{"id":6667,"date":"2023-07-21T12:45:53","date_gmt":"2023-07-21T03:45:53","guid":{"rendered":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/?page_id=6667"},"modified":"2024-03-27T13:46:21","modified_gmt":"2024-03-27T04:46:21","slug":"%e3%82%b7%e3%83%a5%e3%83%90%e3%83%ab%e3%83%84%e3%82%b7%e3%83%ab%e3%83%88%e6%99%82%e7%a9%ba%e3%81%ae%e5%8e%9f%e7%82%b9%e3%81%ae%e3%81%be%e3%82%8f%e3%82%8a%e3%81%ae%e6%9c%89%e7%95%8c%e3%81%aa%ef%bc%88","status":"publish","type":"page","link":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/%e9%87%8d%e5%8a%9b%e5%a0%b4%e4%b8%ad%e3%81%ae%e3%83%86%e3%82%b9%e3%83%88%e7%b2%92%e5%ad%90%e3%81%ae%e9%81%8b%e5%8b%95\/%e3%82%b7%e3%83%a5%e3%83%90%e3%83%ab%e3%83%84%e3%82%b7%e3%83%ab%e3%83%88%e6%99%82%e7%a9%ba%e3%81%ae%e5%8e%9f%e7%82%b9%e3%81%ae%e3%81%be%e3%82%8f%e3%82%8a%e3%81%ae%e6%9c%89%e7%95%8c%e3%81%aa%ef%bc%88\/","title":{"rendered":"\u30b7\u30e5\u30d0\u30eb\u30c4\u30b7\u30eb\u30c8\u6642\u7a7a\u306e\u539f\u70b9\u306e\u307e\u308f\u308a\u306e\u6709\u754c\u306a\uff08\u675f\u7e1b\uff09\u904b\u52d5"},"content":{"rendered":"<p><!--more--><\/p>\n<h3>\u30b7\u30e5\u30d0\u30eb\u30c4\u30b7\u30eb\u30c8\u6642\u7a7a\u4e2d\u306e\u904b\u52d5\u306e\u304a\u3055\u3089\u3044<\/h3>\n<p>\u8a73\u7d30\u306f\uff0c<\/p>\n<ul>\n<li><a href=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/%e9%87%8d%e5%8a%9b%e5%a0%b4%e4%b8%ad%e3%81%ae%e3%83%86%e3%82%b9%e3%83%88%e7%b2%92%e5%ad%90%e3%81%ae%e9%81%8b%e5%8b%95\/%e3%82%b7%e3%83%a5%e3%83%90%e3%83%ab%e3%83%84%e3%82%b7%e3%83%ab%e3%83%88%e6%99%82%e7%a9%ba%e4%b8%ad%e3%81%ae%e7%b2%92%e5%ad%90%e3%81%ae%e9%81%8b%e5%8b%95\/\">\u30b7\u30e5\u30d0\u30eb\u30c4\u30b7\u30eb\u30c8\u6642\u7a7a\u4e2d\u306e\u7c92\u5b50\uff08\u89b3\u6e2c\u8005\uff09\u306e\u904b\u52d5<\/a><\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<p>\u7dda\u7d20<\/p>\n<p>$$ ds^2 = -\\left(1-\\frac{r_g}{r}\\right)\u00a0 c^2 dt^2 + \\frac{dr^2} {1-\\frac{r_g}{r}} + r^2(d\\theta^2 + \\sin^2\\theta d\\phi^2) $$<\/p>\n<p>\u30c6\u30b9\u30c8\u7c92\u5b50\uff08\u89b3\u6e2c\u8005\uff09\u306e4\u5143\u901f\u5ea6<\/p>\n<p>\\begin{eqnarray}<br \/>\nu^0 &amp;=&amp; \\frac{c\\, dt}{d\\tau} = \\frac{\\epsilon\\,c}{1 &#8211; \\frac{r_g}{r}} \\\\<br \/>\nu^1 &amp;=&amp; \\frac{dr}{d\\tau} \\\\<br \/>\nu^2 &amp;=&amp; \\frac{d\\theta}{d\\tau} = 0, \\quad \\theta = \\frac{\\pi}{2} \\\\<br \/>\nu^3 &amp;=&amp; \\frac{d\\phi}{d\\tau} = \\frac{\\ell}{r^2}<br \/>\n\\end{eqnarray}<\/p>\n<p>$\\epsilon, \\, \\ell$ \u306f\u5b9a\u6570\u3002$u^1$ \u306b\u3064\u3044\u3066\u306f\uff0c4\u5143\u901f\u5ea6\u306e\u898f\u683c\u5316\u6761\u4ef6 $g_{\\mu\\nu} u^{\\mu} u^{\\nu} = -c^2$ \u304b\u3089<\/p>\n<p>$$\\left(\\frac{dr}{d\\tau} \\right)^2 = \\epsilon^2 c^2- \\left(1 &#8211; \\frac{r_g}{r} \\right) \\left( c^2+ \\frac{\\ell^2}{r^2}\\right) \\tag{A}$$<\/p>\n<h4>\u5186\u904b\u52d5\u306e\u5834\u5408<\/h4>\n<p>\u5186\u904b\u52d5 $r = \\mbox{const.}$ \u306e\u5834\u5408\u306f\uff0c\u4ee5\u4e0b\u306e\u30da\u30fc\u30b8\u306b\u307e\u3068\u3081\u3066\u3042\u308b\u3002<\/p>\n<ul>\n<li><a href=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/%e9%87%8d%e5%8a%9b%e5%a0%b4%e4%b8%ad%e3%81%ae%e3%83%86%e3%82%b9%e3%83%88%e7%b2%92%e5%ad%90%e3%81%ae%e9%81%8b%e5%8b%95\/%e5%86%86%e9%81%8b%e5%8b%95\/\">\u30b7\u30e5\u30d0\u30eb\u30c4\u30b7\u30eb\u30c8\u6642\u7a7a\u4e2d\u3092\u5186\u904b\u52d5\u3059\u308b\u89b3\u6e2c\u8005<\/a><\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<p>\u5186\u904b\u52d5\u3059\u308b\u89b3\u6e2c\u8005\u306e4\u5143\u901f\u5ea6<\/p>\n<p>\\begin{eqnarray}<br \/>\n\\bar{u}^0 &amp;=&amp;\u00a0\u00a0 \\frac{\\epsilon\\,c}{1 &#8211; \\frac{r_g}{r}} =\\frac{c}{\\sqrt{1 \u2013 \\frac{3}{2}\\frac{r_g}{r}}}\\\\<br \/>\n\\bar{u}^1 &amp;=&amp;0 \\\\<br \/>\n\\bar{u}^2 &amp;=&amp;\u00a0 0, \\quad \\theta = \\frac{\\pi}{2} \\\\<br \/>\n\\bar{u}^3 &amp;=&amp;\u00a0 \\frac{\\ell}{r^2}=\\frac{1}{r}\\frac{\\sqrt{\\frac{GM}{r}}}{\\sqrt{1 \u2013 \\frac{3}{2}\\frac{r_g}{r}}}<br \/>\n\\end{eqnarray}<\/p>\n<p>\u3064\u307e\u308a\uff0c<\/p>\n<p>\\begin{eqnarray}<br \/>\n\\epsilon &amp;=&amp;\u00a0 \\frac{1 &#8211; \\frac{r_g}{r}}{\\sqrt{1 \u2013 \\frac{3}{2}\\frac{r_g}{r}}} \\\\<br \/>\n\\ell &amp;=&amp;c\u00a0 r \\frac{\\sqrt{\\frac{1}{2}\\frac{r_g}{r}}}{\\sqrt{1 \u2013 \\frac{3}{2}\\frac{r_g}{r}}}<br \/>\n\\end{eqnarray}<\/p>\n<h4>\u5186\u904b\u52d5\u4ee5\u5916\u306e\u4e00\u822c\u7684\u306a\u6709\u754c\u904b\u52d5\u306e\u5834\u5408<\/h4>\n<p>\u4e00\u822c\u306b\uff0c\u30b7\u30e5\u30d0\u30eb\u30c4\u30b7\u30eb\u30c8\u6642\u7a7a\u306e\u539f\u70b9\u306e\u307e\u308f\u308a\u306e\u904b\u52d5\u306f\uff0c\u30cb\u30e5\u30fc\u30c8\u30f3\u529b\u5b66\u306e\u5834\u5408\u3068\u306f\u7570\u306a\u308a\uff0c\u9589\u3058\u305f\u6955\u5186\u8ecc\u9053\u306b\u306f\u306a\u3089\u306a\u3044\u3002\u5f31\u3044\u91cd\u529b\u5834\u306e\u5834\u5408\u306b\u306f $r_g$ \u306e1\u6b21\u7a0b\u5ea6\u307e\u3067\u306e\u8fd1\u4f3c\u89e3\u304c\u77e5\u3089\u308c\u3066\u3044\u3066\uff0c\u4ee5\u4e0b\u306b\u307e\u3068\u3081\u3066\u3044\u308b\u3002<\/p>\n<ul>\n<li><a