾Ð¼ Ð¿Ð°ÑÐ°Ð¼ÐµÑÑÐµ Ð¼ÑÐ»ÑÑÐ¸Ð¿Ð¾Ð»ÑÐ½Ð¾ÑÑÐ¸ l, Ð³Ð´Ðµ rns â ÑÐ°Ð´Ð¸ÑÑ Ð·Ð²ÐµÐ·Ð´Ñ, Ð° rg â ÐµÑ Ð³ÑÐ°Ð²Ð¸ÑÐ°ÑÐ¸Ð¾Ð½Ð½ÑÐ¹ ÑÐ°Ð´Ð¸ÑÑ, Ð¸ ÑÐ°Ðº Ð·Ð°Ð²Ð¸ÑÐ¸Ð¼Ð¾ÑÑÑ ÑÑÐ¾Ð³Ð¾ Ð²ÐºÐ»Ð°Ð´Ð° Ð¾Ñ Ð¿Ð°ÑÐ°Ð¼ÐµÑÑÐ° Ð¼ÑÐ»ÑÑÐ¸Ð¿Ð¾Ð»ÑÐ½Ð¾ÑÑÐ¸ l Ð¿ÑÐ¸ ÑÐ¸ÐºÑÐ¸ÑÐ¾Ð²Ð°Ð½Ð½Ð¾Ð¼ Ð¾ÑÐ½Ð¾ÑÐµÐ½Ð¸Ð¸ rg/rns. ÐÐ¾ÐºÐ°Ð·Ð°Ð½Ð¾, ÑÑÐ¾ ÑÑÐµÑ Ð´ÐµÑÐ¾ÑÐ¼Ð°ÑÐ¸Ð¸ Ð¼Ð°Ð³Ð½Ð¸ÑÐ½Ð¾Ð³Ð¾ Ð¿Ð¾Ð»Ñ Ð¸Ð·-Ð·Ð° Ð¸ÑÐºÑÐ¸Ð²Ð»ÐµÐ½Ð¸Ñ Ð¿ÑÐ¾ÑÑÑÐ°Ð½ÑÑÐ²Ð° Ð² Ð¼ÐµÑÑÐ¸ÐºÐµ Ð¨Ð²Ð°ÑÑÑÐ¸Ð»ÑÐ´Ð° Ð´Ð»Ñ Ð²ÑÑÐ¾ÐºÐ¸Ñ Ð¼ÑÐ»ÑÑÐ¸Ð¿Ð¾Ð»ÑÐ½Ð¾ÑÑÐµÐ¹ l â¼ 10 â 20 Ð¼Ð¾Ð¶ÐµÑ ÑÐ²ÐµÐ»Ð¸ÑÐ¸Ð²Ð°ÑÑ ÑÑÐ¾Ñ Ð²ÐºÐ»Ð°Ð´ Ð² 102 â 108 ÑÐ°Ð· Ð¿ÑÐ¸ ÑÐ¸ÐºÑÐ¸ÑÐ¾Ð²Ð°Ð½Ð½Ð¾Ð¼ Ð·Ð½Ð°ÑÐµÐ½Ð¸Ð¸ Ð¼ÑÐ»ÑÑÐ¸Ð¿Ð¾Ð»ÑÐ½Ð¾Ð³Ð¾ Ð¼Ð°Ð³Ð½Ð¸ÑÐ½Ð¾Ð³Ð¾ Ð¼Ð¾Ð¼ÐµÐ½ÑÐ° Ð½Ð° Ð±ÐµÑÐºÐ¾Ð½ÐµÑÐ½Ð¾ÑÑÐ¸. ÐÐ´Ð½Ð°ÐºÐ¾, ÐµÑÐ»Ð¸ ÑÐ°ÑÑÐ¼Ð°ÑÑÐ¸Ð²Ð°ÑÑ ÑÑÐ¾Ñ Ð²ÐºÐ»Ð°Ð´ Ð¿ÑÐ¸ ÑÐ¸ÐºÑÐ¸ÑÐ¾Ð²Ð°Ð½Ð½Ð¾Ð¼ Ð·Ð½Ð°ÑÐµÐ½Ð¸Ð¸ Ð¼Ð°Ð³Ð½Ð¸ÑÐ½Ð¾Ð³Ð¾ Ð¿Ð¾Ð»Ñ Ð½Ð° Ð¿Ð¾Ð²ÐµÑÑÐ½Ð¾ÑÑÐ¸ Ð½ÐµÐ¹ÑÑÐ¾Ð½Ð½Ð¾Ð¹ Ð·Ð²ÐµÐ·Ð´Ñ ÑÑÐµÑ Ð´ÐµÑÐ¾ÑÐ¼Ð°ÑÐ¸Ð¸ Ð¼Ð°Ð³Ð½Ð¸ÑÐ½Ð¾Ð³Ð¾ Ð¿Ð¾Ð»Ñ Ð¸Ð·-Ð·Ð° Ð¸ÑÐºÑÐ¸Ð²Ð»ÐµÐ½Ð¸Ñ Ð¿ÑÐ¾ÑÑÑÐ°Ð½ÑÑÐ²Ð° Ð² Ð¼ÐµÑÑÐ¸ÐºÐµ Ð¨Ð²Ð°ÑÑÑÐ¸Ð»ÑÐ´Ð° Ð¿ÑÐ¸Ð²Ð¾Ð´Ð¸Ñ Ðº ÑÐ²ÐµÐ»Ð¸ÑÐµÐ½Ð¸Ñ Ð²ÐºÐ»Ð°Ð´Ð° Ð²ÑÐµÐ³Ð¾ Ð»Ð¸ÑÑ Ð² 10 ÑÐ°Ð·.
description: The subject of this research is âInfluence of the general relativity effects on the moment of inertia of the external magnetic field of a neutron starâ. The paper considers the effect of the deformation of the magnetic field of a neutron star due to the curvature of space in the Schwarzschild metric on the input of the magnetic field outside the star at its moment of inertia ("anomalous braking moment"). The dependence of the input on the ratioÂ rg/rns with a fixed multipole parameter l is considered, whereÂ rns is the radius of the star, andÂ rg is its gravitational radius, and so the dependence of this input in the multipole parameter l for a fixed ratio rg/rns. It is shown that taking into account the deformation of the magnetic field due to curvature of space in the Schwarzschild metric for high multipoles l â¼ 10â20 can increase this input toÂ 102Â â 108 times at a fixed value of the multipole magnetic moment at infinity. However, if we consider this input at a fixed value of the magnetic field on the surface of a neutron star , taking into account the deformation of the magnetic field due to the curvature of space in the Schwarzschild metric gives an increase in the contribution by only 10 times.