diff --git a/build/pkgs/configure/checksums.ini b/build/pkgs/configure/checksums.ini index ca72b9d2a44..f7fdc995bed 100644 --- a/build/pkgs/configure/checksums.ini +++ b/build/pkgs/configure/checksums.ini @@ -1,4 +1,4 @@ tarball=configure-VERSION.tar.gz -sha1=599182ff950764df31446f7bf8350499717dc76e -md5=06e0643f4948ad4b4c87d2530d026a1f -cksum=4286155814 +sha1=b47e06e75c158bc73e9fe4e3279119a784dc90b4 +md5=4b1c735828e334a78bff26c3202521c2 +cksum=4135128361 diff --git a/build/pkgs/configure/package-version.txt b/build/pkgs/configure/package-version.txt index fc1538054bc..a87e9097628 100644 --- a/build/pkgs/configure/package-version.txt +++ b/build/pkgs/configure/package-version.txt @@ -1 +1 @@ -e77b3df44ade2f51f750de90ad255f772a933776 +6d88c0691580fe73960b947cd5c360272147debf diff --git a/src/sage/manifolds/catalog.py b/src/sage/manifolds/catalog.py index bb09ed8885d..91b0997de7b 100644 --- a/src/sage/manifolds/catalog.py +++ b/src/sage/manifolds/catalog.py @@ -127,14 +127,19 @@ def Kerr(m=1, a=0, coordinates="BL", names=None): 4-dimensional Lorentzian manifold M sage: K.atlas() [Chart (M, (t, r, th, ph))] + + The Kerr metric in Boyer-Lindquist coordinates (cf. :wikipedia:`Kerr_metric`):: + sage: K.metric().display() g = (2*m*r/(a^2*cos(th)^2 + r^2) - 1) dt⊗dt - + 2*a*m*r*sin(th)^2/(a^2*cos(th)^2 + r^2) dt⊗dph + - 2*a*m*r*sin(th)^2/(a^2*cos(th)^2 + r^2) dt⊗dph + (a^2*cos(th)^2 + r^2)/(a^2 - 2*m*r + r^2) dr⊗dr + (a^2*cos(th)^2 + r^2) dth⊗dth - + 2*a*m*r*sin(th)^2/(a^2*cos(th)^2 + r^2) dph⊗dt + - 2*a*m*r*sin(th)^2/(a^2*cos(th)^2 + r^2) dph⊗dt + (2*a^2*m*r*sin(th)^2/(a^2*cos(th)^2 + r^2) + a^2 + r^2)*sin(th)^2 dph⊗dph + The Schwarzschild spacetime with the mass parameter set to 1:: + sage: K. = manifolds.Kerr() sage: K 4-dimensional Lorentzian manifold M @@ -144,6 +149,9 @@ def Kerr(m=1, a=0, coordinates="BL", names=None): sage: K.default_chart().coord_range() t: (-oo, +oo); r: (0, +oo); th: (0, pi); ph: [-pi, pi] (periodic) + + The Kerr spacetime in Kerr coordinates:: + sage: m, a = var('m, a') sage: K. = manifolds.Kerr(m, a, coordinates="Kerr") sage: K @@ -205,7 +213,7 @@ def Kerr(m=1, a=0, coordinates="BL", names=None): g[0, 0], g[1, 1], g[2, 2], g[3, 3] = -(1-2*m*r/rho**2), \ rho**2/(r**2-2*m*r+a**2), rho**2, \ (r**2+a**2+2*m*r*a**2/rho**2*sin(th)**2)*sin(th)**2 - g[0, 3] = 2*m*r*a*sin(th)**2/rho**2 + g[0, 3] = -2*m*r*a*sin(th)**2/rho**2 return M raise NotImplementedError("coordinates system not implemented, see help"