href=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/%e9%87%8d%e5%8a%9b%e5%a0%b4%e4%b8%ad%e3%81%ae%e3%83%86%e3%82%b9%e3%83%88%e7%b2%92%e5%ad%90%e3%81%ae%e9%81%8b%e5%8b%95\/%e5%bc%b1%e9%87%8d%e5%8a%9b%e5%a0%b4%e4%b8%ad%e3%81%ae%e7%b2%92%e5%ad%90%e3%81%ae%e8%bb%8c%e9%81%93%e3%81%ae%e8%bf%91%e4%bc%bc%e8%a7%a3\/\">\u5f31\u91cd\u529b\u5834\u4e2d\u306e\u7c92\u5b50\u306e\u8ecc\u9053\u306e\u8fd1\u4f3c\u89e3<\/a><\/li>\n<\/ul>\n<p>\u8ecc\u9053\u304c\u53b3\u5bc6\u306b\u306f\u89e3\u3051\u306a\u3044\u3068\u3057\u3066\u3082\uff0c\u3057\u304b\u3057\uff0c\u904b\u52d5\u304c\u6709\u754c\u3067\u3042\u308c\u3070 $r$ \u304c\u7121\u9650\u5927\u306b\u306a\u3063\u305f\u308a\u30bc\u30ed\u306b\u306a\u3063\u305f\u308a\u3059\u308b\u3053\u3068\u306a\u304f\uff0c\u539f\u70b9\u306e\u307e\u308f\u308a\u3092\u6709\u9650\u306e\u7bc4\u56f2 $$r_g &lt; r_{\\rm min} \\le r \\le r_{\\rm max}$$ \u3067\u6709\u754c\u306a\u675f\u7e1b\u904b\u52d5\u3092\u3059\u308b\u30cf\u30ba\u3067\u3042\u308b\u3002<\/p>\n<p>$r = r_{\\rm min}$ \u304a\u3088\u3073 $r = r_{\\rm max}$ \u3067\u306f $\\displaystyle \\frac{dr}{d\\tau} = 0$ \u3068\u306a\u308b\u304b\u3089\uff0c$(\\mbox{A})$ \u5f0f\u304b\u3089<\/p>\n<p>\\begin{eqnarray}<br \/>\n0 &amp;=&amp; \\epsilon^2 c^2- \\left(1 &#8211; \\frac{r_g}{r_{\\rm min}} \\right) \\left( c^2+ \\frac{\\ell^2}{r_{\\rm min}^2}\\right) \\tag{1}\\\\<br \/>\n0 &amp;=&amp; \\epsilon^2 c^2- \\left(1 &#8211; \\frac{r_g}{r_{\\rm max}} \\right) \\left( c^2+ \\frac{\\ell^2}{r_{\\rm max}^2}\\right) \\tag{2}<br \/>\n\\end{eqnarray}<\/p>\n<p>$(1), (2)$ \u5f0f\u306f $\\epsilon^2$ \u3068 $\\ell^2$ \u306b\u3064\u3044\u3066\u306e\u9023\u7acb1\u6b21\u65b9\u7a0b\u5f0f\u3067\u3042\u308a\uff0c\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u7c21\u5358\u306b\u89e3\u304f\u3053\u3068\u304c\u3067\u304d\u308b\u3002<\/p>\n<p>\\begin{eqnarray}<br \/>\n\\epsilon^2&amp;=&amp; \\frac{(r_{\\rm min} + r_{\\rm max}) (r_{\\rm min} &#8211; r_g) (r_{\\rm max} &#8211; r_g)}<br \/>\n{r_{\\rm min} r_{\\rm max} (r_{\\rm min} + r_{\\rm max})- (r_{\\rm min}^2 + r_{\\rm min}r_{\\rm max}+r_{\\rm max}^2) r_g}\\\\<br \/>\n\\ell^2&amp;=&amp; \\frac{c^2 r_{\\rm min}^2\u00a0 r_{\\rm max}^2\u00a0 r_g}<br \/>\n{r_{\\rm min} r_{\\rm max} (r_{\\rm min} + r_{\\rm max})- (r_{\\rm min}^2 + r_{\\rm min}r_{\\rm max}+r_{\\rm max}^2) r_g}<br \/>\n\\end{eqnarray}<\/p>\n<p>\u53c2\u8003\u307e\u3067\u306b\uff0c<\/p>\n<p>$$r_{\\rm