24小时热门版块排行榜    

查看: 250  |  回复: 0

东方天遥

至尊木虫 (著名写手)

[交流] 【交流】The cosmic topology V.S. inflation

The comic topology is the global property of the universe, so it cannot be derived from general relativity. The reason for that is general relativity is a kind of theory which describes the local properties of spacetime. The topology of the universe can only be imposed by hand. There is so-called "small universe", which refers to a kind of spacetime that is obtained by identification. Via identification, the universe gains the non-trivial topology. In this case, even though the spatial curvature of the universe is zero or -1---for the usual Friedmann universe, which correspond to flat or hyperbolic universe, whose volumes are infinite---the volume of the universe is finite!

Let me just explain what Friedmann universe is. In some sense, it is just our universe. We believe that at any time, and at any point, the universe looks the same in any direction. That is to say, the universe is homogeneous and isotropic spatially. But from the observation, we know that the universe is expanding. So temporally, it isn't homogeneous. There are three different kinds of homogeneous, isotropic spaces: closed, flat and open, with spatial curvatures equal to +1, 0, and -1, respectively.

In the case of de Sitter spacetime, one solution of Einstein's equation, the situation is much different. De Sitter spacetime is sort of manifold with a positive 4-curvature constant, that is to say, it is homogeneous and isotropic spatially and temporally. In the old inflationary cosmology, Alen Guth assumed that the expansion of the universe is driven by the false vacuum energy which acts like the cosmological constant. Therefore, the universe undergoes exponential expansion, and the metric of the universe is that of de Sitter spacetime. So the universe is homogeneous and isotropic spatially and temporally. Then we have the right to choose special coordinate to express the its metric in the form of closed, flat or open universe! So, inflation in a de Sitter universe makes no sense.
回复此楼
天行健,君子以自强不息
已阅   回复此楼   关注TA 给TA发消息 送TA红花 TA的回帖

智能机器人

Robot (super robot)

我们都爱小木虫

找到一些相关的精华帖子,希望有用哦~

科研从小木虫开始,人人为我,我为人人
相关版块跳转 我要订阅楼主 东方天遥 的主题更新
普通表情 高级回复 (可上传附件)
最具人气热帖推荐 [查看全部] 作者 回/看 最后发表
[公派出国] 售SCI一区T0P文章,我:8.O.55.1.O.54,科目齐全,可+急 +3 C79jjtjAKjEn 2026-09-15 3/150 2026-09-18 03:42 by cITaGg3p5edr
[考博] 售SCI文章,我:8O.5.5.1O.54,科目全,可十急 +3 C79jjtjAKjEn 2026-09-15 3/150 2026-09-18 03:42 by cITaGg3p5edr
[公派出国] 售SCI文章,我:8O5.5.1.O.54,科目齐全,可+急 +3 vZfe6xYu34yj 2026-09-14 3/150 2026-09-18 02:06 by cITaGg3p5edr
[硕博家园] 售SCI一区文章,我:8.O.551.O.5.4,科目全,可伽急 +5 s3fFTmArrBt6 2026-09-13 7/350 2026-09-17 23:28 by cuPZTDXS3VOd
[找工作] 售SCI一区T0P文章,我:8O.55.1.O.5.4,科目齐全,可+急 +6 s3fFTmArrBt6 2026-09-13 6/300 2026-09-17 23:28 by cuPZTDXS3VOd
[找工作] 售SCI一区T0P文章,我:8.O.55.1.O54,科目全,可伽急 +6 3n8v2C8RimXI 2026-09-13 7/350 2026-09-17 22:51 by cuPZTDXS3VOd
[硕博家园] 售SCI-T0P文章,我:8O.5.5.1.O.54,科目齐全,可+急 +6 3n8v2C8RimXI 2026-09-13 6/300 2026-09-17 22:29 by cuPZTDXS3VOd
[公派出国] 售SCI一区T0P文章,我:8.O55.1.O.54,科目全,可十急 +8 QUjhNVAcOSff 2026-09-13 12/600 2026-09-17 22:15 by cuPZTDXS3VOd
[考博] 售SCI一区T0P文章,我:8O.55.1.O.5.4,科目齐全,可+急 +5 40ms4Wlo4umh 2026-09-14 5/250 2026-09-17 14:05 by ObVzqQQh1rrE
[找工作] 售SCI一区T0P文章,我:8.O.55.1.O54,科目全,可伽急 +5 s3fFTmArrBt6 2026-09-14 6/300 2026-09-17 12:29 by ObVzqQQh1rrE
[公派出国] 售SCI一区文章,我:8.O.551.O.5.4,科目全,可伽急 +4 40ms4Wlo4umh 2026-09-14 4/200 2026-09-17 04:26 by k06BKNblrGRH
[找工作] 售SCI一区T0P文章,我:8.O.55.1.O.5.4,科目全,可+急 +6 6F5UbRU2I5hL 2026-09-14 6/300 2026-09-17 03:04 by Tql5LQhh5rLK
[考研] 售SCI一区文章,我:8O5.5.1.O5.4,科目全,可伽急 +4 23jxep3nCNZb 2026-09-14 4/200 2026-09-16 21:03 by MHf40yA0Uhyb
[考研] 售SCI一区T0P文章,我:8.O.55.1.O.5.4,科目全,可+急 +4 s3fFTmArrBt6 2026-09-13 6/300 2026-09-16 16:00 by i3KBRD19ERkG
[考博] 售SCI文章,我:8O5.5.1.O.54,科目齐全,可+急 +7 QUjhNVAcOSff 2026-09-13 7/350 2026-09-16 14:36 by i3KBRD19ERkG
[考博] 上海工程技术大学激光智能制造课题组招收博士研究生 +8 两三岁ss 2026-09-14 8/400 2026-09-16 09:46 by 水士口
[找工作] 售SCI一区T0P文章,我:8.O.55.1.O.5.4,科目全,可+急 +7 QUjhNVAcOSff 2026-09-13 8/400 2026-09-16 02:23 by DgNGHc3h5tPl
[考博] 售SCI一区文章,我:8O5.5.1.O5.4,科目全,可伽急 +7 s3fFTmArrBt6 2026-09-14 7/350 2026-09-15 16:23 by CgyNCDVNhGVg
[教师之家] 售SCI-T0P文章,我:8O.5.5.1.O.54,科目齐全,可+急 +3 6F5UbRU2I5hL 2026-09-14 3/150 2026-09-15 08:26 by C79jjtjAKjEn
[教师之家] 售SCI一区T0P文章,我:8.O.55.1.O.54,科目齐全,可+急 +6 3n8v2C8RimXI 2026-09-13 6/300 2026-09-15 05:38 by 5BDX0d0WFp7t
信息提示
请填处理意见