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Description
The Geometry of Kerr Black HolesThis unique monograph by a noted UCLA professor examines in detail the mathematics of Kerr black holes, which possess the properties of mass and angular momentum but carry no electrical charge. Suitable for advanced undergraduates and graduate students of mathematics, physics, and astronomy as well as professional physicists, the self contained treatment constitutes an introduction to modern techniques in differential geometry. The text begins with a
This unique monograph by a noted UCLA professor examines in detail the mathematics of Kerr black holes, which possess the properties of mass and angular momentum but carry no electrical charge. Suitable for advanced undergraduates and graduate students of mathematics, physics, and astronomy as well as professional physicists, the self-contained treatment constitutes an introduction to modern techniques in differential geometry.The text begins with a substantial chapter offering background on the mathematics needed for the rest of the book. Subsequent chapters emphasize physical interpretations of geometric properties such as curvature, geodesics, isometries, totally geodesic submanifolds, and topological structure. Further investigations cover relativistic concepts such as causality, Petrov types, optical scalars, and the Goldberg-Sachs theorem. Four helpful appendixes supplement the text.
Binding Type: Paperback
Publisher: Dover Publications
Published: 03/19/2014
ISBN: 9780486493428
Pages: 381
Weight: 1.20lbs
Size: 9.20h x 6.10w x 0.70d
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★★★★★ 5
Great first pair of shoes
Size: 9-12 Months Infant, Color: Brooks Navy
Love love love! The cutest shoes and great reviews led me to purchase these as our first shoes. Nice leather upper material, super easy to put on, and soft/comfortable for my little guy.
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Reviewed in the United States on April 12, 2026
★★★★★ 5
Love love love Robeez. Best soft soled shoes for baby/toddler just learning to walk.
Size: 12-18 Months Toddler, Color: Grey Leather
I can’t even tell you how much I love these shoes for my kids. My oldest son born 2018 had a pair of Robeez, the shark kind, and I’ve passed them down through all my boys until now- now somehow one of them has gone missing, still looking. So we got these for baby and oh my gosh Robeez has upped their game! The soles are still soft enough to be pliable but have some structure to them, they fit softly enough to accommodate round chubby feet but again have some structure, and they look adorable. The quality is really high and that’s so wonderful to see this day and age when so many things are produced cheaply. These are truly lovely. And they’re very handsome. My sweet boy wore them to a birthday party at the park and they were a hit. I love this brand so much, and these shoes are so cute. I wish I were having more kids to buy more cute pairs :)
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Reviewed in the United States on March 26, 2025
★★★★★ 5
The Perfect First Shoe! Worth the Price.
My little one was just starting the stand/learning to walk and we wanted something to protect his feet while we were out of the house. Since babies/toddlers grow out of their shoes so quickly, I tried desperately to find shoes that didn't cost more than $20. However, I tried about 6 different "cheaper" shoes, all different brands, and nothing would stay on my babies feet. I finally broke down and bought these shoes and they are perfect. I ended up wasting more money trying not to spend too much money on shoes that would be too small after a couple months. It would have been cheaper for me to just buy these shoes to start.
Fit wise they are great. Super easy to put on. They stay on! I appreciate the rubber portion on the sole because it gave my little one more traction when he was learning to walk. They are light way and the sole is very flexible which is important for the proper development of their feet. I just wish they made larger sizes because I am going to have to start the hunt all over for the perfect shoe once he grows out of the biggest size that Robeez sells.
Save yourself time and avoid wasting money on shoes that don't stay on. Just buy these shoes!
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Reviewed in the United States on November 28, 2023
★★★★★ 5
Cute and STABLE
Size: 12-18 Months Toddler, Color: Navy Leather
This brand was recommended by a family member as being good for kids who are learning how to walk, and I definitely agree. My son had a different pair of shoes from Carter’s that fit well and looked cute, but the soles were a little too slick for an early walker despite having little rubberized dots on them. I like that these have more realistic soles, with real traction and support, but still allow the kid’s foot to flex. My son is very comfortable in them and was immediately noticeably more stable while standing and practicing walking in them. Bonus- they are super cute and this design is neutral enough to go with plenty of his clothes. My only small complaint is a little thread coming loose on one shoe, but so far it isn’t causing any issues/doesn’t seem to be unraveling anything structural. Highly recommend overall!
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Reviewed in the United States on May 13, 2022
★★★★★ 4
Great shoes!
Size: 18-24 Months Toddler, Color: Grey Leather
Love these shoes, only shoes I put my 15 month old in. However, they do run small. I bought 12-18 month size and my boy out grew them before 12 months old, I had to repurchase 18-24m to fit perfectly.
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Reviewed in the United States on November 8, 2025