The Son of Thor would interact in diverse ways. With Annabeth, he could have some intellectual exchanges. She might be intrigued by the Norse mythology he represents and how it compares to Greek mythology. Grover would be friendly towards him, and they could share stories about their different worlds while on a journey. As for Percy's other friends, the Son of Thor would bring his own sense of honor and strength, which could earn him respect or cause some friction depending on the situation.
The theme of family also pops up a lot. Percy has to deal with his new family in the Norse context, and how it relates to his Greek family. There's often a sense of him trying to fit in or find his place among his new kin. It can be quite a complex and emotional journey as he navigates these relationships. Sometimes there are also themes of betrayal, where he might face enemies within his new family or those who are jealous of his new - found status as Thor's son.
One common theme is identity. Percy has to figure out who he is now as the Son of Thor in addition to being a demigod in the Greek sense. Another theme is power. He might have new powers from Thor, and the fanfics often explore how he learns to control and use them. There's also the theme of family, as he now has a connection to the Norse pantheon through Thor.
Yes, there are some great ones. You can start by looking on fanfiction platforms like Archive of Our Own. Just search for 'Percy Jackson Son of Thor' and you'll find various stories with different takes on the concept. Some might explore Percy's newfound relationship with Thor as his father, while others could focus on how he uses Thor - like powers in the world of Percy Jackson.
Another good one is 'The Trials of Percy, Son of Thor'. In this story, Percy is put through a series of trials that test not only his physical strength but also his mental fortitude. It combines elements of Greek and Norse mythology in a really interesting way, like how Percy uses his knowledge of Greek magic in the Norse - themed trials.
One interesting plot could be Percy using his water powers in Asgard. Since Asgard has its own unique environment, his powers might interact in unexpected ways with the magical elements there. For example, he could create ice sculptures in the middle of a battle, which not only serve as a defense but also as a distraction to the enemies.
In most Percy Jackson canon, there is no relation to Thor. However, in fanfiction, anything can be possible. It could be that the author has created a unique crossover where Percy Jackson has some connection to being the heir of Thor, perhaps through some magical or divine intervention that the fanfic writer has dreamed up.
A possible plot for this fanfiction could be that the Son of Thor is on a quest to retrieve a powerful artifact that has been lost in the world of Percy Jackson. Along the way, he teams up with various characters. He might have to deal with the cultural differences between the Norse and Greek ways. For example, the way they approach magic or combat. His interactions with other demigods could be filled with misunderstandings at first, but as they journey together, they come to understand and rely on each other. This could also lead to some interesting crossovers in powers and strategies.
His physical strength might increase. Thor is known for his great strength, and as his adopted son, Percy could inherit some of that. He might be able to lift heavier objects or fight more powerfully in close - combat situations. Maybe he could even hold Mjolnir for a short period of time, which would be a huge boost to his powers and status in both the Greek and Asgardian worlds.
Another possibility is that during a quest, Percy finds himself in a place related to Thor's history. It could be an old Norse temple or a realm connected to Thor. There, he discovers hidden records or runes that point to his relation to Thor. This discovery would not only shock him but also open up new storylines such as him exploring his Norse heritage along with his Greek demigod side.