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Mathematics course of the University of Cambridge

Past exam of the mathematics course of the University of Cambridge

2008

Paper 66

|| <Spacetime>
|| <Extendible>
|| <Geodesically complete>
|| <Globally hyperbolic>
|| <Asymptotically simple>

| <Schwarzschild spacetime>, exterior $r>2M$
| Yes
| No
| Yes
| No

| <Kruskal spacetime>
| No
| No
| Yes
| No

| Maximal analytic extension of extremal <Reissner-Nordstrom spacetime>
| No
| No
| No
| No

| <Rindler spacetime>
| Yes
| No
| Yes
| No

| <Einstein static universe>
| No
| Yes
| Yes
| No

Solution

Past exam of the mathematics course of the University of Cambridge / 2008 / iii / Paper 66 / 1 / a / Solution

Past exam of the mathematics course of the University of Cambridge / 2008 / iii / Paper 66 / 1 / a / Solution

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Spacetime	Extendible	Geodesically complete	Globally hyperbolic	Asymptotically simple
Schwarzschild spacetime, exterior $r > 2 M$	Yes	No	Yes	No
Kruskal spacetime	No	No	Yes	No
Maximal analytic extension of extremal Reissner-Nordstrom spacetime	No	No	No	No
Rindler spacetime	Yes	No	Yes	No
Einstein static universe	No	Yes	Yes	No

Past exam of the mathematics course of the University of Cambridge / 2008 / iii / Paper 66 / 1 / a / Solution

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