max} \\equiv a (1+e),\\quad<br \/>\nr_{\\rm min} \\equiv a (1-e)$$<\/p>\n<p>\u3067\u5b9a\u7fa9\u3055\u308c\u308b\u5909\u6570 $a$ \u304a\u3088\u3073 $e$ \u3092\u4f7f\u3063\u3066\u66f8\u304f\u3068<\/p>\n<p>\\begin{eqnarray}<br \/>\n\\epsilon^2&amp;=&amp;\u00a0 \\frac{2a^2(1-e^2) &#8211; 4 a r_g + 2r_g^2}{2a^2(1-e^2) &#8211; a(3+e^2) r_g} \\\\<br \/>\n&amp;=&amp; 1\u00a0 &#8211; \\frac{r_g}{2 a} + \\frac{r_g^2\u00a0 (1-e^2) }{4a^2(1-e^2) &#8211; 2a(3+e^2) r_g} \\\\<br \/>\n\\ell^2&amp;=&amp;c^2\u00a0 \\frac{a^2 (1-e^2)^2 r_g}{2 a (1-e^2) &#8211; (3+e^2) r_g} \\\\<br \/>\n&amp;=&amp; GM a (1-e^2) \\left( 1 + \\frac{(3+e^2) r_g}{2a(1-e^2) &#8211; (3+e^2) r_g}\\right)<br \/>\n\\end{eqnarray}<\/p>\n<h4>\u5186\u8ecc\u9053\u306e\u5834\u5408\u306e\u89e3\u3092\u518d\u73fe<\/h4>\n<p>\u7279\u306b\u5186\u8ecc\u9053\u306e\u5834\u5408\u306f\uff0c$r_{\\rm min} = r_{\\rm max} \\equiv r$ \u3042\u308b\u3044\u306f $e = 0, \\ a \\Rightarrow r$\u00a0 \u3068\u304a\u304f\u3068\uff0c<\/p>\n<p>\\begin{eqnarray}<br \/>\n\\epsilon^2&amp;=&amp;\u00a0 \\frac{2 r (r &#8211; r_g)^2}{r^2 \\cdot 2 r- 3 r^2 r_g}\\\\<br \/>\n&amp;=&amp;\u00a0 \\frac{\\left(1 &#8211; \\frac{r_g}{r}\\right)^2}{1 &#8211; \\frac{3}{2} \\frac{r_g}{r}} \\\\<br \/>\n\\therefore\\ \\ \\epsilon &amp;=&amp; \\frac{1 &#8211; \\frac{r_g}{r}}{\\sqrt{1 &#8211; \\frac{3}{2} \\frac{r_g}{r}} } \\\\<br \/>\n\\ \\\\<br \/>\n\\ell^2&amp;=&amp; c^2 \\frac{r^4\u00a0 r_g}{r^2 \\cdot 2 r- 3 r^2 r_g} \\\\<br \/>\n&amp;=&amp; r^2 \\frac{\\frac{GM}{r}}{1 &#8211; \\frac{3}{2} \\frac{r_g}{r}} \\\\<br \/>\n\\therefore\\ \\ \\ell &amp;=&amp; r \\frac{\\sqrt{ \\frac{GM}{r}}} {\\sqrt{1 &#8211; \\frac{3}{2} \\frac{r_g}{r}}}<br \/>\n\\end{eqnarray}<\/p>\n<p>\u3068\u306a\u308a\uff0c\u5f53\u7136\u306a\u304c\u3089\u300c<a href=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/%e9%87%8d%e5%8a%9b%e5%a0%b4%e4%b8%ad%e3%81%ae%e3%83%86%e3%82%b9%e3%83%88%e7%b2%92%e5%ad%90%e3%81%ae%e9%81%8b%e5%8b%95\/%e5%86%86%e9%81%8b%e5%8b%95\/\">\u30b7\u30e5\u30d0\u30eb\u30c4\u30b7\u30eb\u30c8\u6642\u7a7a\u4e2d\u3092\u5186\u904b\u52d5\u3059\u308b\u89b3\u6e2c\u8005<\/a>\u300d\u306b\u66f8\u304b\u308c\u3066\u3044\u308b\u5185\u5bb9\u3092\u518d\u73fe\u3059\u308b\u3002<\/p>\n<p>\u307e\u305f\uff0c\u3053\u306e\u3068\u304d<\/p>\n<p>\\begin{eqnarray}<br \/>\nu^3 &amp;=&amp; \\frac{d\\phi}{d\\tau} = \\frac{\\ell}{r^2} \\\\<br \/>\n\\therefore\\ \\<br \/>\nr \\frac{d\\phi}{d\\tau}<br \/>\n&amp;=&amp; \\frac{\\ell}{r}<br \/>\n= \\frac{\\sqrt{\\frac{GM}{r}}} {\\sqrt{1 &#8211; \\frac{3}{2} \\frac{r_g}{r}}} \\\\<br \/>\n\\therefore\\ \\ r \\frac{d\\phi}{dt} &amp;=&amp; r \\frac{d\\phi}{d\\tau} \\frac{d\\tau}{dt} \\\\<br \/>\n&amp;=&amp; \\frac{\\ell}{r} \\left( \\frac{dt}{d\\tau}\\right)^{-1} \\\\<br \/>\n&amp;=&amp; \\frac{\\ell}{r} c \\frac{1-\\frac{r_g}{r}}{\\epsilon} \\\\<br \/>\n&amp;=&amp;\\sqrt{\\frac{GM}{r}} \\\\<br \/>\n\\therefore\\ \\ r \\frac{d\\phi}{dt} &amp;=&amp; \\sqrt{\\frac{GM}{r}}<br \/>\n\\end{eqnarray}<\/p>\n<p>\u3053\u306e\u5f0f\u306f\uff08\u5076\u7136\u306b\u3082\uff1f\u3042\u308b\u3044\u306f\u5f53\u7136\u306a\u304c\u3089\uff1f\uff09\u30cb\u30e5\u30fc\u30c8\u30f3\u529b\u5b66\u306b\u304a\u3051\u308b\u5186\u904b\u52d5\u306b\u95a2\u3057\u3066 $\\displaystyle v \\equiv r \\frac{d\\phi}{dt}$ \u3068\u3057\u305f\u3068\u304d\u306e\u9060\u5fc3\u529b $\\displaystyle m \\frac{v^2}{r}$ \u3068\u4e07\u6709\u5f15\u529b $\\displaystyle \\frac{GM m}{r^2}$ \u306e\u3064\u308a\u3042\u3044\u306e\u5f0f<\/p>\n<p>\\begin{eqnarray}<br \/>\nm \\frac{v^2}{r} &amp;=&amp; \\frac{GM m}{r^2} \\\\<br \/>\n\\therefore\\ \\ v &amp;=&amp; \\sqrt{\\frac{GM}{r}}<br \/>\n\\end{eqnarray}<\/p>\n<p>\u3068\u4e00\u81f4\u3057\u3066\u3044\u308b\u3002<\/p>\n<p>\u5186\u8ecc\u9053\u306e\u5834\u5408\u306f\uff0c\u4e00\u822c\u76f8\u5bfe\u8ad6\u7684\u306a\u6e2c\u5730\u7dda\u65b9\u7a0b\u5f0f\u3092\u89e3\u3044\u305f\u7d50\u679c\u3068\u30cb\u30e5\u30fc\u30c8\u30f3\u529b\u5b66\u306e\u7d50\u679c\u304c\u5f62\u306e\u4e0a\u3067\u307e\u3055\u306b\u4e00\u81f4\u3057\u3066\u3044\u308b\u3053\u3068\u304c\u76f4\u63a5\u3042\u304b\u3089\u3055\u307e\u306b\u793a\u3055\u308c\u305f\u3002<\/p>\n<h4>\u4e00\u822c\u76f8\u5bfe\u8ad6\u7684\u306a\u30b1\u30d7\u30e9\u30fc\u306e\u7b2c3\u6cd5\u5247\u3078\u306e\u30d2\u30f3\u30c8<\/h4>\n<p>\u30b7\u30e5\u30d0\u30eb\u30c4\u30b7\u30eb\u30c8\u6642\u7a7a\u4e2d\u306e\u5186\u904b\u52d5\u306b\u5bfe\u3057\u3066\u306f\uff0c\u4e00\u822c\u76f8\u5bfe\u8ad6\u306b\u304a\u3044\u3066\u3082<\/p>\n<p>$$<br \/>\nr \\frac{d\\phi}{dt} = \\sqrt{\\frac{GM}{r}}<br \/>\n$$<\/p>\n<p>\u304c\u53b3\u5bc6\u306b\u6210\u308a\u7acb\u3064\u3053\u3068\u304c\u793a\u3055\u308c\u305f\u3002\u3053\u308c\u306f\uff0c\u4e00\u822c\u76f8\u5bfe\u8ad6\u7684\u306a\u30b1\u30d7\u30e9\u30fc\u306e\u7b2c3\u6cd5\u5247\u3078\u306e\u30d2\u30f3\u30c8\u3068\u306a\u308b\u3002<\/p>\n<p>\u5186\u8ecc\u9053\u306e\u5834\u5408\u306b\u9650\u308c\u3070\uff0c\u3053\u306e\u4e21\u8fba\u30921\u5468\u671f\u7a4d\u5206\u3057\u3066<\/p>\n<p>\\begin{eqnarray}<br \/>\n\\int_0^{2 \\pi} r d\\phi&amp;=&amp;\\int_0^{T} \\sqrt{\\frac{GM}{r}} dt \\\\<br \/>\n\\therefore\\ \\\u00a0 2\\pi r &amp;=&amp; \\sqrt{\\frac{GM}{r}} T \\\\<br \/>\n\\therefore\\ \\ \\frac{r^3}{T^2} &amp;=&amp; \\frac{GM}{4\\pi^2}<br \/>\n\\end{eqnarray}<\/p>\n<p>\u3053\u308c\u306f\u30cb\u30e5\u30fc\u30c8\u30f3\u529b\u5b66\u306b\u304a\u3051\u308b\u30b1\u30d7\u30e9\u30fc\u306e\u7b2c3\u6cd5\u5247\u3068\u5168\u304f\u540c\u3058\u5f62\u306b\u306a\u3063\u3066\u3044\u308b\u3002\u6ce8\u610f\u3059\u3079\u304d\u70b9\u306f\uff0c\u5468\u671f $T$ \u306e\u610f\u5473\u3002\u3053\u3053\u3067\u306f\u5ea7\u6a19\u6642\u9593 $t$ \u3059\u306a\u308f\u3061\u5341\u5206\u9060\u65b9\u306b\u304a\u3051\u308b\uff08\u56fa\u6709\uff09\u6642\u9593\u3067\u6e2c\u3063\u305f\u3068\u304d\u306e\uff0c\u5186\u8ecc\u9053\u30921\u5468\uff08$2\\pi$ \u30e9\u30b8\u30a2\u30f3\uff09\u56de\u308b\u6642\u9593\u3067\u3042\u308b\u3002\u4e00\u822c\u76f8\u5bfe\u8ad6\u3067\u306f\uff0c\u91cd\u529b\u5834\u4e2d\u306e\u6642\u9593\u306e\u9032\u307f\u306f\u5834\u6240\u306b\u3088\u3063\u3066\u7570\u306a\u308b\u3057\uff0c\u307e\u305f\u904b\u52d5\u3059\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u3082\u7570\u306a\u308b\u3053\u3068\u306b\u6ce8\u610f\u3002\u3069\u3046\u3044\u3046\u6642\u9593\u3067\u6e2c\u3063\u305f\u3068\u304d\u306e\u300c\u5468\u671f\u300d\u3067\u3042\u308b\u304b\uff0c\u660e\u8a00\u3059\u308b\u3053\u3068\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":33,"featured_media":0,"parent":85,"menu_order":20,"comment_status":"closed","ping_status":"closed","template":"","meta":{"inline_featured_image":false,"footnotes":""},"class_list":["post-6667","page","type-page","status-publish","hentry","nodate","item-wrap"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/pages\/6667","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/users\/33"}],"replies":[{"embeddable":true,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/comments?post=6667"}],"version-history":[{"count":49,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/pages\/6667\/revisions"}],"predecessor-version":[{"id":8230,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/pages\/6667\/revisions\/8230"}],"up":[{"embeddable":true,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/pages\/85"}],"wp:attachment":[{"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/media?parent=6667"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}